Content-Type: multipart/mixed; boundary="-------------0202190806514" This is a multi-part message in MIME format. ---------------0202190806514 Content-Type: text/plain; name="02-75.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="02-75.keywords" Lorentz gas, Gaussian thermostat, Electrical current, Steady state ---------------0202190806514 Content-Type: application/x-tex; name="bdlr_d.tex" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="bdlr_d.tex" %%%%%%%%%%%%%%%%%%%%%%%% FORMATO %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newcount\mgnf\newcount\tipi\newcount\tipoformule \newcount\aux\newcount\driver\newcount\cind\global\newcount\bz \newcount\tipobib\newcount\stile\newcount\modif \newcount\noteno\noteno=1\newcount\pos\newcount\figure \newdimen\stdindent\newdimen\bibskip \newdimen\maxit\maxit=0pt \stile=0 %0->articolo 1->tesi \tipobib=1 %tipo bibliografia 1->numerica 0->simbolica \bz=0 %1->bozza 0->finale \cind=0 %0->niente indice \mgnf=0 %ingrandimento \tipoformule=0 %=0 da numeroparagrafo.numeroformula; =1 numero %scritto \aux=1 %=0 non produce output sullo schermo per le formule, =1 si. \pos=1 %=0 figure dove messe, 1 decide il tex \figure=1 %=0 niente figure %%%%%%%%%%%%%%%%%%%%%%%%%%%% INCIPIT %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \ifnum\mgnf=0 \magnification=\magstep0 \hsize=17truecm\vsize=24truecm\hoffset=-0.5truecm\voffset=-1.0truecm \parindent=4.pt\stdindent=\parindent\fi \ifnum\mgnf=1 \magnification=\magstep1\hoffset=-0.5truecm \voffset=-1.0truecm\hsize=18truecm\vsize=24.truecm \baselineskip=14pt plus0.1pt minus0.1pt \parindent=6pt \lineskip=4pt\lineskiplimit=0.1pt \parskip=0.1pt plus1pt \stdindent=\parindent\fi \ifnum\mgnf=2 \magnification=\magstep2\hoffset=-1.5truecm \voffset=-1.0truecm\hsize=19truecm\vsize=24.truecm \baselineskip=14pt plus0.1pt minus0.1pt \parindent=6pt \lineskip=4pt\lineskiplimit=0.1pt\fi %%%%%%%%%%%%%%%%%%%%%%%%%%%% STILI %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \def\fine#1{} \def\draft#1{\bz=1\ifnum\mgnf=1\baselineskip=22pt \else\baselineskip=16pt\fi \ifnum\stile=0\headline={\hfill DRAFT #1}\fi\raggedbottom \setbox150\vbox{\parindent=0pt\centerline{\bf Figures' captions}\*} \def\gnuins ##1 ##2 ##3{\gnuinsf {##1} {##2} {##3}} \def\gnuin ##1 ##2 ##3 ##4 ##5 ##6{\gnuinf {##1} {##2} {##3} {##4} {##5} {##6}} \def\eqfig##1##2##3##4##5##6{\eqfigf {##1} {##2} {##3} {##4} {##5} {##6}} \def\eqfigbis##1##2##3##4##5##6##7 {\eqfigbisf {##1} {##2} {##3} {##4} {##5} {##6} {##7}} \def\eqfigfor##1##2##3##4##5##6##7 {\eqfigforf {##1} {##2} {##3} {##4} {##5} {##6} {##7}} \def\fine ##1{\vfill\eject\parindent=0pt \def\geq(####1){} \unvbox150\vfill\eject\raggedbottom \centerline{FIGURES}\unvbox149 ##1}} \def\large{\draft{}\bz=0\headline={\hfill}} %%%%%%%%%%%%%%%%%%%%%%%%%%%%% PRIMA PAGINA %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newcount\prau \def\titolo#1{\setbox197\vbox{ \leftskip=0pt plus16em \rightskip=\leftskip \spaceskip=.3333em \xspaceskip=.5em \parfillskip=0pt \pretolerance=9999 \tolerance=9999 \hyphenpenalty=9999 \exhyphenpenalty=9999 \ftitolo #1}} \def\abstract#1{\setbox198\vbox{ \centerline{\vbox{\advance\hsize by -2cm \parindent=0pt\it Abstract: #1}}}} \def\parole#1{\setbox195\hbox{ \centerline{\vbox{\advance\hsize by -2cm \parindent=0pt Keywords: #1.}}}} \def\autore#1#2{\setbox199\hbox{\unhbox199\ifnum\prau=0 #1% \else, #1\fi\global\advance\prau by 1$^{\simbau}$} \setbox196\vbox{\advance\hsize by -\parindent\copy196\ottopunti\item{$^{\simbau}$}{#2}}} \def\prima{\unvbox197\vskip1truecm\centerline{\unhbox199}\footnote{}{\unvbox196} \vskip1truecm\unvbox198\vskip1truecm\copy195} \def\simbau{\ifcase\prau \or \dagger \or \ddagger \or * \or \star \or \bullet\fi} %%%%%%%%%%%%%%%%%%%%%%%%%%%%% GRECO %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \let\a=\alpha \let\b=\beta \let\g=\gamma \let\d=\delta \let\e=\varepsilon \let\z=\zeta \let\h=\eta \let\th=\vartheta\let\k=\kappa \let\l=\lambda \let\m=\mu \let\n=\nu \let\x=\xi \let\p=\pi \let\r=\rho \let\s=\sigma \let\t=\tau \let\iu=\upsilon \let\f=\varphi\let\ch=\chi \let\ps=\psi \let\o=\omega \let\y=\upsilon \let\G=\Gamma \let\D=\Delta \let\Th=\Theta \let\L=\Lambda\let\X=\Xi \let\P=\Pi \let\Si=\Sigma \let\F=\Phi \let\Ps=\Psi \let\O=\Omega \let\U=\Upsilon \let\ge=\geq \let\le=\leq \let\is=\i %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% ORA E DATA %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% {\count255=\time\divide\count255 by 60 \xdef\oramin{\number\count255} \multiply\count255 by-60\advance\count255 by\time \xdef\oramin{\oramin:\ifnum\count255<10 0\fi\the\count255}} \def\ora{\oramin } \def\data{\number\day/\ifcase\month\or gennaio \or febbraio \or marzo \or aprile \or maggio \or giugno \or luglio \or agosto \or settembre \or ottobre \or novembre \or dicembre \fi/\number\year;\ \ora} \setbox200\hbox{$\scriptscriptstyle \data $} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% NUMERAZIONE PAGINE %%%%%%%%%%%%%%%%%%%%%%% \newcount\pgn \pgn=1 \newcount\firstpage \def\foglio{\number\numsec:\number\pgn\global\advance\pgn by 1} \def\foglioa{A\number\numsec:\number\pgn\global\advance\pgn by 1} \def\pagina{\vfill\eject} \def\ppagina{\ifodd\pageno\pagina\null\pagina\else\pagina\fi} \def\ppaginan{\ifodd-\pageno\pagina\null\pagina\else\pagina\fi} \def\setind{\firstpage=\pageno} \def\setcap#1{\null\def\titlecap{#1}\global\firstpage=\pageno} \def\titletesi{Indici critici per sistemi fermionici in una dimensione} \def\nopagenumbers{\headline={\hfil}\footline={\hfil}} \ifnum\stile=1 \def\pagenumbers{\headline={% \ifnum\pageno=\firstpage\hfil\else% \ifodd\pageno\hfill{\sc\titlecap}~~{\bf\folio}% \else{\bf\folio}~~{\sc\titletesi}\hfill\fi\fi} \footline={\ifnum\bz=0 \hfill\else\rlap{\hbox{\copy200}\ $\st[\foglio]$}\hfill\fi}} \def\pagenumbersind{\headline={% \ifnum\pageno=\firstpage\hfil\else% \ifodd\pageno\hfill{\rm\romannumeral-\pageno}% \else{\rm\romannumeral-\pageno}\hfill\fi\fi} \footline={\ifnum\bz=0 \hfill\else\rlap{\hbox{\copy200}\ $\st[\foglio]$}\hfill\fi}} \else \def\pagenumbers{\headline={\hfill} \footline={\ifnum\bz=0\hfill\folio\hfill \else\rlap{\hbox{\copy200}\ $\st[\foglio]$} \hfill\folio\hfill\fi}} \fi \pagenumbers \def\numeropag#1{ \ifnum #1<0 \romannumeral -#1\else \number #1\fi } %%%%%%%%%%%%%%%%% EQUAZIONI CON NOMI SIMBOLICI %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%% %%% per assegnare un nome simbolico ad una equazione basta %%% scrivere \Eq(...) o, in \eqalignno, \eq(...) o, %%% nelle appendici, \Eqa(...) o \eqa(...): %%% dentro le parentesi e al posto dei ... %%% si puo' scrivere qualsiasi commento; %%% per assegnare un nome simbolico ad una figura, basta scrivere %%% \geq(...); per avere i nomi %%% simbolici segnati a sinistra delle formule e delle figure si deve %%% dichiarare il documento come bozza, iniziando il testo con %%% \BOZZA. %%% All' inizio di ogni paragrafo si devono definire il %%% numero del paragrafo e della prima formula dichiarando %%% \numsec=... \numfor=... (brevetto Eckmannn); all'inizio del lavoro %%% bisogna porre \numfig=1 (il numero delle figure non contiene la sezione. %%% Si possono citare formule o figure seguenti; le corrispondenze fra nomi %%% simbolici e numeri effettivi sono memorizzate nel file \jobname.aux, che %%% viene letto all'inizio, se gia' presente. E' possibile citare anche %%% formule o figure che appaiono in altri file, purche' sia presente il %%% corrispondente file .aux. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \global\newcount\numsec\global\newcount\numfor \global\newcount\numfig\global\newcount\numpar \global\newcount\numteo\global\newcount\numlem \numfig=1\numsec=0 \gdef\profonditastruttura{\dp\strutbox} \def\senondefinito#1{\expandafter\ifx\csname #1\endcsname\relax} \def\SIA #1,#2,#3 {\senondefinito{#1#2}% \expandafter\xdef\csname#1#2\endcsname{#3}\else% \write16{???? ma #1,#2 e' gia' stato definito !!!!}\fi} \def\etichetta(#1){(\veroparagrafo.\veraformula) \SIA e,#1,(\veroparagrafo.\veraformula) \global\advance\numfor by 1 \write15{\string\FU (#1){\equ(#1)}} \9{ \write16{ EQ \equ(#1) == #1 }}} \def \FU(#1)#2{\SIA fu,#1,#2 } \def\etichettaa(#1){(A\veroparagrafo.\veraformula) \SIA e,#1,(A\veroparagrafo.\veraformula) \global\advance\numfor by 1 \write15{\string\FU (#1){\equ(#1)}} \9{ \write16{ EQ \equ(#1) == #1 }}} \def \FU(#1)#2{\SIA fu,#1,#2 } \def\tetichetta(#1){\veroparagrafo.\veroteorema \SIA e,#1,{\veroparagrafo.\veroteorema} \global\advance\numteo by1 \write15{\string\FU (#1){\equ(#1)}}% \9{\write16{ EQ \equ(#1) == #1}}} \def\tetichettaa(#1){A\veroparagrafo.\veroteorema \SIA e,#1,{A\veroparagrafo.\veroteorema} \global\advance\numteo by1 \write15{\string\FU (#1){\equ(#1)}}% \9{\write16{ EQ \equ(#1) == #1}}} \def\letichetta(#1){\veroparagrafo.\verolemma \SIA e,#1,{\veroparagrafo.\verolemma} \global\advance\numlem by1 \write15{\string\FU (#1){\equ(#1)}}% \9{\write16{ EQ \equ(#1) == #1}}} \def\getichetta(#1){{\bf Fig. \verafigura}: \SIA e,#1,{\verafigura} \global\advance\numfig by 1 \write15{\string\FU (#1){\equ(#1)}} \9{ \write16{ Fig. \equ(#1) ha simbolo #1 }}} \def\veroparagrafo{\number\numsec}\def\veraformula{\number\numfor} \def\verafigura{\number\numfig}\def\veroteorema{\number\numteo} \def\verolemma{\number\numlem} \def\geq(#1){\getichetta(#1)\galato(#1)} \def\Eq(#1){\eqno{\etichetta(#1)\alato(#1)}} \def\eq(#1){&\etichetta(#1)\alato(#1)} \def\Eqa(#1){\eqno{\etichettaa(#1)\alato(#1)}} \def\eqa(#1){&\etichettaa(#1)\alato(#1)} \def\teq(#1){\tetichetta(#1)\talato(#1)} \def\teqa(#1){\tetichettaa(#1)\talato(#1)} \def\leq(#1){\letichetta(#1)\talato(#1)} \def\Eqr{\eqno(\veroparagrafo.\veraformula)\advance\numfor by 1} \def\eqr{&(\veroparagrafo.\veraformula)\advance\numfor by 1} \def\Eqar{\eqno(A\veroparagrafo.\veraformula)\advance\numfor by 1} \def\eqar{&(A\veroparagrafo.\veraformula)\advance\numfor by 1} \def\eqv(#1){\senondefinito{fu#1}$\clubsuit#1$\write16{Manca #1 !}% \else\csname fu#1\endcsname\fi} \def\equ(#1){\senondefinito{e#1}\eqv(#1)\else\csname e#1\endcsname\fi} %%%%%%%%%%%%%%%%%%%%%%%%%% BOZZA %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newdimen\gwidth \def\commenta#1{\ifnum\bz=1\strut \vadjust{\kern-\profonditastruttura \vtop to \profonditastruttura{\baselineskip \profonditastruttura\vss \rlap{\kern\hsize\kern0.1truecm \vbox{\hsize=1.7truecm\raggedright\nota\noindent #1}}}}\fi} \def\talato(#1){\ifnum\bz=1\strut \vadjust{\kern-\profonditastruttura \vtop to \profonditastruttura{\baselineskip \profonditastruttura\vss \rlap{\kern-1.2truecm{$\scriptstyle#1$}}}}\fi} \def\alato(#1){\ifnum\bz=1 {\vtop to \profonditastruttura{\baselineskip \profonditastruttura\vss \rlap{\kern-\hsize\kern-1.2truecm{$\scriptstyle #1$}}}}\fi} \def\galato(#1){\ifnum\bz=1 \gwidth=0pt %\divide\gwidth by 2 {\vtop to \profonditastruttura{\baselineskip \profonditastruttura\vss \rlap{\kern-\gwidth\kern-2.2truecm{$\scriptstyle#1$}}}}\fi} %%%%%%%%%%%%%%%%%%%%%%%% CARATTERI %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \def\magg{\ifnum\mgnf=0\magstep0\else\magstep1\fi} \newskip\ttglue \font\dodicirm=cmr12\font\dodicibf=cmbx12\font\dodiciit=cmti12 \font\ftitolo=cmbx12 %scaled \magstep2 \font\eighttt=cmtt8 \font\sevenit=cmti7 \font\sevensl=cmsl8 \font\sc=cmcsc10 \font\fparte=cmbx12 scaled\magstep2 \font\msxtw=msbm10 scaled\magstep1 \font\euftw=eufm10 scaled\magstep1 \font\msytw=msbm10 scaled\magstep1 \font\msytww=msbm8 scaled\magstep1 \font\msytwww=msbm7 scaled\magstep1 \font\indbf=cmbx10 scaled\magstep2 %%%%%%% \def\settepunti{\def\rm{\fam0\sevenrm} \textfont0=\sevenrm \scriptfont0=\fiverm \scriptscriptfont0=\fiverm \textfont1=\seveni \scriptfont1=\fivei \scriptscriptfont1=\fivei \textfont2=\sevensy \scriptfont2=\fivesy \scriptscriptfont2=\fivesy \textfont3=\tenex \scriptfont3=\tenex \scriptscriptfont3=\tenex \textfont\itfam=\sevenit \def\it{\fam\itfam\sevenit}% \textfont\slfam=\sevensl \def\sl{\fam\slfam\sevensl}% \textfont\ttfam=\eighttt \def\tt{\fam\ttfam\eighttt} \textfont\bffam=\sevenbf \scriptfont\bffam=\fivebf \scriptscriptfont\bffam=\fivebf \def\bf{\fam\bffam\sevenbf}% \tt \ttglue=.5em plus.25em minus.15em \setbox\strutbox=\hbox{\vrule height6.5pt depth1.5pt width0pt}% \let\sc=\fiverm \normalbaselines\rm \ifnum\mgnf=0\baselineskip=8pt\normalbaselineskip=8pt \else\baselineskip=14pt\normalbaselineskip=14pt\fi} \font\eightrm=cmr8 scaled \magg \font\eightbf=cmbx8 scaled \magg \font\eightit=cmti8 scaled \magg \font\eightsl=cmsl8 scaled \magg \font\eighttt=cmtt8 scaled \magg \font\eightsy=cmsy8 scaled \magg \font\eighti=cmmi8 scaled \magg \font\sixrm=cmr6 scaled \magg \font\sixbf=cmbx6 scaled \magg \font\sixit=cmti6 scaled \magg \font\sixsl=cmsl6 scaled \magg \font\sixtt=cmtt6 scaled \magg \font\sixsy=cmsy6 scaled \magg \font\sixi=cmmi6 scaled \magg \def\ottopunti{\def\rm{\fam0\eightrm}% \textfont0=\eightrm\scriptfont0=\sixrm\scriptscriptfont0=\fiverm% \textfont1=\eighti\scriptfont1=\sixi\scriptscriptfont1=\fivei% \textfont2=\eightsy\scriptfont2=\sixsy\scriptscriptfont2=\fivesy% \textfont3=\tenex\scriptfont3=\tenex\scriptscriptfont3=\tenex% \textfont\itfam=\eightit\def\it{\fam\itfam\eightit}%% \textfont\slfam=\eightsl\def\sl{\fam\slfam\eightsl}% \textfont\ttfam=\eighttt\def\tt{\fam\ttfam\eighttt}% \textfont\bffam=\eightbf % \scriptfont\bffam=\sixbf\scriptscriptfont\bffam=\fivebf % \def\bf{\fam\bffam\eightbf}% \ttglue=.5em plus.25em minus.15em% \setbox\strutbox=\hbox{\vrule height6.5pt depth1.5pt width0pt}% \let\sc=\fiverm \normalbaselines\rm \ifnum\mgnf=0\baselineskip=8pt\normalbaselineskip=8pt \else\baselineskip=18pt\normalbaselineskip=18pt\fi}% \let\nota=\ottopunti \def\RRR{\hbox{\msytw R}} \def\rrrr{\hbox{\msytww R}} \def\rrr{\hbox{\msytwww R}} \def\CCC{\hbox{\msytw C}} \def\cccc{\hbox{\msytww C}} \def\ccc{\hbox{\msytwww C}} \def\NNN{\hbox{\msytw N}} \def\nnnn{\hbox{\msytww N}} \def\nnn{\hbox{\msytwww N}} \def\ZZZ{\hbox{\msytw Z}} \def\zzzz{\hbox{\msytww Z}} \def\zzz{\hbox{\msytwww Z}} \def\TTT{\hbox{\msytw T}} \def\tttt{\hbox{\msytww T}} \def\ttt{\hbox{\msytwww T}} %%%%%%%% \font\tenmib=cmmib10 \font\sevenmib=cmmib10 scaled 800 \textfont5=\tenmib \scriptfont5=\sevenmib \scriptscriptfont5=\fivei \mathchardef\aaa= "050B \mathchardef\xxx= "0518 \mathchardef\oo = "0521 \mathchardef\Dp = "0540 \mathchardef\H = "0548 \mathchardef\FFF= "0546 \mathchardef\ppp= "0570 \mathchardef\nnn= "0517 %%%%%%%%%%%%%%%%%%%%%%%%%%% GRAFICA %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % %TO PRINT THE POSTCRIPT FIGURES THE DRIVER NUMBER MIGHT HAVE TO BE %ADJUSTED. IF the 4 choices 0,1,2,3 do not work set in the following line %the \driver variable to =5. Setting it =0 works with dvilaser setting it %=1 works with dvips, =2 with psprint (hopefully). %Using =5 prints incomplete figures (but still understandable from the %text). The value MUST be set =5 if the printer is not a postscript one. %%% the values =0,1 have been tested. The figures are automatically %%% generated. % % Inizializza le macro postscript e il tipo di driver di stampa. % Attualmente le istruzioni postscript vengono utilizzate solo se il driver % e' DVILASER ( \driver=0 ), DVIPS ( \driver=1) o PSPRINT ( \driver=2); % qualunque altro valore di \driver produce un output in cui le figure % contengono solo i caratteri inseriti con istruzioni TEX (vedi avanti). % % 1) comando \ins#1#2#3 % Inserisce una scatola contenente #3 in modo che l'angolo superiore sinistro % occupi la posizione (#1,#2) % 2) comando \eqfig#1#2#3#4#5 % Crea una scatola di dimensioni #1x#2 contenente il disegno descritto in % #4.ps; in questo disegno si possono introdurre delle stringhe usando \ins % e mettendo le istruzioni relative in #3 (che puo' anche mancare); % Il file esterno #4.ps contiene le istruzioni postscript, che devono % essere scritte % presupponendo che l'origine sia nell'angolo inferiore sinistro della % scatola, mentre per il resto l'ambiente grafico e' quello standard. % Infine #5 viene scritto a destra della figura e e' un testo tex, % tipicamente fig.x oppure \equ(x.y) se la si considera una formula. % Se \driver=2, e' necessario dilatare la figura in accordo al valore di % \magnification, correggendo i parametri P1 e P2 nell'istruzione % \special{#4.ps P1 P2 scale} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newdimen\xshift \newdimen\xwidth \newdimen\yshift \newdimen\ywidth \newdimen\laln \ifnum\pos=0\def\midinsert{}\def\endinsert{}\fi \def\ins#1#2#3{\nointerlineskip\vbox to0pt {\kern-#2 \hbox{\kern#1 #3} \vss}} \def\lineauno#1#2#3#4{ \xwidth=#1 \xshift=\hsize \advance\xshift by-\xwidth \divide\xshift by 2 \yshift=#2 \divide\yshift by 2 \parindent=0pt \line{\hglue\xshift \vbox to #2{\hsize #1\vfil #3 \special{psfile=#40.ps } }\hfill}} \def\unafig#1#2#3#4#5#6{ \setbox99\vbox{\parindent=0pt\par\lineauno{#1}{#2}{#3}{#4} \nobreak \smallskip \didascalia{\geq(#6)#5}}} \def\eqfig#1#2#3#4#5#6{ \unafig{#1}{#2}{#3}{#4}{#5}{#6} \midinsert\unvbox99\endinsert } \def\eqfigf#1#2#3#4#5#6{ \unafig{#1}{#2}{#3}{#4}{#5}{#6} \midinsert\unvbox99\endinsert \setbox149\vbox{\unvbox149 \*\* \centerline{Fig. \equ(#6)} \nobreak \* \nobreak \lineauno{#1}{#2}{#3}{#4}} \setbox150\vbox{\unvbox150 \parindent=0pt\*{\bf Fig. \equ(#6)}: #5} } \def\lineadue#1#2#3#4#5{ \xwidth=#1 \multiply\xwidth by 2 \xshift=\hsize \advance\xshift by-\xwidth \divide\xshift by 3 \yshift=#2 \divide\yshift by 2 \ywidth=#2 \parindent=0pt \line{\hfill%\hglue\xshift \vbox to \ywidth{\vfil #3 \special{psfile=#50.ps}} \hskip\xshift% \vbox to \ywidth{\vfil #4 \special{psfile=#51.ps}}}} \def\duefig#1#2#3#4#5#6#7{ \setbox99\vbox{\parindent=0pt\par\lineadue{#1}{#2}{#3}{#4}{#5} \nobreak \*\* \didascalia{\geq(#7)#6}}} \def\eqfigbisf#1#2#3#4#5#6#7{ \duefig{#1}{#2}{#3}{#4}{#5}{#6}{#7} \midinsert\unvbox99\endinsert \setbox149\vbox{\unvbox149 \*\* \centerline{Fig. \equ(#7)} \nobreak \* \nobreak \lineadue{#1}{#2}{#3}{#4}{#5}} \setbox150\vbox{\unvbox150 \parindent=0pt\*{\bf Fig. \equ(#7)}: #6\*} } \def\eqfigbis#1#2#3#4#5#6#7{ \duefig{#1}{#2}{#3}{#4}{#5}{#6}{#7} \midinsert\unvbox99\endinsert } \def\dimenfor#1#2{\par\xwidth=#1 \multiply\xwidth by 2 \xshift=\hsize \advance\xshift by-\xwidth \divide\xshift by 3 \divide\xwidth by 2 \yshift=#2 %\divide\yshift by 2 \ywidth=#2} \def\lineaquattro#1#2#3#4#5{ \parindent=0pt \hbox to \hsize{\hskip\xshift \hbox to \xwidth{\vbox to \ywidth{\vfil#1\special{psfile=#50.ps}}\hfill}% \hskip\xshift% \hbox to \xwidth{\vbox to \ywidth{\vfil#2\special{psfile=#51.ps}}\hfill}\hfill} \nobreak \line{\hglue\xshift \hbox to \xwidth{\vbox to \ywidth{\vfil #3 \special{psfile=#52.ps}}\hfill}% \hglue\xshift \hbox to \xwidth{\vbox to\ywidth {\vfil #4 \special{psfile=#53.ps}}\hfill}\hfill}} \def\quattrofig#1#2#3#4#5#6#7{ \setbox99\vbox{\parindent=0pt\par\lineaquattro{#1}{#2}{#3}{#4}{#5} \nobreak \*\* \didascalia{\geq(#7)#6}}} \def\eqfigforf#1#2#3#4#5#6#7{ \quattrofig{#1}{#2}{#3}{#4}{#5}{#6}{#7} \midinsert\unvbox99\endinsert \setbox149\vbox{\unvbox149 \*\* \centerline{Fig. \equ(#7)} \nobreak \* \nobreak \lineadue{#1}{#2}{#3}{#4}{#5}} \setbox150\vbox{\unvbox150 \parindent=0pt\*{\bf Fig. \equ(#7)}: #6\*}} \def\eqfigfor#1#2#3#4#5#6#7{ \quattrofig{#1}{#2}{#3}{#4}{#5}{#6}{#7} \midinsert\unvbox99\endinsert } \def\eqfigter#1#2#3#4#5#6#7{ \line{\hglue\xshift \vbox to \ywidth{\vfil #1 \special{psfile=#2.ps}} \hglue30pt \vbox to \ywidth{\vfil #3 \special{psfile=#4.ps}}\hfill} \multiply\xshift by 3 \advance\xshift by \xwidth \divide\xshift by 2 \line{\hfill\hbox{#7}} \line{\hglue\xshift \vbox to \ywidth{\vfil #5 \special{psfile=#6.ps}}}} %%%%%%%%%%%%%%%%%%%%%%%%%% DISEGNO %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % permette di scrivere file postscript in un test tex: % il file postcript va scritto nel file tex riga per riga nella forma % \8< .......... > % dove i puntini stanno per una riga del file. A queste righe va % premesso \figini#1 e posposto \figfin % Il file postscript riceve il nome #1.ps %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \def\7{\ifnum\modif=1\write13\else\write12\fi} \def\8{\immediate\write13} \def\figini#1{ \catcode`\%=12\catcode`\{=12\catcode`\}=12 \catcode`\<=1\catcode`\>=2 \immediate\openout13=#1.ps \immediate\openout12=null.tex} \def\figfin{ \closeout13 \catcode`\%=14\catcode`\{=1 \catcode`\}=2\catcode`\<=12\catcode`\>=12} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% GRAFICI GNUPLOT %%%%%%%%%%%%%%%%%%%%%%%%%%% \def\gnuin #1 #2 #3 #4 #5 #6{\midinsert\vbox{\vbox to 260pt{ \hbox to 420pt{ \hbox to 200pt{\hfill\nota (a)\hfill}\hfill \hbox to 200pt{\hfill\nota (b)\hfill}} \vbox to 110pt{\vfill\hbox to 420pt{ \hbox to 200pt{\special{psfile=#1.ps}\hfill}\hfill \hbox to 200pt{\special{psfile=#2.ps}\hfill} }}\vfill \hbox to 420pt{ \hbox to 200pt{\hfill\nota (c)\hfill}\hfill \hbox to 200pt{\hfill\nota (d)\hfill}} \vbox to 110pt{\vfill\hbox to 420pt{ \hbox to 200pt{\special{psfile=#3.ps}\hfill}\hfill \hbox to 200pt{\special{psfile=#4.ps}\hfill} }}\vfill} \vskip0.25cm \0\didascalia{\geq(#5): #6}} \endinsert} \def\gnuinf #1 #2 #3 #4 #5 #6{\midinsert\nointerlineskip\vbox to 260pt{ \hbox to 420pt{ \hbox to 200pt{\hfill\nota (a)\hfill}\hfill \hbox to 200pt{\hfill\nota (b)\hfill}} \vbox to 110pt{\vfill\hbox to 420pt{ \hbox to 200pt{\special{psfile=#1.ps}\hfill}\hfill \hbox to 200pt{\special{psfile=#2.ps}\hfill} }}\vfill \hbox to 420pt{ \hbox to 200pt{\hfill\nota (c)\hfill}\hfill \hbox to 200pt{\hfill\nota (d)\hfill}} \vbox to 110pt{\vfill\hbox to 420pt{ \hbox to 200pt{\special{psfile=#3.ps}\hfill}\hfill \hbox to 200pt{\special{psfile=#4.ps}\hfill} }}\vfill} \? \0\didascalia{\geq(#5): #6} \endinsert \global\setbox150\vbox{\unvbox150 \*\*\0 Fig. \equ(#5): #6} \global\setbox149\vbox{\unvbox149 \*\* \vbox{\centerline{Fig. \equ(#5)(a)} \nobreak \vbox to 200pt{\vfill\special{psfile=#1.ps_f}}}\*\* \vbox{\centerline{Fig. \equ(#5)(b)}\nobreak \vbox to 200pt{\vfill\special{psfile=#2.ps_f}}}\*\* \vbox{\centerline{Fig. \equ(#5)(c)}\nobreak \vbox to 200pt{\vfill\special{psfile=#3.ps_f}}}\*\* \vbox{\centerline{Fig. \equ(#5)(d)}\nobreak \vbox to 200pt{\vfill\special{psfile=#4.ps_f}}} }} \def\gnuins #1 #2 #3{\midinsert\nointerlineskip \vbox{\line{\hfill\ifnum\figure=1 \vbox to 310pt{\vfill \special{psfile=#1.ps}\vskip .4truecm}\hfill\fi\hglue425pt\hfill} %\* \0\didascalia{\geq(#2)#3}} \endinsert} \def\gnuinsf #1 #2 #3{\midinsert\nointerlineskip \vbox{\line{\hfill\ifnum\figure=1\vbox to 310pt{\vfill \special{psfile=#1.ps}\vskip .4truecm}\hfill\fi\hglue380pt\hfill} %\* \0\didascalia{\geq(#2)#3}}\endinsert \global\setbox150\vbox{\unvbox150 \*\0{\bf Fig. \equ(#2)}: #3} \global\setbox149\vbox{\unvbox149 \*\* \vbox{\centerline{Fig. \equ(#2)}\nobreak \ifnum\figure=1\vbox to 300pt{\vfill\special{psfile=#1.ps}}\fi}} } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% DEFINIZIONI VARIE %%%%%%%%%%%%%%%%%%%%%%%%% \def\9#1{\ifnum\aux=1#1\else\relax\fi} \let\numero=\number \def\boh{\hbox{$\clubsuit$}\write16{Qualcosa di indefinito a pag. \the\pageno}} \def\didascalia#1{\vbox{\nota\ifnum\mgnf=0\baselineskip=10pt\normalbaselineskip=10pt \else\baselineskip=16pt\normalbaselineskip=16pt\fi \0#1\hfill}\vskip0.3truecm} \def\frac#1#2{{#1\over #2}} \def\V#1{\underline{#1}} \let\dpr=\partial \let\ciao=\bye \let\io=\infty \let\i=\infty \let\ii=\int \let\ig=\int \def\media#1{\langle{#1}\rangle} \let\0=\noindent \def\guida{\leaders\hbox to 1em{\hss.\hss}\hfill} \def\tende#1{\vtop{\ialign{##\crcr\rightarrowfill\crcr \noalign{\kern-1pt\nointerlineskip} \hglue3.pt${\scriptstyle #1}$\hglue3.pt\crcr}}} \def\otto{{\kern-1.truept\leftarrow\kern-5.truept\to\kern-1.truept}} \def\acapo{\hfill\break} \def\rar{\rightarrow} \def\Rar{\Rightarrow} \def\LRar{\Longrightarrow} \def\dag{\dagger} \def\ol#1{\overline{#1}} \def\ul#1{\underline{#1}} \def\sign{{\rm sign\,}} \def\={{ \; \equiv \; }} \def\su{{\uparrow}} \def\giu{{\downarrow}} \ifnum\mgnf=0 \def\openone{\leavevmode\hbox{\ninerm 1\kern-3.3pt\tenrm1}}% \fi \ifnum\mgnf=1 \def\openone{\leavevmode\hbox{\ninerm 1\kern-3.6pt\tenrm1}}% \fi \def\Im{{\rm\,Im\,}} \def\Re{{\rm\,Re\,}} \def\lis#1{{\overline #1}} \def\atan{{\,\rm arctg\,}} \let\dt=\displaystyle \def\2{{1\over2}} \def\txt{\textstyle} \def\igb{ \mathop{\raise4.pt\hbox{\vrule height0.2pt depth0.2pt width6.pt} \kern0.3pt\kern-9pt\int}} \def\tst{\textstyle} \def\st{\scriptscriptstyle} \let\\=\noindent \def\*{\vskip0.5truecm} \def\?{\vskip0.75truecm} \def\item#1{\vskip0.1truecm\parindent=0pt\par\setbox0=\hbox{#1} \hangindent\ifdim\wd0>0.6cm 0.6cm\else\wd0\fi\hangafter 1 #1 \parindent=\stdindent} \def\sit{\vskip0.1truecm} \def\annota#1#2{{\footnote{${}^#1$}{\ottopunti \ifnum\mgnf=0\baselineskip=9pt\normalbaselineskip=9pt \else\baselineskip=18pt\normalbaselineskip=18pt\fi \parindent=0pt#2}}} \def\annotano#1{\annota{\number\noteno}{#1}\advance\noteno by 1} %%%%%%%%%%%%%%%%%%%%%%%%%%% LATINORUM %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \def\etc{\hbox{\sl etc.}} \def\ap{\hbox{\sl a priori\ }} \def\aps{\hbox{\sl a posteriori\ }} \def\ie{\hbox{\sl i.e.\ }} \def\eg{\hbox{\sl e.g.\ }} \def\qed{\hfill\break\nobreak\vbox{\vglue.25truecm\line{\hfill\raise1pt \hbox{\vrule height9pt width5pt depth0pt}}}\vglue.25truecm} %%%%%%%%%%%%%%%%%%%%%%%%%% DEFINIZIONI LOCALI %%%%%%%%%%%%%%%%%%%%%%%%%% \def\gu{g^{(u.v.)}} \def\gi{g^{(i.r.)}} \def\gint(#1)(#2)(#3){{\cal D}#1^{#2}\,e^{(#1^{#2+},#3#1^{#2-})}} \def\ps#1#2{\psi^{#1}_{#2}} \def\pst#1#2{\tilde\psi^{#1}_{#2}} \def\xx{{\bf x}} \def\yy{{\bf y}} \def\zz{{\bf z}} \def\ww{{\bf w}} \def\ggg{{\bf g}} \def\ff{{\bf f}} \def\ee{{\bf e}} \def\vv{{\bf v}} \def\kk{{\bf k}} \def\pp{{\bf p}} \def\qq{{\bf q}} \def\nn{{\bf n}} \def\jj{{\bf j}} \def\V0{{\bf 0}} \def\rr{{\bf r}} \def\tt{{\bf t}} \def\AA{{\cal A}}\def\BB{{\cal B}}\def\CC{{\cal C}} \def\DD{{\cal E}}\def\EE{{\cal E}}\def\FF{{\cal F}} \def\GG{{\cal G}}\def\HH{{\cal H}}\def\II{{\cal I}} \def\JJ{{\cal J}}\def\KK{{\cal K}}\def\LL{{\cal L}} \def\MM{{\cal M}}\def\NN{{\cal N}}\def\OO{{\cal O}} \def\PP{{\cal P}}\def\QQ{{\cal Q}}\def\RR{{\cal R}} \def\SS{{\cal S}}\def\TT{{\cal T}}\def\UU{{\cal U}} \def\VV{{\cal V}}\def\WW{{\cal W}}\def\ZZ{{\cal Z}} \def\XX{{\cal X}} \def\E#1{{\cal E}_{#1}} \def\ET#1{{\cal E}^T_{#1}} %%%%%%%%%%%%%%%% ISTRUZIONI PER L'INDICE %%%%%%%%%%%%%%%%%%%% % file per l'indice \ifnum\cind=1 \def\prtindex#1{\immediate\write\indiceout{\string\parte{#1}{\the\pageno}}} \def\capindex#1#2{\immediate\write\indiceout{\string\capitolo{#1}{#2}{\the\pageno}}} \def\parindex#1#2{\immediate\write\indiceout{\string\paragrafo{#1}{#2}{\the\pageno}}} \def\subindex#1#2{\immediate\write\indiceout{\string\sparagrafo{#1}{#2}{\the\pageno}}} \def\appindex#1#2{\immediate\write\indiceout{\string\appendice{#1}{#2}{\the\pageno}}} \def\paraindex#1#2{\immediate\write\indiceout{\string\paragrafoapp{#1}{#2}{\the\pageno}}} \def\subaindex#1#2{\immediate\write\indiceout{\string\sparagrafoapp{#1}{#2}{\the\pageno}}} \def\bibindex#1{\immediate\write\indiceout{\string\bibliografia{#1}{Bibliografia}{\the\pageno}}} \def\preindex#1{\immediate\write\indiceout{\string\premessa{#1}{\the\pageno}}} \else \def\prtindex#1{} \def\capindex#1#2{} \def\parindex#1#2{} \def\subindex#1#2{} \def\appindex#1#2{} \def\paraindex#1#2{} \def\subaindex#1#2{} \def\bibindex#1{} \def\preindex#1{} \fi \def\leaderfill{\leaders\hbox to 1em{\hss . \hss} \hfill } %%%%%%%%%%%%%%%%%%%%%%% PARAMETRI DI FORMATO INTERNI %%%%%%%%%%%%%%%%%%% \newdimen\capsalto \capsalto=0pt \newdimen\parsalto \parsalto=20pt \newdimen\sparsalto \sparsalto=30pt \newdimen\tratitoloepagina \tratitoloepagina=2\parsalto % \def\aboveparteskip{\bigskip \bigskip} \def\belowparteskip{\medskip \medskip} \def\abovecapitskip{\bigskip} \def\belowcapitskip{\medskip} \def\belowparskip{\smallskip} % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% DEFINIZIONE DI PARTE %%%%%%%%%%%%%%%%%%%%%%% \def\parte#1#2{ \9{\immediate\write16 {#1 pag.\numeropag{#2} }} \aboveparteskip \noindent {\ftitolo #1} \hfill {\ftitolo \numeropag{#2}}\par \belowparteskip } %%%%%%%%%%%%%%%%%%%%%%%%%% DEFINIZIONE DI PREMESSA %%%%%%%%%%%%%%%%%%%%%%% \def\premessa#1#2{ \9{\immediate\write16 {#1 pag.\numeropag{#2} }} \abovecapitskip \noindent {\it #1} \hfill {\rm \numeropag{#2}}\par \belowcapitskip } %%%%%%%%%%%%%%%%%%%%%%%%%% DEFINIZIONE DI BIBLIOGRAFIA %%%%%%%%%%%%%%%%%%% \def\bibliografia#1#2#3{ \ifnum\stile=1 \9{\immediate\write16 {Bibliografia pag.\numeropag{#3} }} \belowcapitskip \noindent {\bf Bibliografia} \hfill {\bf \numeropag{#3}}\par \else \paragrafo{#1}{References}{#3} \fi } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \newdimen\newstrutboxheight \newstrutboxheight=\baselineskip \advance\newstrutboxheight by -\dp\strutbox % \newdimen\newstrutboxdepth \newstrutboxdepth=\dp\strutbox % \newbox\newstrutbox \setbox\newstrutbox = \hbox{\vrule height \newstrutboxheight width 0pt depth \newstrutboxdepth } \def\newstrut {\relax \ifmmode \copy \newstrutbox \else \unhcopy \newstrutbox \fi} % % fondamentale % \vfuzz=3.5pt % % evita noie con i titoli di una sola riga % \newdimen\indexsize \indexsize=\hsize \advance \indexsize by -\tratitoloepagina \newdimen\dummy \newbox\parnum \newbox\parbody \newbox\parpage % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% DEFINIZIONE DI CAPITOLO %%%%%%%%%%%%%%%%%%%% % \def\mastercap#1#2#3#4#5{ \9{\immediate\write16 {Cap. #3:#4 pag.\numeropag{#5} }} % \abovecapitskip \setbox\parnum=\hbox {\kern#1\newstrut{#2} {\bf Capitolo~\number#3.}~} \dummy=\indexsize \advance\indexsize by -\wd\parnum \setbox\parbody=\vbox { \hsize = \indexsize \noindent \newstrut {\bf #4} \newstrut \hss} \indexsize=\dummy \setbox\parnum=\vbox to \ht\parbody { \box\parnum \vfill } \setbox\parpage = \hbox to \tratitoloepagina { \hss {\bf \numeropag{#5}}} \noindent \box\parnum\box\parbody\box\parpage\par \belowcapitskip } % \def\capitolo#1#2#3{\mastercap{\capsalto}{}{#1}{#2}{#3}} % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% DEFINIZIONE DI APPENDICE %%%%%%%%%%%%%%%%%%% % \def\masterapp#1#2#3#4#5{ \9{\immediate\write16 {App. #3:#4 pag.\numeropag{#5} }} % \abovecapitskip \setbox\parnum=\hbox {\kern#1\newstrut{#2} {\bf Appendice~A\number#3:}~} \dummy=\indexsize \advance\indexsize by -\wd\parnum \setbox\parbody=\vbox { \hsize = \indexsize \noindent \newstrut {\bf #4} \newstrut \hss} \indexsize=\dummy \setbox\parnum=\vbox to \ht\parbody { \box\parnum \vfill } \setbox\parpage = \hbox to \tratitoloepagina { \hss {\bf \numeropag{#5}}} \noindent \box\parnum\box\parbody\box\parpage\par \belowcapitskip } % \def\appendice#1#2#3{\masterapp{\capsalto}{}{#1}{#2}{#3}} % %%%%%%%%%%%%%% DEFINIZIONE DI PARAGRAFO (PER CAPITOLI) %%%%%%%%%%%%%%%%%%%% % \def\masterpar#1#2#3#4#5{ \9{\immediate\write16 {par. #3:#4 pag.\numeropag{#5} }} % \setbox\parnum=\hbox {\kern#1\newstrut{#2}\number#3.~} \dummy=\indexsize \advance\indexsize by -\wd\parnum \setbox\parbody=\vbox { \hsize = \indexsize \noindent \newstrut #4 \newstrut \hss} \indexsize=\dummy \setbox\parnum=\vbox to \ht\parbody { \box\parnum \vfill } \setbox\parpage = \hbox to \tratitoloepagina { \hss \numeropag{#5}} \noindent \box\parnum\box\parbody\box\parpage\par \belowparskip } % \def\paragrafo#1#2#3{\masterpar{\parsalto}{}{#1}{#2}{#3}} \def\sparagrafo#1#2#3{\masterpar{\sparsalto}{}{#1}{#2}{#3}} % %%%%%%%%%%%%%% DEFINIZIONE DI PARAGRAFO (PER APPENDICI) %%%%%%%%%%%%%%%%%%% % \def\masterpara#1#2#3#4#5{ \9{\immediate\write16 {par. #3:#4 pag.\numeropag{#5} }} % \setbox\parnum=\hbox {\kern#1\newstrut{#2}A\number#3.~} \dummy=\indexsize \advance\indexsize by -\wd\parnum \setbox\parbody=\vbox { \hsize = \indexsize \noindent \newstrut #4 \newstrut \hss} \indexsize=\dummy \setbox\parnum=\vbox to \ht\parbody { \box\parnum \vfill } \setbox\parpage = \hbox to \tratitoloepagina { \hss \numeropag{#5}} \noindent \box\parnum\box\parbody\box\parpage\par \belowparskip } % \def\paragrafoapp#1#2#3{\masterpara{\parsalto}{}{#1}{#2}{#3}} \def\sparagrafoapp#1#2#3{\masterpara{\sparsalto}{}{#1}{#2}{#3}} % %%%%%%%%%%%%%%%%%%%%%%%%% NUOVE SUDDUVISIONI %%%%%%%%%%%%%%%%%%%%%%%%%%%%% \ifnum\stile=1 \def\newcap#1{\setcap{#1} \vskip2.truecm\advance\numsec by 1 \\{\ftitolo \numero\numsec. #1} \capindex{\numero\numsec}{#1} \vskip1.truecm\numfor=1\pgn=1\numpar=1\numteo=1\numlem=1 } \def\newapp#1{\setcap{#1} \vskip2.truecm\advance\numsec by 1 \\{\ftitolo A\numero\numsec. #1} \appindex{A\numero\numsec}{#1} \vskip1.truecm\numfor=1\pgn=1\numpar=1\numteo=1\numlem=1 } \def\newpar#1{ \vskip1.truecm \vbox{ \\{\bf \numero\numsec.\numero\numpar. #1} \parindex{\numero\numsec.\numero\numpar}{#1} \*{}} \nobreak \advance\numpar by 1 } \def\newpara#1{ \vskip1.truecm \vbox{ \\{\bf A\numero\numsec.\numero\numpar. #1} \paraindex{\numero\numsec.\numero\numpar}{#1} \*{}} \nobreak \advance\numpar by 1 } \def\newpre#1{ \vskip1.truecm \vbox{ \\{\it #1} \preindex{#1} \*{}} \nobreak } \else \def\newsec#1{\vskip1.truecm \advance\numsec by 1 \vbox{ \\{\bf \numero\numsec. #1} \parindex{\numero\numsec}{#1} \*{}}\numfor=1\pgn=1\numpar=1\numteo=1\numlem=1 \nobreak } \def\newsubsect#1{ \vskip1.truecm \vbox{ \\{\it \numero\numsec.\numero\numpar. #1} \parindex{\numero\numsec.\numero\numpar}{#1} \*{}} \nobreak \advance\numpar by 1 } \def\newapp#1{\vskip1.truecm \advance\numsec by 1 \vbox{ \\{\bf A\numero\numsec. #1} \appindex{A\numero\numsec}{#1} \*{}}\numfor=1\pgn=1\numpar=1\numteo=1\numlem=1 } \def\appendices{\numsec=0\def\Eq(##1){\Eqa(##1)}\def\eq(##1){\eqa(##1)} \def\teq(##1){\teqa(##1)}} \def\biblio{\vskip1.truecm %\advance\numsec by 1 \vbox{ %\\{\bf \numero\numsec. \\{\bf References.}\*{} \bibindex{{}}}\nobreak\makebiblio } \fi %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% GENERAZIONE INDICE %%%%%%%%%%%%%%%%%%%%%%%%%% \newread\indicein \newwrite\indiceout \def\faindice{ \openin\indicein=\jobname.ind \ifeof\indicein\relax\else{ \ifnum\stile=1 \pagenumbersind \pageno=-1 \setind \null \vskip 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\def\raf#1#2#3{\ifnum \bz=0 [#1] \cr\else \llap{${}_{\rm #3}$}[#1]\cr\fi} \newread\bibin \catcode`\{=12\catcode`\}=12 \catcode`\<=1\catcode`\>=2 \def\chiudibib< \catcode`\{=12\catcode`\}=12 \catcode`\<=1\catcode`\>=2 \immediate\write\bib<}> \catcode`\{=1\catcode`\}=2 \catcode`\<=12\catcode`\>=12 > \catcode`\{=1\catcode`\}=2 \catcode`\<=12\catcode`\>=12 \def\makebiblio{ \ifnum\tipobib=0 \advance \maxit by 10pt \else \maxit=1.truecm \fi \chiudibib \immediate \closeout\bib \openin\bibin=\jobname.bib \ifeof\bibin\relax\else \raggedbottom \input \jobname.bib \fi } \openin13=#1.aux \ifeof13 \relax \else \input #1.aux \closein13\fi \openin14=\jobname.aux \ifeof14 \relax \else \input \jobname.aux \closein14 \fi \immediate\openout15=\jobname.aux \def\V#1{\underline{#1}} \def\normalbaselines{\baselineskip=20pt\lineskip=3pt\lineskiplimit=3pt} \def\mapright#1{\smash{\mathop{\longrightarrow}\limits^{#1}}} \def\mapdown#1{\Big\downarrow\rlap{$\vcenter{\hbox{$\scriptstyle#1$}}$}} \def\mapup#1{\Big\uparrow\rlap{$\vcenter{\hbox{$\scriptstyle#1$}}$}} \def\normalbaselines{\baselineskip=20pt\lineskip=3pt\lineskiplimit=3pt} \def\mapright#1{\smash{\mathop{\longrightarrow}\limits^{#1}}} \def\mapdown#1{\Big\downarrow\rlap{$\vcenter{\hbox{$\scriptstyle#1$}}$}} \def\mapup#1{\Big\uparrow\rlap{$\vcenter{\hbox{$\scriptstyle#1$}}$}} \def\bE{{\bf E}} \def\bv{{\bf v}} \def\bq{{\bf q}} \def\bV{{\bf V}} \def\bQ{{\bf Q}} \def\bR{{\bf R}} \def\bTheta{{\Theta}} \def\bJ{{\bf J}} \def\bU{{\bf U}} \def\bj{{\bf j}} \def\bp{{\bf p}} \def\bk{{\bf k}} \def\bn{{\bf n}} %\large\hsize=6.5truein\hoffset=-0.0in %\draft{\#2: Numerical and analytical discussion} \raggedbottom \titolo{Properties of Stationary Nonequilibrium States in the Thermostatted Periodic Lorentz Gas II: The many point particles system} \autore{F. Bonetto}{School of Mathematics, Institute for Advanced Study, Princeton, NJ 08540. Email: {\tt bonetto@ias.edu}} \autore{D. Daems}{Center for Nonlinear Phenomena and Complex Systems, Universit\'e Libre de Bruxelles, 1050 Brussels, Belgium. \hfill\break Email: {\tt ddaems@ulb.ac.be}} \autore{J.L. Lebowitz}{School of Mathematics, Institute for Advanced Study, Princeton, NJ 08540. Email: {\tt Lebowitz@math.rutgers.edu}} \autore{V. Ricci}{Dipartimento di Matematica, Universit\`a ``La Sapienza'', Piazzale Aldo Moro n.5, 00185 Roma, Italy. \hfill\break Email: {\tt Valeria.Ricci@roma1.infn.it} or {\tt ricci@mat.uniroma1.it}} \abstract{We study the stationary nonequilibrium states of $N$ point particles moving under the influence of an electric field ${\bf E}$ among fixed obstacles (discs) in a two dimensional torus. The total kinetic energy of the system is kept constant through a Gaussian thermostat which produces a velocity dependent mean field interaction between the particles. The current and the particle distribution functions are obtained numerically and compared for small $|\bE|$ with analytic solutions of a Boltzmann type equation obtained by treating the collisions with the obstacles as random independent scatterings. The agreement is surprisingly good for both small and large $N$. The latter system in turn agrees with a self consistent one particle evolution expected to hold in the $N\to\infty$ limit.} \parole{Lorentz Gas, Gaussian Thermostat, Electrical Current, Steady state} \prima \newsec{Introduction} In this note we continue our study of the stationary nonequilibrium states (SNS) of current carrying thermostatted systems. In part I \cita{BDL} we described extensive numerical and analytical investigations of the dependence of the current on the electric field for a model single particle system introduced in \cita{MH} and previously studied in \cita{CELS}. Here we study a generalization of that model to $N$ particles introduced in \cita{BGG}. The particles, which have unit mass, move among a fixed periodic array of discs in a two dimensional square $\Lambda$ with periodic boundary conditions, see Fig. 1. They are acted on by an external (electric) field $\bE$ parallel to the $x$-axis and by a ``Gaussian thermostat''. (The discs are located so that there is a finite horizon, \ie there is a maximum distance a particle can move before hitting a disc or obstacle). \eqfig{600pt}{200pt}{ \ins{298pt}{24pt}{${\nota 2L}$} \ins{296pt}{57pt}{${\nota \bv_1}$} \ins{252pt}{94pt}{${\nota \bv_2}$} \ins{335pt}{107pt}{${\nota \bv_3}$} \ins{292pt}{193pt}{${\nota \bE}$} \ins{250pt}{76pt}{${\nota R_2}$} \ins{295pt}{120pt}{${\nota R_1}$} }{x1}{General billiard structure with discs of radius $R_1$ and $R_2$ in a periodic box with side length $2L$, $N=3$ particles are shown.} {fig1} % The equations of motion describing the time evolution of the positions $\bq_i$ and velocities ${\bf v}_i, i=1,...,N$, are: $$\left\{\eqalign{\dot\bq_i=&\bv_i\qquad \bq_i=(q_{i,x},q_{i,y})\in\Lambda'\cr \dot\bv_i=&\bE-\alpha(\bJ,U)\bv_i+F_{obs}(\bq_i)\cr}\right.\Eq(dyn1)$$ % where $$\alpha(\bJ,U)={\bJ\cdot\bE \over U}, \qquad\bJ={1\over N}\sum_{i=1}^N\bv_i, \qquad U={1\over N}\sum_{i=1}^N\bv_i^2\Eq(dyn3)$$ % Here $\Lambda'=\Lambda\backslash{\cal D}$, with ${\cal D}$ the region occupied by the discs (obstacles) and $F_{obs}$ represents the elastic scattering which takes place at the surface of the obstacles. The purpose of the Gaussian thermostat, represented by the term $\alpha(\bJ,U){\bf v}$ in eq.\equ(dyn1), is to maintain the total kinetic energy $1/2\sum_{i=1}^N\bv_i^2$ constant, \ie $U=v_0^2$. It also has the effect of making the flow $\Phi_t$ generated by eq.\equ(dyn1) on the $(4N-1)$ dimensional energy surface non Hamiltonian when ${\bf E}\not=0$. In fact the phase space volume contraction rate is given by $\sigma(X)=-(2N-1)\alpha(\bJ,U)$. Another effect of the thermostat is to effectively couple all the particles in a mean field way, $\alpha({\bf J},U)$, depending only on the total momentum of the particles. Note that this is the only coupling between the particles in this system. %A model in which there are also direct interactions %between the particles is the subject of a separate investigation %\cita{BGLR}. The change of variables, $\bq_i\to\bq_i/L$, $\bv_i\to\bv_i/v_0$, $t\to tv_0/L$ and $\bE\to\bE L/v_0^2$, where $2L$ is the length of the box, leaves eq.\equ(dyn1) unchanged, so that the motion of the system takes place on $\SS_N=(\Lambda')^N\times S_N$, where $S_N=\{\bv_i|\sum_{i=1}^N\bv_i^2=N\}$. We shall denote by $X\in\SS_N$ a point in the phase space of the system. In these units we took $U=1$, $R_1=0.39$, $R_2=0.79$, and $\Lambda$ is thetorus of side 2\annotano{See \cita{BDL} for an explanation of these values.}. Our main interest is in the SNS of this model system. To be more precise let $\mu_0(dX,N)=\rho_0(X;N)dX$ be an initial measure symmetric in the $\{\bq_i,\bv_i\}$ and absolutely continuous with respect to the Liouville volume $dX$ projected on $\SS_N$. The time evolved measure $\mu_t(dX,\bE;N)$ is still absolutely continuous with respect to the Liouville measure with density $\rho_t(X,\bE;N)$ for any fixed time $t$. The SNS is expected to be described by an SRB measure $\mu^+(dX,\bE;N)$, given by the weak limit, as $t\longrightarrow\infty$, of $\mu_t(dX,\bE;N)$, when it exists. This limit measure is in general not absolutely continuous with respect to the Liouville measure, due to the phase space volume contraction \cita{Ru}, \cita{Ru3}. The existence of such a limit was proven, for $N=1$ and $|\bE|\in[0,E_0]$ ($E_0$ small) in \cita{CELS}, but no such result is available for $N\ge 2$, because of the lack of uniform hyperbolicity for the zero field system. On the other hand our computer simulations of the dynamics, for $N$ ranging from 1 to 50 and $E$ from $0.04$ to $1.0$, strongly support the belief that there exists a unique limiting measure $\mu^+(dX,\bE;N)$ up to quite large values of $|\bE|$, say $|\bE|=E \le 1$. %Due to the phase space volume %contraction $\mu^+(dX,\bE;N)$ will be %singular with respect to the Liouville %measure on $\cal S$ \cita{Ru}. We expect however that the projection of $\mu^+(dX,\bE;N)$ on the one particle phase space $\Lambda'\times\Omega_{(N)}$, where $\Omega_{(N)}$ is the ball $|\bv|\le\sqrt{N}$, will yield a one particle density $f^+(\bq,\bv,\bE;N)$ absolutely continuous with respect to $d\bq d\bv$; this is proven, for instance, for coupled Arnold's cat maps \cita{BKL}). To obtain information about $f^+$ we considered first the case of weak fields. It is tempting to think that for $E\longrightarrow 0$ the singular set on which $\mu^+$ is concentrated will be spread out more or less uniformly on $\SS_N$ so that $\mu^+$ will approach weakly the microcanonical measure on the energy surface $\SS_N$: this measure is certainly invariant for the dynamics at $E=0$. If this were the case then $f^+(\bq,\bv,\bE;N)$ would approach, as $E\to 0$, the equilibrium one particle density obtained from the projection of the microcanonical measure: for large $N$ this would be close to the Maxwellian distribution with unit variance \annotano{Note that for large $N$ the Maxwell distribution is typical for points on the energy surface, \ie the set $\BB$ on $\SS_N$ for which $f^+$ is not a Maxwellian has measure 0 (w.r.t. $dX$). Of course since $\mu^{+}$ is singular w.r.t. $dX$ this need not to be the case here.}. We ran computer simulations for values of the field between $0.04$ and $0.12$ and $N=2,5$ and 50. In all cases we found a one particle distribution that is far from the projection of the microcanonical distribution. Furthermore this distribution appeared to have only very slight dependence on $E$ for those values of the field; so it appears that there is a well defined limit of $f^+(\bq,\bv,\bE; N)$ as $E\to 0$, and that this limit is {\it not} the projection of the microcanonical measure: there are correlations between the velocities of the particles induced by the field, beyond those corresponding to the energy constraint, which remain when $E\longrightarrow 0$. This deviation from the microcanonical distribution is reflected also in the behavior of the average current per particle in the steady state, given by $\bj(\bE,N)=\int\bv f^+(\bq,\bv,\bE;N)d\bq d\bv$ as $E\to 0$. We studied $\bj(\bE,N)$ numerically as a function of $\bE$ and $N$, see Fig.\equ(fig2) and Fig.\equ(fig3). In the following we will always assume that the electric field is along the positive $x$-axis, $\bE=E{\bf 1}_x$. This implies that the $y$ component of $\bj(\bE,N)$ is zero for symmetry reason. We will denote the $x$ component of the current by $j(E,N)$ and call $\k(E,N)=j(E,N)/E$ the conductivity. The dependence on $N$ for $E\to 0$ should be given by the Green-Kubo formula for the zero field conductivity when the dynamics of the particles are independent. A straightforward computation then shows that the zero field conductivity of the $N$ particles is: $$\k(0,N)=C_N(0)\k(0,1)\Eq(GK)$$ % with $\k(0,1)$ given by the diffusion constant of Bunimovich and Sinai \cita{BS} and $$C_N(0)=\int {1\over |\bv|}f^+(\bq,\bv,0;N)d\bq d\bv\Eq(gk)$$ % For the microcanonical distribution we easily find: $$C_N(0)=\sqrt{\pi}\left(1-{3\over 8N}+O\left(N^{-2}\right)\right)\Eq(mic)$$ % which is inconsistent with our data although the form of the dependence on $N$ appear to be similar, see sect. 2.1. Let us consider now the behavior of our model system in the limit $N\to\infty$. As the particles interact only through their average velocity $\bJ (X(t))$ it seems reasonable to expect that, for $N\to\infty$, ${\bJ}$ will stop fluctuating, \ie that for ``well behaved'' initial distributions \cita{BH}, \cita{Lan}, \cita{S} $$ \bJ (X(t))\longrightarrow {\bj}_t =\int \bv f_t(\bv,\bE)d\bv \Eq(cur) $$ where $f_t(\bv,\bE)=\lim_{N\longrightarrow\infty} f_t(\bv,\bE;N)$. If this were true in a sufficiently strong sense it would lead to an autonomous Vlasov type equation \cita{BH}, \cita{Lan}, \cita{S} for $f_t$ where $\dot{\bv}$ would be computed self consistently from the (irreversible) dynamics \annotano{The dynamics \equ(dyn1) is reversible in the sense that if $T_t X$ is a solution then $T_t R T_t X=RX$, where $R$ reverses all velocities.} $${\dot \bv} = \bE - \lambda(t)\bv + {\bf F}_{obs}(\bq)\Eq(vi)$$ % with $\lambda(t)=\bE\cdot{\bj}_{t}$. The difficulty with proving this behavior, as compared to the \cita{BH} case, is that trajectory $X(t)$ and thus also $\bJ (X(t))$ is not smooth for finite $t$. The problems are compounded when we consider the $t\longrightarrow\infty$ limit corresponding to the SNS. Based on numerical evidence we nevertheless believe that $$\lim_{N\to\infty} f^+(\bv,\bE;N)=\hat f^+(\bv,\bE)\equiv \lim_{t\to\infty}\hat f_t(\bv,\bE)\Eq(equv)$$ % where $\hat f_t(\bv,\bE)$ is the solution of the Vlasov equation with a force given by the right hand side of \equ(vi), and we define for a given function $g$ $$g(\bv)=\int_{\Lambda'}g(\bq,\bv)d\bq \ .$$ The integration over $\bq$ is necessary, or at least desirable, since we expect the $t\to\infty$ limit of $\hat f_t(\bq,\bv,\bE)$ to be singular with respect to $d\bq d\bv$ as is the $N=1$ reversible system \equ(dyn1). Its projection on the velocity is however expected to be absolutely continuous with respect to $d\bv$ \cita{CELS}\cita{BKL} . Eq\equ(equv) is thus a form of the law of large numbers which should hold for smooth $\rho_0 (X,\bE;N)$. Something like this was in fact proven by Ruelle for the stationary state under some hypotheses on the thermostatted dynamics \cita{Ru2}. To make contact with Ruelle's theorem it is convenient to think of $\Lambda_N$ as a torus of length $2LN$ along the $y$-axis (perpendicular to $\bE$) and length $2L$ along the $x$-axis. This does not change the dynamics. To get some analytical handle on the form of the reduced distributions in the SNS we investigated a model system in which the deterministic collisions with the obstacles are replaced by a stochastic process in which particle velocities get their orientations changed at random times, independent for each particle. This yields a Markov process which replaces the continuity equation for $\rho_t(X,E;N)$ by a linear Boltzmann-like equation, see \cita{VB1}. We can write either of these equations in the symbolic form: $${\partial\over \partial t}\rho_t(\bQ,\bV)+ \sum_i{\partial\over \partial \bq_i}\left\{\bv_i \rho_t(\bQ,\bV)\right\}+ \sum_i{\partial\over \partial \bv_i}\left\{\left[\bE- \alpha(\bV)\bv_i\right] \rho_t(\bQ,\bV)\right\}= \left({\partial \rho_t\over \partial t}\right)_{{\rm coll}}, \Eq(bltz)$$ % where we have set $X = ({\bf Q},{\bf V})$ (and dropped the explicit dependence on $\bf E$ and $N$). The term on the right hand $\left({\partial \rho_t\over\partial t}\right)_{{\rm coll}}$ represents either the effect of deterministic collisions with the obstacles as given by \equ(dyn1) or a collision operator independent of $\bQ$, see \equ(coll). A similar ansatz for the irreversible dynamics \equ(vi) leads to a Boltzmann-Vlasov equation for the one particle distribution. These equations can be solved analytically as a power series in $E$ and/or numerically. This is described in sect. 3. In sect. 4 we compare some of the moments, including the current, of the deterministic distribution $f^{+}(\bv,\bE;N)$ with those of the stochastic one. We find surprisingly good agreement once the mean free path appearing in the Boltzmann-like equations is properly interpreted, see sec. 4.2. We note however that a direct computation of the distribution of free paths in the dynamical system \equ(dyn1) shows that it is far from being exponential, which is the basic assumption of the Markov process. We therefore have no real explanation for the observed good agreement. We only note that some features of the stationary state appear rather robust with respect to the collision processes with the ``obstacles'', yielding similar results for different distributions for the free path. In sect. 5 we discuss some general questions about the relation between this thermostatted model and the Drude model of electrical conduction in metals \cita{DR}. \newsec{Numerical results} Eq. \equ(dyn1) can be solved in terms of quadratures between collisions with the obstacles so the simulation consists mainly in computing the times of successive collisions. At each collision there is an instantaneous change in the velocity of the colliding particle and consequently also in the current $\bJ$ and thus in the thermostatted force acting on each particle. Assuming that the system is ergodic we can obtain information about the SNS from time averages over a single trajectory. In practice we used a few initial states and found a behavior consistent with this assumption. The relative simplicity of the dynamics enabled us to get fairly accurate results even for 50 particles with relatively small computing power. Our simulation were carried out on a Pentium PC. Error bars are computed by doubling the range of the fluctuations of the time average over the interval $[0.9T,T]$ where $T$ is the total number of collisions computed. After the change of variables described after \equ(dyn3) all quantities appearing in the graphs are adimensional. \newsubsect{The current} Let $\bj(\bE,N)$ be the average current in the steady state $\mu^{+}$, $$\bj(\bE,N)=\langle \bJ \rangle_{\mu^+}= \int\bv f^+(\bv,\bE, N)d\bv\ .\Eq(j)$$ % with $\bJ$ defined in \equ(dyn3). As already noted, in all our computations the electric field is along the positive $x$-axis, ${\bf E}=E {\bf 1_x}$, all densities are normalized and $j(E,N)$ is the $x$-component of the current defined in eq.\equ(j). \gnuins fig2 fig2 {Conductivity $\k(E,N)$ as a function of $E$ for different $N$.} In Fig.\equ(fig2) we plot the conductivity $\kappa(E,N)=j(E,N)/E$ as a function of the field for different numbers of particles, $N$=1,2,10,15,20,30 and 50. The averages were computed by running simulations in which the total number of collisions with the obstacles varied from $10^9$ for $N=1$ to $10^8$ for $N=50$. \gnuins fig3 fig3 {$\k(E,N)$ as a function of $N^{-1}$ for different $E$. Also plotted is the conductivity obtained from eq.\equ(GK) using the actual distribution function, see next section, for $E=0.04$ and compared with the value obtained by a direct simulation at the same field. Finally the highest line represents the conductivity obtained from eq.\equ(GK) using a microcanonical hypothesis.} We note that for very small fields the interaction among the particles is very small so that the invariant distribution is reached only after a very long transient time. Furthermore, although the current goes to 0 as $E\to 0$, the fluctuations in the current are almost independent of $E$ so that longer and longer simulations are required in order to distinguish the average from the fluctuations when $E\to 0$. For $N=2,5$ and $10$ we checked whether ${d \k(E,N)\over dE}\to 0$ as $E\to 0$, as required by the symmetry of the problem if $\k(E,N)$ is differentiable at 0. While the results are not definitive they are consistent with such behavior. In Fig. \equ(fig3) we plot the conductivity as a function of $1/N$ for a few selected values of the field. As can be seen there the behavior of $\kappa(E,N)$ can be well fitted for $N>2$ by the following formula which is the analogous of eq. \equ(GK) with $C_N(0)$ given by \equ(mic) for $E \neq 0$: $\kappa(E,N)=\tilde\kappa(E)+c/N$ with $\tilde\kappa(E)=\lim_{N\to\infty} \kappa(E,N)$ and $c$ independent from $E$, at least within the accuracy of our computation. (The value of $\k(E,1)$ is about 15-20\% lower than that given by the formula, depending on $E$). For $E=0.04$ we have the value of the conductivity for $N=2,5$ and 50 as well as the distribution $f^+(\bv,E;N)$. We can therefore check directly eq.\equ(gk) for $E \neq 0$. Fig. \equ(fig3) contains both the values obtained directly and those obtained from eq.\equ(gk) for $E=0.04$. The agreement is clearly very good. Finally plotted in Fig.\equ(fig3) is the value of the conductivity at zero field obtained from eq.\equ(mic), \ie assuming that the invariant distribution is microcanonical. Although this assumption is inconsistent with the actual numerical data, the behavior is qualitatively similar. The smoothness, or rather the lack of smoothness, of the current as a function of $E$ for $N=1$ was extensively discussed in \cita{BDL} and related there to the discontinuities of the collision map. The data we have for $N \ge 2$ are insufficient to address this question. However it is expected that the stationary current will be smoother than it is in the one particle case, since it is averaged over all particles. \newsubsect{Distribution functions} To study the space independent part of the one particle density function, $f^+(\bv,E;N)$, it is convenient to switch to the variables $r=\vert \bv\vert \in [0,\sqrt{N}]$ and $\theta \in [-\pi,\pi]$ the angle between the velocity ${\bf v}$ and the $x$-axis. Expanding $f^{+}(\bv,E,N)$ in a Fourier series in $\theta$, we have $$f^{+}(\bv,E;N)= \sum_{k=0}^{\infty}\psi_k(r,E;N) \cos k\theta \ , \Eq(esp)$$ % where only terms in $\cos k\theta$ appear due to the symmetry of the problem. Note that $2\pi r\psi_0(r,E;N)$ is the stationary probability density for the modulus of $\bv$ while $$j(E,N)=\pi\int_0^{\sqrt{N}}dr\, r^2 \psi_1(r,E;N) \ .\Eq(Kn) $$ % \gnuins fig5 fig5 {Plot of $2\pi r\psi_0(r,E;2)$ for different values of $E$. The straight dashed line is obtained from the microcanonical distribution, Eq.\equ(mc). The dotted line gives the result for the stochastic model} \gnuins fig6 fig6 {Plot of $\pi r\psi_1(r,E;2)/E$ for different values of $E$. The dotted line gives the result for the stochastic model} In Fig. \equ(fig5) we plot {\bf $2\pi r\psi_0(r,E;2)$} for $E=0.04,0.08,0.12$ while Fig. \equ(fig6) is a plot of $\pi r\psi_1(r,E;2)/E$ for the same values of the field. Both appear to be almost independent of $E$ for those values of $E$ so we believe that Figs. \equ(fig5) and \equ(fig6) represent a good approximation for the limiting behavior $E\to 0$. Observe that, due to the symmetry $E\to -E$ we expect the corrections to these functions to be of $O(E^2)$. For comparison we also plotted there the results obtained analytically from the stochastic model discussed in the Introduction and in section 3. In Fig. \equ(fig5) we also plot the `` microcanonical'' density of $|\bv_1|$ obtained from the microcanonical ensemble of 2 particles with $\bv_1^2+\bv_2^2=2$. The microcanonical one particle density $f_{\rm micro}(\bv)$ is of course isotropic and the speed distribution, $2\pi|\bv_1|f_m (|\bv_1|,E=0;2)$, is $$2\pi|\bv_1| f_m(|\bv_1|,E=0;2)={1\over \pi}|\bv_1| \int\delta(\bv_1^2+\bv_2^2-2)d\bv_2= |\bv_1|\ {\cal H}(2 - \bv_1^2) \ ,\Eq(mc)$$ % where ${\cal H}(x)$ is the Heaviside function. This is seen to be very different from what we obtain from our simulations or analytically from the stochastic model for $E\to 0$. We did a similar analysis for $N>2$ and in Figs. \equ(fig7) and \equ(fig8) we present the corresponding results for $N=50$. \gnuins fig7 fig7 {Plot of $2\pi r\psi_0(r,E;50)$ for $E=0.04$. Also shown are the results from simulations of \equ(vi) and from analytic solutions of the corresponding stochastic equation, Eq.\equ(sol2). For comparison we also show the microcanonical result, corresponding to a Maxwellian.} \gnuins fig8 fig8 {Plot of $\pi r\psi_1(r,E;50)/ E$ and comparison with stochastic irreversible dynamics for $E=0.08$} \newsubsect{The $N=\infty$ limit} As discussed in sec. 2.1, $\k(E,N)\to\tilde\k(E)$ as $N\to\i$. We compared the $\tilde\k(E)$ obtained from our simulation, see Fig. \equ(fig3), with that obtained from the irreversible eq.\equ(vi). A way to do this self-consistently would be to choose the parameter $\lambda$ in eq.\equ(vi) such that $$\hat U(E)=\int d\bv |\bv|^2 \hat f^+(\bv,E)=1$$ % and show that for this value of $\lambda$ the conductivity $\hat \k(E)$ for the system described by eq.\equ(vi) is equal to $\tilde \k(E)$. Rather than doing this, we took the $\tilde\k(E)$ deduced from the simulations as in Fig.\equ(fig3) and used it to determine $\lambda$, i.e. we set $\lambda=\tilde \k(E)E^2$ in eq.\equ(vi). We then computed, via simulation of eq.\equ(vi), a new conductivity $\hat \k(E)$. In Fig.\equ(fig_fit) we compare $\hat \k(E)$ and $\tilde\k(E)$. The agreement is very good. We observe that it follows from eq.\equ(vi)that $E^2 \hat\k(E)/\hat U(E)=\lambda$ so that this agreement also confirms the self-consistency discussed above. \gnuins fig_fit fig_fit {Comparison between the limiting value of the conductivity $\tilde \k(E)$ in the reversible model and in the irreversible model $\k_\infty(E)$.} As for the reversible dynamics we can write $$\hat f^+(\bv,E)= \sum_{k=0}^{\infty}\phi_k(r,E) \cos k\theta\Eq(espi)$$ In Figs. \equ(fig7) and \equ(fig8) we compare $2\pi r\psi_0(r,E;50)$ and $\pi r \psi_1(r,E;50)$ with $2\pi r\phi_0(r,E)$ and $\pi r \phi_1(r,E)$ respectively. The agreement is very good. As we did for $N=2$ in Fig. \equ(fig5) and Fig. \equ(fig6) we also plotted in Figs. \equ(fig7) and \equ(fig8) the results obtained analytically from the stochastic model discussed in the Introduction and in section 3. In Fig. \equ(fig7) we also plot the microcanonical density, \ie a Maxwellian with $<\bv_1^2>=1$. \newsec{Thermostatted Stochastic Evolution} We now describe more precisely the stochastic model system in which the collisions between particles and obstacles are replaced by independent random scattering events. The model is specified by writing the right hand side of eq. \equ(bltz), the evolution equation for the $N$-particle phase space density of our system, which we now call $F_t(\bQ,\bV)$, to distinguish it from the mechanical $\rho_t(\bQ,\bV)$, as {\bf $$\left({\partial F(\bQ,\bV,\bE)\over \partial t}\right)_{\rm coll}= l^{-1}\sum_{i=1}^N\int_{(\bn\cdot \bv_i)<0} {(\bv'_i\cdot \bn)\over 2} \left(F(\bQ,\bV_i',\bE)-F(\bQ,\bV,\bE)\right)d\bn\Eq(coll)$$} % In \equ(coll) $\bn$ is a unit vector in the direction of the momentum transfer in a ``collision'', $\vert \bn\vert=1$, $\bv'=\bv-2\bn(\bn\cdot\bv_i)$ and $\bV_i'$ is identical to $\bV_i$ except for its $i$-th component which is replaced by $\bv'_i$. The coefficient $l^{-1}$ multiplying the collision term is the inverse of the mean free path between collisions, a parameter to be specified. Eq. \equ(bltz) together with \equ(coll) describes a Markov process in which particles change the directions of their velocities as if they were undergoing independent random collisions with ``phantom obstacles'' at a rate equal to $l^{-1}|\bv|$ with a uniformly distributed impact parameter \cita{IP}. Between collisions the particles move according to eq.\equ(dyn1). This model can be thought of as, and presumably even proven to be, the Boltzmann-Grad limit of our system: \ie, we place discs of radius $R$ randomly in a square of side $L$ with density $\rho$ and then take $R\to 0$, $\rho\to\i$ such that $l={1\over 2\rho R}$ stays constant, see \cita{B-G}. This system will, like our mechanical system, eq.\equ(dyn1), conserve energy, so setting $\sum\bv_i^2=N$ the evolution takes place on $\SS_N$. By general arguments \cita{GLP}, \cita{GLP2} we expect that this system will, for $E\not=0$ approach, as $t\to\infty$, a unique stationary density $F(\bV,\bE;N)$ which will satisfy the equation $$\sum_{i=1}^{N}{\partial\over \partial \bv_i}\left\{\left[\bE-\bE\cdot\bJ\bv_i\right] F(\bV,\bE;N)\right\}= \left({\partial F(\bV,\bE;N)\over \partial t}\right)_{{\rm coll}} \Eq(blN)$$ For small $E$ we expand $F(\bV,\bE;N)$ as a formal power series in $\bE$: {\bf $$F(\bV,\bE;N)=F(\bR,\Theta)=\sum_{n=0}^{\infty}E^n F^{(n)}(\bR, \bTheta) \Eq(sam)$$} % where we have set $\bv_i=(r_i \cos \theta_i,r_i \sin \theta_i)$ and $\bR =(r_1,\ldots, r_N)$, $\sum_i r_i^2=N$, $\bTheta =(\theta_1, \ldots,\theta_N)$. Observe that in this way we get a singular perturbation problem because $E$ multiplies the highest order derivative in eq.\equ(blN). Moreover $F^{+}(\bV,\bE;N)$ clearly depends only on $E/l$ so that we can, for the time being, set $l=1$. Finally we can write, as in the previous section, $$F^{(n)}(\bR,\bTheta)=\sum_{\bk\in \zzz^N_+} F^{(n)}(\bR,\bk)\prod_{i=1}^N\cos(k_i\theta_i) \Eq(fou1)$$ % where we have again used the symmetries of the problem. Substituting \equ(fou1) into \equ(sam) one gets a hierarchy of equations linking $F^{(n)}(\bR,\bk)$ to $F^{(n-1)}(\bR,\bk^i)$ where $\bk^i=(k_1,\ldots,k_i+1,\ldots,k_N)$. From this, and from the fact that the kernel of the collision operator depends only on $\bR$ we get that $F^{(n)}(\bR,\bk)=0$ if $|\bk|>n$. $F^{(0)}(\bR, 0)$ satisfies the relation: $${\partial\over \partial {r_i}}F^{(0)}(\bR,0)={4\over 3}{r_i} F^{(1)}(\bR,0^i)\Eq(1or)$$ % while for $F^{(1)}(\bR,0^i)$ we get the equation $$\sum_i\left\{\left(-{r_i\over U}-{1\over r_i}\right)F^{(1)}(\bR,0^i)+{\partial\over \partial {r_i}}F^{(1)}(\bR,0^i)\right\}=0 \Eq(2or)$$ % with $U=\sum_i r_i^2$. Equations \equ(1or) and \equ(2or) are easily solved and, together with the fact that $F^{(1)}(\bR,0)\equiv 0$ give us $F(\bR,\Theta)$ to first order in $E$ $$F(\bR, \bTheta)=C\delta(\sum_{i=1}^Nr_i^2-N)\left[{1\over \left(\sum_i r_i^3\right)^{{2N-1\over 3}}}+{3(2N-1)E\over 4} {r_i\cos\theta_i\over \left(\sum_i r_i^3\right)^{{2N+2\over 3}}} +O(E^2)\right]\Eq(sol1)$$ % where C is a normalization constant. It is possible to write out the full hierarchy of equations for $F^{(n)}(\bR,\bk)$ and see that they can be solved iteratively but it is not clear that this is useful. We shall therefore use eq.\equ(sol1) to compare with our numerical data for small values of $E$. To do so we define the one particle distribution $\tilde{f}(\bv,E;N)$ and develop it in a Fourier series exactly as in eq.\equ(esp): $$\tilde f(\bv,E;N)=\int d\bv_2\cdots d\bv_N\tilde F(\bV,E;N)=\sum_{k=0}^\i \tilde \psi_k(r,E;N)cos (k_i\theta_i)\Eq(proj)$$ % Before doing any comparisons we consider the stochastic version of the $f_i(\bv,E)$ obtained from the irreversible dynamics defined by eq.\equ(vi). Putting $\lambda=E^2\nu$, $\nu$ %%% to be set to $\bar{\k}(E)$ when compared with the deterministic model, we get $${\partial\over \partial \bv}\left\{\left[\bE-E^2\nu\bv\right]\tilde f_i(\bv,\bE)\right\}= \left({\partial \tilde f_i(\bv,\bE)\over \partial t}\right)_{{\rm coll}} \Eq(bltz2)$$ % where the collision term is again given by eq.\equ(coll) with $N=1$. Observe that although eq.\equ(bltz2) contains three parameter ($E$, $\nu$ and $l$) it depends only on $El$ and $\nu l^{-1}$. Developing $\tilde f_i(\bv,\bE)$ in a power series in $E$ we obtain in analogy to \equ(sol1) $$\tilde{f}_i(\bv,\bE)= C e^{-\frac{8}{9l}\nu r^3} (1+ 2\nu E r \cos\theta)+O(E^2)\Eq(sol2)$$ % where $C$ is a normalization constant. To compare $\tilde{f}_i (\bv,\bE)$ with the large $N$ limit of $\tilde{f}(\bv,\bE;N)$ given in \equ(proj) and \equ(bltz2) we need to fix the parameter $\nu$ (setting $l=1$). This can be done self-consistently requiring that: $$\int|\bv|^2\tilde f_i(\bv,\bE)d\bv=1\Eq(self)$$ % Solving eq.\equ(self) for $\nu$ and using it to compute $\tilde f_i$ we expect that: $$\lim_{N\to\i}\tilde f(\bv,E;N)=\tilde f_{i}(\bv,E)\Eq(equi)$$ % While we have not proven this equivalence we believe that it should follow from general considerations: it would follow formally from showing that, in the limit $N\to\i$, $\tilde{F}(\bv,\bE;N)$ factorizes, as is usually the case for systems with mean field type interactions. This is certainly consistent with our numerical results. \newsec{Comparison between the deterministic and stochastic time evolution} \newsubsect{The distribution of the modulus of $\bv$} For $N=1$ the exact solution, for $E=0$, of both the stochastic and mechanical models is $f(\bv,0;1)=\delta(\bv^2-1)$. For $N=2$, we are able to compute the one particle distribution from eq.\equ(sol1). This yields $$r\tilde\psi_0(r,E;2)={Cr\over r^3+(2-r^2)^{3/2}}+O(E^2)\Eq(dist2)$$ % where $C$ is a normalization constant. This is plotted in {\bf F}ig. \equ(fig5) and one can easily see that the agreement with the numerical solution of the deterministic model is very good. A similar agreement is obtained for $N=5$ although, as already said we were not able to integrate eq.\equ(proj) for $N>2$ so that we computed this integral numerically by simulating the process associated to eq.\equ(bltz) with collision term given by eq.\equ(coll). Finally for $N=50$ we see in Fig. \equ(fig7) that our deterministic \equ(dyn1), stochastic \equ(bltz2) and irreversible \equ(vi) models give indistinguishable results. This certainly suggests the validity of \equ(vi) and \equ(equi) for large $N$. \newsubsect{The first Fourier component of the distribution of $\bv$} The analysis of the first Fourier component of the distribution of $\bv$ is less straightforward because we must fit the parameter $l$ appearing in eq.\equ(coll). In the stochastic system $l$ represent the mean free flight of a particle. The concept of mean free flight is not uniquely defined for the mechanical model. For this reason we used $l$ as a fitting parameter for matching $\tilde{\psi}_1(r,E;N)$ with $\psi_1(r,E;N)$. We will go back to the mechanical meaning of this parameter in the following section. The case $N=2$ is reported in Fig.\equ(fig6) where, for the periodic case, we used a field $E=0.04$ and for the stochastic one we have the expression $$r\tilde\psi_1(r,E;2)= {1\over 2}{9El\over 4}{Cr^2\over \left(r^3+(2-r^2)^{3/2}\right)^2}+O(E^3) \Eq(dist3)$$ % with $C$ the same costant appearing in eq.\equ(dist2) The agreement is again very good and we obtain from the fit $l=0.46$ (in the unit discussed in the introduction). As in the previous case we did the same comparison for 5 particles, obtaining again a very good agreement. Moreover also in this case the value of $l$ is very close to that obtained for $N=2$. Finally it is interesting to check if this agreement remains when $N\to\infty$, \ie for the stochastic irreversible equation \equ(bltz2). As can be seen from Fig.\equ(fig8) the agreement is again very good and we still get the same value for the parameter $l\simeq 0.46$. We were also able to compute $\psi_k(r,E;2)$ and $\phi_k(r,E)$ for $k=2$ and $3$. It is also easy to compute the lowest order contribution to $\tilde\psi_k(r,E;2)$ and $\tilde\phi_k(r,E)$, extending the computation from section 3. It is thus possible to compare, at least in this limited situation, the results. Contrary to what we found for $k=0$ and 1, $\psi_2(r,E;2)$ is quite different from $\tilde\psi_2(r,E;2)$. Analogously $\phi_2(r,E)$ and $\tilde\phi_2(r,E)$ differ significantly. A comparison of the term with $k=3$ also shows deviations between the mechanical and the stochastic models although, surprisingly, much smaller than those found for $k=2$. We note however that for this comparison we only have data for $E=0.012$. \newsubsect{The mean free flight.} In kinetic theory one can define the mean free flight in two ways. Denoting by $\ell_i(X)$ the distance travelled by particle $i$ before its first collision with an obstacle starting form the point $X\in\SS_N$, $l_0$ is the average of $\ell_i(X)$ with respect to the SRB distribution $\mu^+(dX,\bE;N)$ (it clearly does not depend on $i$). On the other hand we can consider the set $\SS^i_N$ of points such that particle $i$ is undergoing a collision, \ie $\bq_i$ is on the boundary of one of the scatterers, then $l_1$ is the average of $\ell_i(X)$ on $\SS^i_N$ with respect to the projection of the SRB distribution $\mu^+(dX,\bE;N)$. Observe that for the stochastic model these two quantities are identical. We computed both $l_0$ and $l_1$ for the mechanical system with $N=2,5,50$ and for the irreversible dynamics eq.\equ(vi) with $E=0.04$. This was done by running a very long trajectory and taking the average of the distance travelled by a particle between two collisions to compute $l_1$ or numerically integrating $\ell_i(X)$ along the trajectory to compute $l_0$. The results appears to be independent of $N$, at least within the accuracy of our computations, and are: $$\eqalign{l_0&=0.46\cr l_1&=0.58}$$ The value of $l_0$ agrees very well with the value obtained from the fit of $l$ reported in the previous section. This implies that the correct way to compare the stochastic and the mechanical model is to use $l_0$ as the mean free flight parameter in eq.\equ(coll). This is consistent with the Green-Kubo formula eq.\equ(GK). We saw in sect. 2.1 that eq.\equ(GK) is well verified for the conductivity at small field of the deterministic model. In the case of the stochastic model eq.\equ(GK) reduces to an integral relation between $F^{(0)}(\bR,0)$ and $F^{(0)}(\bR,0^i)$, see eq.\equ(1or)\equ(2or) in sect. 3. We did not prove this identity although numerical analysis for small $N$ seems to verify it. Finally the agreement between $\psi_0(r,0;N)$ and $\tilde\psi_0(r,0;N)$ observed in sect.4.1 tells us that the ratio between the conductivity for the deterministic and stochastic dynamics is independent of $N$ at least for $E\to 0$. From eq.\equ(sol1) we know that the conductivity for the stochastic model with one particle and $E=0$ is $3l/4$ so that also for the deterministic model we have $$\k(0,1)={3\over 4}l_0\Eq(agr)$$ % This relation is also very well verified by our computation for the 1 particle system. To better compare the deterministic and stochastic models we also computed the distribution $P(\ell,\bE;N)$ of $\ell_i(X)$ with respect to the SRB distribution. This distribution for 5 particles and $E=0.04$ is shown in Fig.\equ(fig13) together with an exponential law with the same average, \ie the distribution one would obtain running the same simulation for the stochastic case. We did similar computation for $E=0.04$ and $N=2,10$ and $50$. The results are again independent from $N$. \gnuins fig13 fig13 {Free path distribution $P(l,0.04;5)$ compared with an exponential distribution with the same average} \newsec{Conclusions} To put our study here in a physical context we note that a system of noninteracting electrons moving under the influence of an external electric field while undergoing elastic scatterings is often used as a crude model of electrical conduction in metals (the Drude model) \cita{AM},\cita{K},\cita{DR}. To obtain the conductivity the velocity distribution function of the electrons is then computed from a Boltzmann type equation like eq.\equ(blN): with $N=1$ and {\it without} the thermostatting $\bE\cdot\bJ$ term. By doing this calculation only to linear order in $E$ one avoids the problem that, without the thermostat eq.\equ(blN) does not have a solution since the system will never be in a true steady state \cita{PW}. A crucial ingredient in the calculation is the explicit assumption that for $E=0$ the distribution is one corresponding to equilibrium at a given specified temperature $T$, \ie Maxwellian for a classical system. This description of the system of independent electrons interacting with the lattice of ions only via elastic collision is clearly not realistic. It is just used for obtaining a simple quick answer for the zero (small) field conductivity. For a more complete description of the steady state in a conductor one has to consider the system to be in contact with some {\it reservoir} which will absorb the heat generated by the current. It is this interaction with some external reservoir that was replaced, in the model considered here, by an artificial thermostat. To our surprise however we found that this modeling does not lead to a Maxwellian distribution when $E\to 0$ even when $N$ is very large. This means that there is no {\it equivalence of ensembles} when it comes to modeling how the energy is extracted from the system- at least when there is no direct interactions between the particles other than that induced by the thermostat. We expect (and have some indication \cita{Ga}) that this will change when we include collisions between the particles. Still it raises some caution about ``thermostats'' as a model for the description of stationary nonequilibrium states. \medskip \0{\bf Acknowledgment.} We are indebted to G. Gallavotti, P.L. Garrido, S. Goldstein, A. Rohlenko, D. Ruelle and particularly H. van Beijeren for many helpful discussions and suggestions. Much of the research was carried out at Rutgers University where it was supported in part by NSF Grant DMR-9813268, and Air Force Grant F49620-98-1-0207. D. D. is Charg\'e de recherches at the FNRS. V. R. was supported by the Foundation BLANCEFLOR Boncompagni-Ludovisi n\'ee Bildt. \rife{AM}{AM}{N.W. Ashcroft, N.D. 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(1997) in print (Jan. 30).} \biblio \fine{} \end ---------------0202190806514 Content-Type: application/postscript; name="fig13.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="fig13.ps" %!PS-Adobe-2.0 EPSF-2.0 %%Title: fig13.ps %%Creator: gnuplot 3.7 patchlevel 0 %%CreationDate: Fri Feb 1 13:55:07 2002 %%DocumentFonts: (atend) %%BoundingBox: 50 50 482 352 %%Orientation: Portrait %%EndComments /gnudict 256 dict def gnudict begin /Color false def /Solid false def /gnulinewidth 5.000 def /userlinewidth gnulinewidth def /vshift -46 def /dl {10 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop Solid {pop []} if 0 setdash} ifelse } def /BL { stroke gnulinewidth 2 mul setlinewidth } def /AL { stroke gnulinewidth 2 div setlinewidth } def /UL { gnulinewidth mul /userlinewidth exch def } def /PL { stroke userlinewidth setlinewidth } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 dl 2 dl] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke 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5668 Pls 648 5668 Pls 669 5669 Pls 690 5667 Pls 712 5668 Pls 733 5671 Pls 754 5668 Pls 775 5668 Pls 796 5669 Pls 817 5668 Pls 838 5668 Pls 859 5668 Pls 880 5667 Pls 901 5671 Pls 923 5668 Pls 944 5668 Pls 965 5669 Pls 986 5667 Pls 1007 5558 Pls 1028 5415 Pls 1049 5282 Pls 1070 5157 Pls 1091 5035 Pls 1112 4926 Pls 1134 4818 Pls 1155 4715 Pls 1176 4628 Pls 1197 4532 Pls 1218 4447 Pls 1239 4369 Pls 1260 4289 Pls 1281 4218 Pls 1302 4147 Pls 1323 4081 Pls 1344 4018 Pls 1366 3958 Pls 1387 3900 Pls 1408 3847 Pls 1429 3793 Pls 1450 3743 Pls 1471 3699 Pls 1492 3618 Pls 1513 3513 Pls 1534 3414 Pls 1555 3313 Pls 1577 3221 Pls 1598 3132 Pls 1619 3044 Pls 1640 2959 Pls 1661 2883 Pls 1682 2805 Pls 1703 2732 Pls 1724 2661 Pls 1745 2593 Pls 1766 2529 Pls 1788 2464 Pls 1809 2405 Pls 1830 2345 Pls 1851 2289 Pls 1872 2236 Pls 1893 2180 Pls 1914 2131 Pls 1935 2082 Pls 1956 2034 Pls 1977 1988 Pls 1999 1946 Pls 2020 1902 Pls 2041 1860 Pls 2062 1823 Pls 2083 1783 Pls 2104 1747 Pls 2125 1712 Pls 2146 1676 Pls 2167 1643 Pls 2188 1612 Pls 2210 1581 Pls 2231 1550 Pls 2252 1523 Pls 2273 1493 Pls 2294 1467 Pls 2315 1441 Pls 2336 1417 Pls 2357 1392 Pls 2378 1368 Pls 2399 1346 Pls 2421 1324 Pls 2442 1303 Pls 2463 1283 Pls 2484 1262 Pls 2505 1244 Pls 2526 1226 Pls 2547 1208 Pls 2568 1192 Pls 2589 1175 Pls 2610 1160 Pls 2632 1146 Pls 2653 1132 Pls 2674 1119 Pls 2695 1104 Pls 2716 1093 Pls 2737 1081 Pls 2758 1068 Pls 2779 1059 Pls 2800 1048 Pls 2821 1038 Pls 2843 1029 Pls 2864 1022 Pls 2885 1015 Pls 2906 1008 Pls 2927 1004 Pls 2948 999 Pls 2969 994 Pls 2990 991 Pls 3011 986 Pls 3032 983 Pls 3053 981 Pls 3075 976 Pls 3096 974 Pls 3117 973 Pls 3138 970 Pls 3159 968 Pls 3180 967 Pls 3201 965 Pls 3222 963 Pls 3243 963 Pls 3264 962 Pls 3286 960 Pls 3307 959 Pls 3328 959 Pls 3349 958 Pls 3370 958 Pls 3391 957 Pls 3412 956 Pls 3433 956 Pls 3454 955 Pls 3475 956 Pls 3497 956 Pls 3518 955 Pls 3539 955 Pls 3560 954 Pls 3581 955 Pls 3602 945 Pls 3623 927 Pls 3644 909 Pls 3665 892 Pls 3686 875 Pls 3708 857 Pls 3729 842 Pls 3750 826 Pls 3771 811 Pls 3792 796 Pls 3813 781 Pls 3834 767 Pls 3855 755 Pls 3876 745 Pls 3897 735 Pls 3919 726 Pls 3940 719 Pls 3961 712 Pls 3982 706 Pls 4003 699 Pls 4024 693 Pls 4045 689 Pls 4066 683 Pls 4087 678 Pls 4108 674 Pls 4130 670 Pls 4151 666 Pls 4172 662 Pls 4193 659 Pls 4214 657 Pls 4235 652 Pls 4256 650 Pls 4277 646 Pls 4298 640 Pls 4319 636 Pls 4341 629 Pls 4362 624 Pls 4383 618 Pls 4404 611 Pls 4425 605 Pls 4446 599 Pls 4467 592 Pls 4488 586 Pls 4509 580 Pls 4530 573 Pls 4551 568 Pls 4573 561 Pls 4594 555 Pls 4615 550 Pls 4636 543 Pls 4657 538 Pls 4678 531 Pls 4699 526 Pls 4720 520 Pls 4741 514 Pls 4762 509 Pls 4784 503 Pls 4805 497 Pls 4826 493 Pls 4847 487 Pls 4868 482 Pls 4889 477 Pls 4910 471 Pls 4931 467 Pls 4952 462 Pls 4973 457 Pls 4995 452 Pls 5016 447 Pls 5037 443 Pls 5058 439 Pls 5079 434 Pls 5100 431 Pls 5121 427 Pls 5142 424 Pls 5163 421 Pls 5184 418 Pls 5206 416 Pls 5227 413 Pls 5248 412 Pls 5269 410 Pls 5290 408 Pls 5311 406 Pls 5332 405 Pls 5353 404 Pls 5374 402 Pls 5395 401 Pls 5417 400 Pls 5438 399 Pls 5459 398 Pls 5480 398 Pls 5501 397 Pls 5522 397 Pls 5543 396 Pls 5564 395 Pls 5585 395 Pls 5606 394 Pls 5628 394 Pls 5649 394 Pls 5670 394 Pls 5691 394 Pls 5712 393 Pls 5733 393 Pls 5754 392 Pls 5775 389 Pls 5796 385 Pls 5817 380 Pls 5839 376 Pls 5860 373 Pls 5881 370 Pls 5902 366 Pls 5923 363 Pls 5944 360 Pls 5965 357 Pls 5986 355 Pls 6007 352 Pls 6028 350 Pls 6049 348 Pls 6071 345 Pls 6092 344 Pls 6113 342 Pls 6134 339 Pls 6155 338 Pls 6176 336 Pls 6197 335 Pls 6218 333 Pls 6239 332 Pls 6260 330 Pls 6282 329 Pls 6303 328 Pls 6324 327 Pls 6345 326 Pls 6366 325 Pls 6387 324 Pls 6408 323 Pls 6429 323 Pls 6450 322 Pls 6471 322 Pls 6493 321 Pls 6514 321 Pls 6535 321 Pls 6556 320 Pls 6577 320 Pls 6598 320 Pls 6619 320 Pls 6640 320 Pls 6661 320 Pls 6682 320 Pls 6704 320 Pls 6725 320 Pls 6746 320 Pls 6767 320 Pls 6788 320 Pls 6809 320 Pls 6830 320 Pls 6851 320 Pls 6872 320 Pls 6893 320 Pls 6915 320 Pls 6936 320 Pls 6957 320 Pls 6978 320 Pls 6999 320 Pls 7020 320 Pls 7041 320 Pls 7062 320 Pls 7083 320 Pls 7104 320 Pls 7126 320 Pls 7147 320 Pls 7168 320 Pls 7189 320 Pls 7210 320 Pls 7231 320 Pls 7252 320 Pls 7273 320 Pls 7294 320 Pls 7315 320 Pls 7337 320 Pls 7358 320 Pls 7379 320 Pls 7400 320 Pls 7421 320 Pls 7442 320 Pls 7463 320 Pls 7484 320 Pls 7505 320 Pls 7526 320 Pls 7548 320 Pls 7569 320 Pls 7590 320 Pls 7611 320 Pls 7632 320 Pls 7653 320 Pls 7674 320 Pls 7695 320 Pls 7716 320 Pls 7737 320 Pls 7758 320 Pls 7780 320 Pls 7801 320 Pls 7822 320 Pls 7843 320 Pls 7864 320 Pls 7885 320 Pls 7906 320 Pls 7927 320 Pls 7948 320 Pls 7969 320 Pls 7991 320 Pls 8012 310 Pls 8033 300 Pls 8054 295 Pls 8075 291 Pls 8096 289 Pls 8117 286 Pls 8138 285 Pls 8159 284 Pls 8180 282 Pls 8202 282 Pls 8223 281 Pls 8244 281 Pls 8265 280 Pls 8286 280 Pls 8307 280 Pls 8328 280 Pls 8349 280 Pls 8370 280 Pls 8391 280 Pls 8034 5747 Pls 1.000 UL LT1 7751 5607 M (exponential law) Rshow 7835 5607 M 399 0 V 490 5571 M 80 -266 V 80 -252 V 80 -240 V 80 -228 V 80 -216 V 80 -205 V 79 -195 V 80 -186 V 80 -176 V 80 -167 V 80 -158 V 80 -151 V 80 -143 V 80 -136 V 80 -130 V 80 -122 V 80 -117 V 80 -110 V 79 -106 V 80 -99 V 80 -95 V 80 -90 V 80 -86 V 80 -81 V 80 -77 V 80 -73 V 80 -70 V 80 -66 V 80 -63 V 80 -60 V 79 -56 V 80 -54 V 80 -51 V 80 -49 V 80 -46 V 80 -43 V 80 -42 V 80 -39 V 80 -38 V 80 -36 V 80 -33 V 80 -33 V 80 -30 V 79 -29 V 80 -28 V 80 -26 V 80 -25 V 80 -23 V 80 -23 V 80 -21 V 80 -20 V 80 -19 V 80 -18 V 80 -18 V 80 -16 V 79 -16 V 80 -15 V 80 -14 V 80 -13 V 80 -13 V 80 -12 V 80 -11 V 80 -11 V 80 -11 V 80 -9 V 80 -10 V 80 -9 V 80 -8 V 79 -8 V 80 -8 V 80 -7 V 80 -7 V 80 -6 V 80 -6 V 80 -6 V 80 -6 V 80 -5 V 80 -5 V 80 -5 V 80 -4 V 79 -5 V 80 -4 V 80 -4 V 80 -3 V 80 -4 V 80 -3 V 80 -3 V 80 -3 V 80 -3 V 80 -3 V 80 -2 V 80 -3 V 79 -2 V 80 -2 V 80 -2 V 80 -2 V 80 -2 V 80 -2 V 80 -2 V stroke (Helvetica) findfont 180 scalefont setfont 4500 -150 M (l) show 0 3000 translate 90 rotate 0 0 moveto (Helvetica) findfont 180 scalefont setfont (P(l,0.04;5)) show stroke grestore end showpage %%Trailer %%DocumentFonts: Times-Roman ---------------0202190806514 Content-Type: application/postscript; name="fig2.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="fig2.ps" %!PS-Adobe-2.0 EPSF-2.0 %%Title: fug2.ps %%Creator: gnuplot 3.7 patchlevel 0.2 %%CreationDate: Thu Aug 16 22:42:41 2001 %%DocumentFonts: (atend) %%BoundingBox: 50 50 482 352 %%Orientation: Portrait %%EndComments /gnudict 256 dict def gnudict begin /Color false def /Solid false def /gnulinewidth 5.000 def /userlinewidth gnulinewidth def /vshift -60 def /dl {10 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth } def /AL { stroke userlinewidth 2 div setlinewidth } def /UL { dup gnulinewidth mul /userlinewidth exch def 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray fill grestore } def end %%EndProlog gnudict begin gsave %50 50 translate 0.0450 0.0450 scale 0 setgray newpath (Times-Roman) findfont 180 scalefont setfont 1.000 UL LTb 738 900 M 63 0 V 7749 0 R -63 0 V 630 900 M (0.14) Rshow 738 1580 M 63 0 V 7749 0 R -63 0 V -7857 0 R (0.16) Rshow 738 2261 M 63 0 V 7749 0 R -63 0 V -7857 0 R (0.18) Rshow 738 2941 M 63 0 V 7749 0 R -63 0 V -7857 0 R (0.2) Rshow 738 3621 M 63 0 V 7749 0 R -63 0 V -7857 0 R (0.22) Rshow 738 4301 M 63 0 V 7749 0 R -63 0 V -7857 0 R (0.24) Rshow 738 4982 M 63 0 V 7749 0 R -63 0 V -7857 0 R (0.26) Rshow 738 5662 M 63 0 V 7749 0 R -63 0 V -7857 0 R (0.28) Rshow 738 900 M 0 63 V 0 4869 R 0 -63 V 738 720 M (0) Cshow 1519 900 M 0 63 V 0 4869 R 0 -63 V 0 -5049 R (0.1) Cshow 2300 900 M 0 63 V 0 4869 R 0 -63 V 0 -5049 R (0.2) Cshow 3082 900 M 0 63 V 0 4869 R 0 -63 V 0 -5049 R (0.3) Cshow 3863 900 M 0 63 V 0 4869 R 0 -63 V 0 -5049 R (0.4) Cshow 4644 900 M 0 63 V 0 4869 R 0 -63 V 0 -5049 R (0.5) Cshow 5425 900 M 0 63 V 0 4869 R 0 -63 V 0 -5049 R (0.6) Cshow 6206 900 M 0 63 V 0 4869 R 0 -63 V 0 -5049 R (0.7) Cshow 6988 900 M 0 63 V 0 4869 R 0 -63 V 0 -5049 R (0.8) Cshow 7769 900 M 0 63 V 0 4869 R 0 -63 V 0 -5049 R (0.9) Cshow 8550 900 M 0 63 V 0 4869 R 0 -63 V 0 -5049 R (1) Cshow 1.000 UL LTb 738 900 M 7812 0 V 0 4932 V -7812 0 V 738 900 L 1.000 UP 1.000 UL LT0 0 -150 translate 1316 270 M (1 particle) Rshow 1424 270 M 495 0 V -495 31 R 0 -62 V 495 62 R 0 -62 V 0 150 translate 1519 2159 M 0 -119 V -31 119 R 62 0 V -62 -119 R 62 0 V 750 229 R 0 -61 V -31 61 R 62 0 V -62 -61 R 62 0 V 751 98 R 0 -41 V -31 41 R 62 0 V -62 -41 R 62 0 V 750 -73 R 0 -30 V -31 30 R 62 0 V -62 -30 R 62 0 V 750 -39 R 0 -23 V -31 23 R 62 0 V -62 -23 R 62 0 V 750 -111 R 0 -19 V -31 19 R 62 0 V -62 -19 R 62 0 V 750 -149 R 0 -16 V -31 16 R 62 0 V -62 -16 R 62 0 V 751 -131 R 0 -14 V -31 14 R 62 0 V -62 -14 R 62 0 V 750 -249 R 0 -12 V -31 12 R 62 0 V -62 -12 R 62 0 V 750 -231 R 0 -10 V -31 10 R 62 0 V -62 -10 R 62 0 V 1519 2099 Pls 2300 2239 Pls 3082 2286 Pls 3863 2177 Pls 4644 2112 Pls 5425 1979 Pls 6206 1813 Pls 6988 1667 Pls 7769 1405 Pls 8550 1163 Pls 0 -150 translate 1671 270 Pls 1.000 UP 1.000 UL LT1 1316 90 M (2 particles) Rshow 1424 90 M 495 0 V -495 31 R 0 -62 V 495 62 R 0 -62 V 0 150 translate 1050 4011 M 0 -51 V -31 51 R 62 0 V -62 -51 R 62 0 V 282 101 R 0 -11 V -31 11 R 62 0 V -62 -11 R 62 0 V 281 117 R 0 -14 V -31 14 R 62 0 V -62 -14 R 62 0 V 594 169 R 0 -73 V -31 73 R 62 0 V -62 -73 R 62 0 V 751 94 R 0 -26 V -31 26 R 62 0 V -62 -26 R 62 0 V 750 -75 R 0 -21 V -31 21 R 62 0 V -62 -21 R 62 0 V 750 -175 R 0 -14 V -31 14 R 62 0 V -62 -14 R 62 0 V 750 -192 R 0 -24 V -31 24 R 62 0 V -62 -24 R 62 0 V 750 -157 R 0 -25 V -31 25 R 62 0 V -62 -25 R 62 0 V 751 -132 R 0 -13 V -31 13 R 62 0 V -62 -13 R 62 0 V 750 -165 R 0 -10 V -31 10 R 62 0 V -62 -10 R 62 0 V 750 -116 R 0 -11 V -31 11 R 62 0 V -62 -11 R 62 0 V 1050 3985 Crs 1363 4056 Crs 1675 4160 Crs 2300 4286 Crs 3082 4330 Crs 3863 4232 Crs 4644 4039 Crs 5425 3828 Crs 6206 3646 Crs 6988 3496 Crs 7769 3319 Crs 8550 3192 Crs 0 -150 translate 1671 90 Crs 1.000 UP 1.000 UL LT2 3368 270 M (5 particles) Rshow 3476 270 M 495 0 V -495 31 R 0 -62 V 495 62 R 0 -62 V 0 150 translate 1050 4973 M 0 -46 V -31 46 R 62 0 V -62 -46 R 62 0 V 282 115 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 281 89 R 0 -22 V -31 22 R 62 0 V -62 -22 R 62 0 V 282 66 R 0 -21 V -31 21 R 62 0 V -62 -21 R 62 0 V 281 58 R 0 -11 V -31 11 R 62 0 V -62 -11 R 62 0 V 751 26 R 0 -61 V -31 61 R 62 0 V -62 -61 R 62 0 V 750 -48 R 0 -35 V -31 35 R 62 0 V -62 -35 R 62 0 V 750 -115 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 750 -162 R 0 -23 V -31 23 R 62 0 V -62 -23 R 62 0 V 750 -194 R 0 -12 V -31 12 R 62 0 V -62 -12 R 62 0 V 751 -166 R 0 -13 V -31 13 R 62 0 V -62 -13 R 62 0 V 750 -139 R 0 -13 V -31 13 R 62 0 V -62 -13 R 62 0 V 750 -104 R 0 -10 V -31 10 R 62 0 V -62 -10 R 62 0 V 1050 4950 Star 1363 5025 Star 1675 5087 Star 1988 5132 Star 2300 5173 Star 3082 5164 Star 3863 5068 Star 4644 4918 Star 5425 4728 Star 6206 4517 Star 6988 4338 Star 7769 4187 Star 8550 4071 Star 0 -150 translate 3723 270 Star 1.000 UP 1.000 UL LT3 3368 90 M (10 particles) Rshow 3476 90 M 495 0 V -495 31 R 0 -62 V 495 62 R 0 -62 V 0 150 translate 1050 5221 M 0 -43 V -31 43 R 62 0 V -62 -43 R 62 0 V 282 92 R 0 -45 V -31 45 R 62 0 V -62 -45 R 62 0 V 281 136 R 0 -28 V -31 28 R 62 0 V -62 -28 R 62 0 V 282 88 R 0 -21 V -31 21 R 62 0 V -62 -21 R 62 0 V 281 41 R 0 -10 V -31 10 R 62 0 V -62 -10 R 62 0 V 751 13 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 750 -43 R 0 -31 V -31 31 R 62 0 V -62 -31 R 62 0 V 750 -168 R 0 -14 V -31 14 R 62 0 V -62 -14 R 62 0 V 750 -163 R 0 -37 V -31 37 R 62 0 V -62 -37 R 62 0 V 750 -154 R 0 -13 V -31 13 R 62 0 V -62 -13 R 62 0 V 751 -158 R 0 -12 V -31 12 R 62 0 V -62 -12 R 62 0 V 750 -142 R 0 -19 V -31 19 R 62 0 V -62 -19 R 62 0 V 750 -100 R 0 -7 V -31 7 R 62 0 V -62 -7 R 62 0 V 1050 5199 Box 1363 5247 Box 1675 5347 Box 1988 5410 Box 2300 5436 Box 3082 5427 Box 3863 5351 Box 4644 5161 Box 5425 4973 Box 6206 4794 Box 6988 4623 Box 7769 4466 Box 8550 4353 Box 0 -150 translate 3723 90 Box 1.000 UP 1.000 UL LT4 5420 270 M (15 particles) Rshow 5528 270 M 495 0 V -495 31 R 0 -62 V 495 62 R 0 -62 V 0 150 translate 1519 5383 M 0 -73 V -31 73 R 62 0 V -62 -73 R 62 0 V 750 187 R 0 14 V -31 -14 R 62 0 V -62 14 R 62 0 V 751 13 R 0 -48 V -31 48 R 62 0 V -62 -48 R 62 0 V 750 -39 R 0 -53 V -31 53 R 62 0 V -62 -53 R 62 0 V 750 -132 R 0 -32 V -31 32 R 62 0 V -62 -32 R 62 0 V 750 -139 R 0 -24 V -31 24 R 62 0 V -62 -24 R 62 0 V 750 -188 R 0 -17 V -31 17 R 62 0 V -62 -17 R 62 0 V 751 -133 R 0 -13 V -31 13 R 62 0 V -62 -13 R 62 0 V 750 -140 R 0 -16 V -31 16 R 62 0 V -62 -16 R 62 0 V 750 -70 R 0 -15 V -31 15 R 62 0 V -62 -15 R 62 0 V 1519 5346 BoxF 2300 5504 BoxF 3082 5500 BoxF 3863 5411 BoxF 4644 5236 BoxF 5425 5069 BoxF 6206 4860 BoxF 6988 4712 BoxF 7769 4558 BoxF 8550 4473 BoxF 0 -150 translate 5775 270 BoxF 1.000 UP 1.000 UL LT5 5420 90 M (20 particles) Rshow 5528 90 M 495 0 V -495 31 R 0 -62 V 495 62 R 0 -62 V 0 150 translate 1519 5518 M 0 -154 V -31 154 R 62 0 V -62 -154 R 62 0 V 750 244 R 0 -61 V -31 61 R 62 0 V -62 -61 R 62 0 V 751 -1 R 0 -51 V -31 51 R 62 0 V -62 -51 R 62 0 V 750 -67 R 0 -31 V -31 31 R 62 0 V -62 -31 R 62 0 V 750 -118 R 0 -30 V -31 30 R 62 0 V -62 -30 R 62 0 V 750 -134 R 0 -20 V -31 20 R 62 0 V -62 -20 R 62 0 V 750 -171 R 0 -9 V -31 9 R 62 0 V -62 -9 R 62 0 V 751 -166 R 0 -13 V -31 13 R 62 0 V -62 -13 R 62 0 V 750 -120 R 0 -16 V -31 16 R 62 0 V -62 -16 R 62 0 V 1519 5441 Circle 2300 5578 Circle 3082 5521 Circle 3863 5412 Circle 4644 5264 Circle 5425 5105 Circle 6206 4919 Circle 6988 4742 Circle 7769 4608 Circle 0 -150 translate 5775 90 Circle 1.000 UP 1.000 UL LT6 7472 270 M (30 particles) Rshow 7580 270 M 495 0 V -495 31 R 0 -62 V 495 62 R 0 -62 V 0 150 translate 1519 5539 M 0 -145 V -31 145 R 62 0 V -62 -145 R 62 0 V 750 246 R 0 -52 V -31 52 R 62 0 V -62 -52 R 62 0 V 751 36 R 0 -32 V -31 32 R 62 0 V -62 -32 R 62 0 V 750 -118 R 0 -29 V -31 29 R 62 0 V -62 -29 R 62 0 V 750 -93 R 0 -38 V -31 38 R 62 0 V -62 -38 R 62 0 V 750 -136 R 0 -14 V -31 14 R 62 0 V -62 -14 R 62 0 V 750 -175 R 0 -23 V -31 23 R 62 0 V -62 -23 R 62 0 V 751 -158 R 0 -26 V -31 26 R 62 0 V -62 -26 R 62 0 V 750 -116 R 0 -11 V -31 11 R 62 0 V -62 -11 R 62 0 V 750 -80 R 0 -12 V -31 12 R 62 0 V -62 -12 R 62 0 V 1519 5467 CircleF 2300 5614 CircleF 3082 5608 CircleF 3863 5459 CircleF 4644 5333 CircleF 5425 5171 CircleF 6206 4978 CircleF 6988 4795 CircleF 7769 4660 CircleF 8550 4569 CircleF 0 -150 translate 7827 270 CircleF 1.000 UP 1.000 UL LT7 7472 90 M (50 particles) Rshow 7580 90 M 495 0 V -495 31 R 0 -62 V 495 62 R 0 -62 V 0 150 translate 1519 5585 M 0 -110 V -31 110 R 62 0 V -62 -110 R 62 0 V 750 165 R 0 -63 V -31 63 R 62 0 V -62 -63 R 62 0 V 751 34 R 0 -57 V -31 57 R 62 0 V -62 -57 R 62 0 V 750 -52 R 0 -25 V -31 25 R 62 0 V -62 -25 R 62 0 V 750 -123 R 0 -18 V -31 18 R 62 0 V -62 -18 R 62 0 V 750 -129 R 0 -29 V -31 29 R 62 0 V -62 -29 R 62 0 V 750 -155 R 0 -21 V -31 21 R 62 0 V -62 -21 R 62 0 V 751 -148 R 0 -15 V -31 15 R 62 0 V -62 -15 R 62 0 V 750 -142 R 0 -14 V -31 14 R 62 0 V -62 -14 R 62 0 V 750 -86 R 0 -8 V -31 8 R 62 0 V -62 -8 R 62 0 V 1519 5530 TriU 2300 5609 TriU 3082 5583 TriU 3863 5490 TriU 4644 5345 TriU 5425 5193 TriU 6206 5012 TriU 6988 4847 TriU 7769 4690 TriU 8550 4593 TriU 0 -150 translate 7827 90 TriU stroke (Helvetica) findfont 180 scalefont setfont 4500 500 M (E) show 0 3500 translate 90 rotate 0 0 moveto (Symbol) findfont 180 scalefont setfont (k) show (Helvetica) findfont 180 scalefont setfont ((E,N)) show stroke grestore end showpage %%Trailer %%DocumentFonts: Times-Roman ---------------0202190806514 Content-Type: application/postscript; name="fig3.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="fig3.ps" %!PS-Adobe-2.0 EPSF-2.0 %%Title: fig3.ps %%Creator: gnuplot 3.7 patchlevel 0.2 %%CreationDate: Sat Dec 1 00:30:17 2001 %%DocumentFonts: (atend) %%BoundingBox: 50 50 482 352 %%Orientation: Portrait %%EndComments /gnudict 256 dict def gnudict begin /Color false def /Solid false def /gnulinewidth 5.000 def /userlinewidth gnulinewidth def /vshift -60 def /dl {10 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth } def /AL { stroke userlinewidth 2 div setlinewidth } def /UL { dup gnulinewidth mul /userlinewidth exch def 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash 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79 -34 V 79 -33 V 79 -34 V 79 -33 V 78 -34 V 79 -34 V 79 -33 V 79 -34 V 79 -33 V 79 -34 V stroke 4500 -150 M (Helvetica) findfont 180 scalefont setfont (N) show 0 3000 translate 90 rotate 0 0 moveto (Symbol) findfont 180 scalefont setfont (k) show (Helvetica) findfont 180 scalefont setfont ((E,N)) show stroke grestore end showpage %%Trailer %%DocumentFonts: Helvetica ---------------0202190806514 Content-Type: application/postscript; name="fig5.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="fig5.ps" %!PS-Adobe-2.0 EPSF-2.0 %%Title: fig5.ps %%Creator: gnuplot 3.7 patchlevel 0.2 %%CreationDate: Thu Aug 16 21:33:06 2001 %%DocumentFonts: (atend) %%BoundingBox: 50 50 482 352 %%Orientation: Portrait %%EndComments /gnudict 256 dict def gnudict begin /Color false def /Solid false def /gnulinewidth 5.000 def /userlinewidth gnulinewidth def /vshift -60 def /dl {10 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth } def /AL { stroke userlinewidth 2 div setlinewidth } def /UL { dup gnulinewidth mul /userlinewidth exch def 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray fill grestore } def end %%EndProlog gnudict begin gsave %50 50 translate 0.0450 0.0450 scale 0 setgray newpath (Times-Roman) findfont 180 scalefont setfont 1.000 UL LTb 630 360 M 63 0 V 7857 0 R -63 0 V 522 360 M (0) Rshow 630 1134 M 63 0 V 7857 0 R -63 0 V -7965 0 R (0.2) Rshow 630 1908 M 63 0 V 7857 0 R -63 0 V -7965 0 R (0.4) Rshow 630 2682 M 63 0 V 7857 0 R -63 0 V -7965 0 R (0.6) Rshow 630 3455 M 63 0 V 7857 0 R -63 0 V -7965 0 R (0.8) Rshow 630 4229 M 63 0 V 7857 0 R -63 0 V -7965 0 R (1) Rshow 630 5003 M 63 0 V 7857 0 R -63 0 V -7965 0 R (1.2) Rshow 630 5777 M 63 0 V 7857 0 R -63 0 V -7965 0 R (1.4) Rshow 630 360 M 0 63 V 0 5409 R 0 -63 V 630 180 M (0) Cshow 1750 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (0.2) Cshow 2870 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (0.4) Cshow 3990 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (0.6) Cshow 5110 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (0.8) Cshow 6230 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (1) Cshow 7350 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (1.2) Cshow 8470 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (1.4) Cshow 1.000 UL LTb 630 360 M 7920 0 V 0 5472 V -7920 0 V 630 360 L 1.000 UP 1.000 UL LT0 1818 5679 M (E=0.04) Rshow 1926 5679 M 495 0 V -495 31 R 0 -62 V 495 62 R 0 -62 V 709 405 M 0 -3 V -31 3 R 62 0 V -62 -3 R 62 0 V 128 91 R 0 -6 V -31 6 R 62 0 V -62 -6 R 62 0 V 127 94 R 0 -7 V -31 7 R 62 0 V -62 -7 R 62 0 V 127 96 R 0 -9 V -31 9 R 62 0 V -62 -9 R 62 0 V 128 97 R 0 -10 V -31 10 R 62 0 V -62 -10 R 62 0 V 127 100 R 0 -11 V -31 11 R 62 0 V -62 -11 R 62 0 V 128 104 R 0 -12 V -31 12 R 62 0 V -62 -12 R 62 0 V 127 105 R 0 -13 V -31 13 R 62 0 V -62 -13 R 62 0 V 127 107 R 0 -14 V -31 14 R 62 0 V -62 -14 R 62 0 V 128 110 R 0 -14 V -31 14 R 62 0 V -62 -14 R 62 0 V 127 114 R 0 -15 V -31 15 R 62 0 V -62 -15 R 62 0 V 128 118 R 0 -16 V -31 16 R 62 0 V -62 -16 R 62 0 V 127 123 R 0 -17 V -31 17 R 62 0 V -62 -17 R 62 0 V 127 125 R 0 -18 V -31 18 R 62 0 V -62 -18 R 62 0 V 128 130 R 0 -18 V -31 18 R 62 0 V -62 -18 R 62 0 V 127 136 R 0 -19 V -31 19 R 62 0 V -62 -19 R 62 0 V 128 140 R 0 -20 V -31 20 R 62 0 V -62 -20 R 62 0 V 127 144 R 0 -21 V -31 21 R 62 0 V -62 -21 R 62 0 V 127 147 R 0 -21 V -31 21 R 62 0 V -62 -21 R 62 0 V 128 153 R 0 -22 V -31 22 R 62 0 V -62 -22 R 62 0 V 127 157 R 0 -23 V -31 23 R 62 0 V -62 -23 R 62 0 V 128 162 R 0 -23 V -31 23 R 62 0 V -62 -23 R 62 0 V 127 167 R 0 -24 V -31 24 R 62 0 V -62 -24 R 62 0 V 127 171 R 0 -25 V -31 25 R 62 0 V -62 -25 R 62 0 V 128 176 R 0 -26 V -31 26 R 62 0 V -62 -26 R 62 0 V 127 177 R 0 -26 V -31 26 R 62 0 V -62 -26 R 62 0 V 128 183 R 0 -27 V -31 27 R 62 0 V -62 -27 R 62 0 V 127 187 R 0 -28 V -31 28 R 62 0 V -62 -28 R 62 0 V 127 187 R 0 -29 V -31 29 R 62 0 V -62 -29 R 62 0 V 128 187 R 0 -29 V -31 29 R 62 0 V -62 -29 R 62 0 V 127 187 R 0 -30 V -31 30 R 62 0 V -62 -30 R 62 0 V 128 182 R 0 -31 V -31 31 R 62 0 V -62 -31 R 62 0 V 127 183 R 0 -31 V -31 31 R 62 0 V -62 -31 R 62 0 V 127 178 R 0 -31 V -31 31 R 62 0 V -62 -31 R 62 0 V 128 173 R 0 -32 V -31 32 R 62 0 V -62 -32 R 62 0 V 127 159 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 128 148 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 127 129 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 127 117 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 128 107 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 127 85 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 128 69 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 127 44 R 0 -35 V -31 35 R 62 0 V -62 -35 R 62 0 V 127 29 R 0 -35 V -31 35 R 62 0 V -62 -35 R 62 0 V 128 9 R 0 -35 V -31 35 R 62 0 V -62 -35 R 62 0 V 127 -11 R 0 -35 V -31 35 R 62 0 V -62 -35 R 62 0 V 128 -30 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 127 -54 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 127 -77 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 128 -79 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 709 403 Pls 868 490 Pls 1026 577 Pls 1184 665 Pls 1343 753 Pls 1501 843 Pls 1660 935 Pls 1818 1027 Pls 1976 1121 Pls 2135 1217 Pls 2293 1317 Pls 2452 1419 Pls 2610 1525 Pls 2768 1633 Pls 2927 1745 Pls 3085 1863 Pls 3244 1983 Pls 3402 2107 Pls 3560 2233 Pls 3719 2364 Pls 3877 2498 Pls 4036 2637 Pls 4194 2781 Pls 4352 2927 Pls 4511 3078 Pls 4669 3229 Pls 4828 3386 Pls 4986 3545 Pls 5144 3704 Pls 5303 3862 Pls 5461 4019 Pls 5620 4171 Pls 5778 4322 Pls 5936 4469 Pls 6095 4611 Pls 6253 4737 Pls 6412 4852 Pls 6570 4948 Pls 6728 5032 Pls 6887 5105 Pls 7045 5156 Pls 7204 5191 Pls 7362 5201 Pls 7520 5195 Pls 7679 5169 Pls 7837 5123 Pls 7996 5058 Pls 8154 4970 Pls 8312 4859 Pls 8471 4747 Pls 2173 5679 Pls 1.000 UP 1.000 UL LT1 1818 5499 M (E=0.08) Rshow 1926 5499 M 495 0 V -495 31 R 0 -62 V 495 62 R 0 -62 V 709 405 M 0 -3 V -31 3 R 62 0 V -62 -3 R 62 0 V 128 91 R 0 -6 V -31 6 R 62 0 V -62 -6 R 62 0 V 127 94 R 0 -7 V -31 7 R 62 0 V -62 -7 R 62 0 V 127 96 R 0 -9 V -31 9 R 62 0 V -62 -9 R 62 0 V 128 98 R 0 -10 V -31 10 R 62 0 V -62 -10 R 62 0 V 127 101 R 0 -11 V -31 11 R 62 0 V -62 -11 R 62 0 V 128 103 R 0 -12 V -31 12 R 62 0 V -62 -12 R 62 0 V 127 106 R 0 -12 V -31 12 R 62 0 V -62 -12 R 62 0 V 127 107 R 0 -13 V -31 13 R 62 0 V -62 -13 R 62 0 V 128 111 R 0 -15 V -31 15 R 62 0 V -62 -15 R 62 0 V 127 114 R 0 -15 V -31 15 R 62 0 V -62 -15 R 62 0 V 128 117 R 0 -17 V -31 17 R 62 0 V -62 -17 R 62 0 V 127 121 R 0 -17 V -31 17 R 62 0 V -62 -17 R 62 0 V 127 125 R 0 -18 V -31 18 R 62 0 V -62 -18 R 62 0 V 128 129 R 0 -18 V -31 18 R 62 0 V -62 -18 R 62 0 V 127 133 R 0 -19 V -31 19 R 62 0 V -62 -19 R 62 0 V 128 139 R 0 -20 V -31 20 R 62 0 V -62 -20 R 62 0 V 127 145 R 0 -21 V -31 21 R 62 0 V -62 -21 R 62 0 V 127 148 R 0 -22 V -31 22 R 62 0 V -62 -22 R 62 0 V 128 154 R 0 -22 V -31 22 R 62 0 V -62 -22 R 62 0 V 127 159 R 0 -23 V -31 23 R 62 0 V -62 -23 R 62 0 V 128 163 R 0 -24 V -31 24 R 62 0 V -62 -24 R 62 0 V 127 168 R 0 -24 V -31 24 R 62 0 V -62 -24 R 62 0 V 127 172 R 0 -26 V -31 26 R 62 0 V -62 -26 R 62 0 V 128 177 R 0 -26 V -31 26 R 62 0 V -62 -26 R 62 0 V 127 180 R 0 -26 V -31 26 R 62 0 V -62 -26 R 62 0 V 128 183 R 0 -27 V -31 27 R 62 0 V -62 -27 R 62 0 V 127 186 R 0 -28 V -31 28 R 62 0 V -62 -28 R 62 0 V 127 184 R 0 -29 V -31 29 R 62 0 V -62 -29 R 62 0 V 128 185 R 0 -29 V -31 29 R 62 0 V -62 -29 R 62 0 V 127 185 R 0 -30 V -31 30 R 62 0 V -62 -30 R 62 0 V 128 184 R 0 -30 V -31 30 R 62 0 V -62 -30 R 62 0 V 127 181 R 0 -31 V -31 31 R 62 0 V -62 -31 R 62 0 V 127 176 R 0 -32 V -31 32 R 62 0 V -62 -32 R 62 0 V 128 169 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 127 161 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 128 147 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 127 134 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 127 120 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 128 104 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 127 88 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 128 74 R 0 -35 V -31 35 R 62 0 V -62 -35 R 62 0 V 127 48 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 127 25 R 0 -35 V -31 35 R 62 0 V -62 -35 R 62 0 V 128 7 R 0 -35 V -31 35 R 62 0 V -62 -35 R 62 0 V 127 -15 R 0 -35 V -31 35 R 62 0 V -62 -35 R 62 0 V 128 -37 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 127 -55 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 127 -60 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 128 -71 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 709 403 Crs 868 490 Crs 1026 577 Crs 1184 665 Crs 1343 754 Crs 1501 845 Crs 1660 936 Crs 1818 1030 Crs 1976 1124 Crs 2135 1221 Crs 2293 1320 Crs 2452 1422 Crs 2610 1526 Crs 2768 1633 Crs 2927 1744 Crs 3085 1859 Crs 3244 1978 Crs 3402 2102 Crs 3560 2229 Crs 3719 2361 Crs 3877 2497 Crs 4036 2637 Crs 4194 2781 Crs 4352 2928 Crs 4511 3079 Crs 4669 3233 Crs 4828 3390 Crs 4986 3548 Crs 5144 3704 Crs 5303 3859 Crs 5461 4015 Crs 5620 4169 Crs 5778 4320 Crs 5936 4464 Crs 6095 4600 Crs 6253 4729 Crs 6412 4842 Crs 6570 4944 Crs 6728 5030 Crs 6887 5100 Crs 7045 5154 Crs 7204 5193 Crs 7362 5207 Crs 7520 5197 Crs 7679 5169 Crs 7837 5120 Crs 7996 5048 Crs 8154 4959 Crs 8312 4866 Crs 8471 4762 Crs 2173 5499 Crs 1.000 UP 1.000 UL LT2 1818 5319 M (E=0.12) Rshow 1926 5319 M 495 0 V -495 31 R 0 -62 V 495 62 R 0 -62 V 709 405 M 0 -3 V -31 3 R 62 0 V -62 -3 R 62 0 V 128 92 R 0 -6 V -31 6 R 62 0 V -62 -6 R 62 0 V 127 94 R 0 -7 V -31 7 R 62 0 V -62 -7 R 62 0 V 127 96 R 0 -8 V -31 8 R 62 0 V -62 -8 R 62 0 V 128 98 R 0 -10 V -31 10 R 62 0 V -62 -10 R 62 0 V 127 101 R 0 -11 V -31 11 R 62 0 V -62 -11 R 62 0 V 128 104 R 0 -12 V -31 12 R 62 0 V -62 -12 R 62 0 V 127 107 R 0 -13 V -31 13 R 62 0 V -62 -13 R 62 0 V 127 110 R 0 -14 V -31 14 R 62 0 V -62 -14 R 62 0 V 128 111 R 0 -14 V -31 14 R 62 0 V -62 -14 R 62 0 V 127 114 R 0 -15 V -31 15 R 62 0 V -62 -15 R 62 0 V 128 116 R 0 -16 V -31 16 R 62 0 V -62 -16 R 62 0 V 127 119 R 0 -17 V -31 17 R 62 0 V -62 -17 R 62 0 V 127 123 R 0 -18 V -31 18 R 62 0 V -62 -18 R 62 0 V 128 128 R 0 -19 V -31 19 R 62 0 V -62 -19 R 62 0 V 127 132 R 0 -19 V -31 19 R 62 0 V -62 -19 R 62 0 V 128 137 R 0 -20 V -31 20 R 62 0 V -62 -20 R 62 0 V 127 141 R 0 -20 V -31 20 R 62 0 V -62 -20 R 62 0 V 127 146 R 0 -21 V -31 21 R 62 0 V -62 -21 R 62 0 V 128 151 R 0 -22 V -31 22 R 62 0 V -62 -22 R 62 0 V 127 158 R 0 -23 V -31 23 R 62 0 V -62 -23 R 62 0 V 128 163 R 0 -23 V -31 23 R 62 0 V -62 -23 R 62 0 V 127 167 R 0 -24 V -31 24 R 62 0 V -62 -24 R 62 0 V 127 173 R 0 -25 V -31 25 R 62 0 V -62 -25 R 62 0 V 128 177 R 0 -25 V -31 25 R 62 0 V -62 -25 R 62 0 V 127 179 R 0 -27 V -31 27 R 62 0 V -62 -27 R 62 0 V 128 185 R 0 -28 V -31 28 R 62 0 V -62 -28 R 62 0 V 127 187 R 0 -28 V -31 28 R 62 0 V -62 -28 R 62 0 V 127 189 R 0 -28 V -31 28 R 62 0 V -62 -28 R 62 0 V 128 191 R 0 -30 V -31 30 R 62 0 V -62 -30 R 62 0 V 127 186 R 0 -30 V -31 30 R 62 0 V -62 -30 R 62 0 V 128 185 R 0 -31 V -31 31 R 62 0 V -62 -31 R 62 0 V 127 184 R 0 -31 V -31 31 R 62 0 V -62 -31 R 62 0 V 127 178 R 0 -32 V -31 32 R 62 0 V -62 -32 R 62 0 V 128 168 R 0 -32 V -31 32 R 62 0 V -62 -32 R 62 0 V 127 160 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 128 148 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 127 135 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 127 117 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 128 102 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 127 87 R 0 -35 V -31 35 R 62 0 V -62 -35 R 62 0 V 128 62 R 0 -35 V -31 35 R 62 0 V -62 -35 R 62 0 V 127 43 R 0 -35 V -31 35 R 62 0 V -62 -35 R 62 0 V 127 24 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 128 1 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 127 -18 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 128 -34 R 0 -34 V -31 34 R 62 0 V -62 -34 R 62 0 V 127 -40 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 127 -38 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 128 -64 R 0 -33 V -31 33 R 62 0 V -62 -33 R 62 0 V 709 404 Star 868 491 Star 1026 579 Star 1184 667 Star 1343 756 Star 1501 847 Star 1660 939 Star 1818 1033 Star 1976 1130 Star 2135 1227 Star 2293 1326 Star 2452 1427 Star 2610 1530 Star 2768 1635 Star 2927 1745 Star 3085 1858 Star 3244 1975 Star 3402 2096 Star 3560 2221 Star 3719 2351 Star 3877 2487 Star 4036 2627 Star 4194 2770 Star 4352 2919 Star 4511 3071 Star 4669 3224 Star 4828 3381 Star 4986 3540 Star 5144 3701 Star 5303 3863 Star 5461 4019 Star 5620 4174 Star 5778 4327 Star 5936 4473 Star 6095 4609 Star 6253 4737 Star 6412 4851 Star 6570 4954 Star 6728 5037 Star 6887 5105 Star 7045 5158 Star 7204 5184 Star 7362 5192 Star 7520 5182 Star 7679 5149 Star 7837 5097 Star 7996 5029 Star 8154 4956 Star 8312 4884 Star 8471 4787 Star 2173 5319 Star 1.000 UL LT3 1818 5139 M (stochastic) Rshow 1926 5139 M 495 0 V 630 360 M 80 44 V 80 43 V 80 44 V 80 44 V 80 44 V 80 45 V 80 44 V 80 45 V 80 45 V 80 45 V 80 46 V 80 46 V 80 47 V 80 47 V 80 47 V 80 48 V 80 49 V 80 49 V 80 50 V 80 50 V 80 51 V 80 52 V 80 53 V 80 53 V 80 54 V 80 55 V 80 55 V 80 57 V 80 57 V 80 58 V 80 60 V 80 60 V 80 61 V 80 62 V 80 63 V 80 64 V 80 65 V 80 66 V 80 67 V 80 67 V 80 69 V 80 70 V 80 71 V 80 72 V 80 72 V 80 74 V 80 74 V 80 75 V 80 76 V 80 76 V 80 77 V 80 78 V 80 77 V 80 79 V 80 78 V 80 79 V 80 79 V 80 78 V 80 78 V 80 78 V 80 77 V 80 77 V 80 75 V 80 74 V 80 73 V 80 72 V 80 69 V 80 68 V 80 66 V 80 63 V 80 60 V 80 58 V 80 54 V 80 51 V 80 48 V 80 44 V 80 40 V 80 36 V 80 31 V 80 27 V 80 22 V 80 18 V 80 13 V 80 8 V 80 2 V 80 -2 V 80 -8 V 80 -12 V 80 -18 V 80 -23 V 80 -28 V 80 -34 V 80 -38 V 80 -44 V 80 -49 V 80 -54 V 80 -60 V 80 -66 V 80 -76 V 1.000 UL LT4 1818 4959 M (equi) Rshow 1926 4959 M 495 0 V 630 360 M 80 55 V 80 56 V 80 55 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 55 V 80 56 V 80 55 V 80 55 V 80 55 V 80 56 V 80 55 V stroke (Helvetica) findfont 180 scalefont setfont 4500 -100 M (r) show 0 2500 translate 90 rotate 0 0 moveto (2) show (Symbol) findfont 180 scalefont setfont (p) show (Helvetica) findfont 180 scalefont setfont (r)show (Symbol) findfont 180 scalefont setfont (y) show (Helvetica) findfont 120 scalefont setfont 0 -30 rmoveto (0) show 0 30 rmoveto (Helvetica) findfont 180 scalefont setfont ((r,E;2)) show grestore end showpage %%Trailer %%DocumentFonts: Times-Roman ---------------0202190806514 Content-Type: application/postscript; name="fig6.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="fig6.ps" %!PS-Adobe-2.0 EPSF-2.0 %%Title: fig6.ps %%Creator: gnuplot 3.7 patchlevel 0.2 %%CreationDate: Thu Aug 16 21:38:56 2001 %%DocumentFonts: (atend) %%BoundingBox: 50 50 482 352 %%Orientation: Portrait %%EndComments /gnudict 256 dict def gnudict begin /Color false def /Solid false def /gnulinewidth 5.000 def /userlinewidth gnulinewidth def /vshift -60 def /dl {10 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth } def /AL { stroke userlinewidth 2 div setlinewidth } def /UL { dup gnulinewidth mul /userlinewidth exch def 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray fill grestore } def end %%EndProlog gnudict begin gsave %50 50 translate 0.0450 0.0450 scale 0 setgray newpath (Times-Roman) findfont 180 scalefont setfont 1.000 UL LTb 846 360 M 63 0 V 7641 0 R -63 0 V 738 360 M (-0.05) Rshow 846 968 M 63 0 V 7641 0 R -63 0 V 738 968 M (0) Rshow 846 1576 M 63 0 V 7641 0 R -63 0 V -7749 0 R (0.05) Rshow 846 2184 M 63 0 V 7641 0 R -63 0 V -7749 0 R (0.1) Rshow 846 2792 M 63 0 V 7641 0 R -63 0 V -7749 0 R (0.15) Rshow 846 3400 M 63 0 V 7641 0 R -63 0 V -7749 0 R (0.2) Rshow 846 4008 M 63 0 V 7641 0 R -63 0 V -7749 0 R (0.25) Rshow 846 4616 M 63 0 V 7641 0 R -63 0 V -7749 0 R (0.3) Rshow 846 5224 M 63 0 V 7641 0 R -63 0 V -7749 0 R (0.35) Rshow 846 5832 M 63 0 V 7641 0 R -63 0 V -7749 0 R (0.4) Rshow 846 360 M 0 63 V 0 5409 R 0 -63 V 846 180 M (0) Cshow 1936 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (0.2) Cshow 3025 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (0.4) Cshow 4115 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (0.6) Cshow 5204 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (0.8) Cshow 6294 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (1) Cshow 7383 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (1.2) Cshow 8473 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (1.4) Cshow 1.000 UL LTb 846 360 M 7704 0 V 0 5472 V -7704 0 V 846 360 L 1.000 UP 1.000 UL LT0 2034 5679 M (E=0.04) Rshow 2142 5679 M 495 0 V -495 31 R 0 -62 V 495 62 R 0 -62 V 962 971 M 0 -4 V -31 4 R 62 0 V -62 -4 R 62 0 V 200 14 R 0 -10 V -31 10 R 62 0 V -62 -10 R 62 0 V 200 25 R 0 -16 V -31 16 R 62 0 V -62 -16 R 62 0 V 200 39 R 0 -23 V -31 23 R 62 0 V -62 -23 R 62 0 V 200 54 R 0 -29 V -31 29 R 62 0 V -62 -29 R 62 0 V 200 69 R 0 -37 V -31 37 R 62 0 V -62 -37 R 62 0 V 200 84 R 0 -44 V -31 44 R 62 0 V -62 -44 R 62 0 V 200 97 R 0 -50 V -31 50 R 62 0 V -62 -50 R 62 0 V 201 125 R 0 -58 V -31 58 R 62 0 V -62 -58 R 62 0 V 200 147 R 0 -67 V -31 67 R 62 0 V -62 -67 R 62 0 V 200 148 R 0 -74 V -31 74 R 62 0 V -62 -74 R 62 0 V 200 197 R 0 -84 V -31 84 R 62 0 V -62 -84 R 62 0 V 200 215 R 0 -94 V -31 94 R 62 0 V -62 -94 R 62 0 V 200 258 R 0 -104 V -31 104 R 62 0 V -62 -104 R 62 0 V 200 274 R 0 -114 V -31 114 R 62 0 V -62 -114 R 62 0 V 200 304 R 0 -124 V -31 124 R 62 0 V -62 -124 R 62 0 V 200 311 R 0 -132 V -31 132 R 62 0 V -62 -132 R 62 0 V 201 445 R 0 -147 V -31 147 R 62 0 V -62 -147 R 62 0 V 200 419 R 0 -158 V -31 158 R 62 0 V -62 -158 R 62 0 V 200 457 R 0 -169 V -31 169 R 62 0 V -62 -169 R 62 0 V 200 498 R 0 -181 V -31 181 R 62 0 V -62 -181 R 62 0 V 200 435 R 0 -190 V -31 190 R 62 0 V -62 -190 R 62 0 V 200 552 R 0 -202 V -31 202 R 62 0 V -62 -202 R 62 0 V 200 543 R 0 -213 V -31 213 R 62 0 V -62 -213 R 62 0 V 200 479 R 0 -220 V -31 220 R 62 0 V -62 -220 R 62 0 V 201 418 R 0 -226 V -31 226 R 62 0 V -62 -226 R 62 0 V 200 479 R 0 -233 V -31 233 R 62 0 V -62 -233 R 62 0 V 200 398 R 0 -238 V -31 238 R 62 0 V -62 -238 R 62 0 V 200 208 R 0 -237 V -31 237 R 62 0 V -62 -237 R 62 0 V 200 174 R 0 -235 V -31 235 R 62 0 V -62 -235 R 62 0 V 200 153 R 0 -233 V -31 233 R 62 0 V -62 -233 R 62 0 V 200 26 R 0 -227 V -31 227 R 62 0 V -62 -227 R 62 0 V 200 -1 R 0 -220 V -31 220 R 62 0 V -62 -220 R 62 0 V 962 969 Pls 1193 976 Pls 1424 988 Pls 1655 1008 Pls 1886 1035 Pls 2117 1071 Pls 2348 1115 Pls 2579 1165 Pls 2811 1236 Pls 3042 1321 Pls 3273 1398 Pls 3504 1516 Pls 3735 1642 Pls 3966 1801 Pls 4197 1966 Pls 4428 2151 Pls 4659 2334 Pls 4891 2640 Pls 5122 2906 Pls 5353 3200 Pls 5584 3523 Pls 5815 3772 Pls 6046 4128 Pls 6277 4464 Pls 6508 4726 Pls 6740 4921 Pls 6971 5170 Pls 7202 5333 Pls 7433 5303 Pls 7664 5241 Pls 7895 5160 Pls 8126 4956 Pls 8357 4732 Pls 2389 5679 Pls 1.000 UP 1.000 UL LT1 2034 5499 M (E=0.08) Rshow 2142 5499 M 495 0 V -495 31 R 0 -62 V 495 62 R 0 -62 V 962 969 M -31 0 R 62 0 V -62 0 R 62 0 V 200 6 R -31 0 R 62 0 V -62 0 R 62 0 V 200 13 R -31 0 R 62 0 V -62 0 R 62 0 V 200 20 R -31 0 R 62 0 V -62 0 R 62 0 V 200 28 R -31 0 R 62 0 V -62 0 R 62 0 V 200 36 R -31 0 R 62 0 V -62 0 R 62 0 V 200 46 R -31 0 R 62 0 V -62 0 R 62 0 V 200 51 R -31 0 R 62 0 V -62 0 R 62 0 V 201 66 R -31 0 R 62 0 V -62 0 R 62 0 V 200 79 R -31 0 R 62 0 V -62 0 R 62 0 V 200 87 R -31 0 R 62 0 V -62 0 R 62 0 V 200 111 R -31 0 R 62 0 V -62 0 R 62 0 V 200 139 R -31 0 R 62 0 V -62 0 R 62 0 V 200 141 R -31 0 R 62 0 V -62 0 R 62 0 V 200 173 R -31 0 R 62 0 V -62 0 R 62 0 V 200 199 R -31 0 R 62 0 V -62 0 R 62 0 V 200 225 R -31 0 R 62 0 V -62 0 R 62 0 V 201 253 R -31 0 R 62 0 V -62 0 R 62 0 V 200 286 R -31 0 R 62 0 V -62 0 R 62 0 V 200 278 R -31 0 R 62 0 V -62 0 R 62 0 V 200 319 R -31 0 R 62 0 V -62 0 R 62 0 V 200 345 R -31 0 R 62 0 V -62 0 R 62 0 V 200 304 R -31 0 R 62 0 V -62 0 R 62 0 V 200 309 R -31 0 R 62 0 V -62 0 R 62 0 V 200 293 R -31 0 R 62 0 V -62 0 R 62 0 V 201 257 R -31 0 R 62 0 V -62 0 R 62 0 V 200 167 R -31 0 R 62 0 V -62 0 R 62 0 V 200 134 R -31 0 R 62 0 V -62 0 R 62 0 V 200 26 R -31 0 R 62 0 V -62 0 R 62 0 V 200 -63 R -31 0 R 62 0 V -62 0 R 62 0 V 200 -127 R -31 0 R 62 0 V -62 0 R 62 0 V 200 -223 R -31 0 R 62 0 V -62 0 R 62 0 V 200 -198 R -31 0 R 62 0 V -62 0 R 62 0 V 962 969 Crs 1193 975 Crs 1424 988 Crs 1655 1008 Crs 1886 1036 Crs 2117 1072 Crs 2348 1118 Crs 2579 1169 Crs 2811 1235 Crs 3042 1314 Crs 3273 1401 Crs 3504 1512 Crs 3735 1651 Crs 3966 1792 Crs 4197 1965 Crs 4428 2164 Crs 4659 2389 Crs 4891 2642 Crs 5122 2928 Crs 5353 3206 Crs 5584 3525 Crs 5815 3870 Crs 6046 4174 Crs 6277 4483 Crs 6508 4776 Crs 6740 5033 Crs 6971 5200 Crs 7202 5334 Crs 7433 5360 Crs 7664 5297 Crs 7895 5170 Crs 8126 4947 Crs 8357 4749 Crs 2389 5499 Crs 1.000 UP 1.000 UL LT2 2034 5319 M (E=0.12) Rshow 2142 5319 M 495 0 V -495 31 R 0 -62 V 495 62 R 0 -62 V 962 969 M -31 0 R 62 0 V -62 0 R 62 0 V 200 6 R -31 0 R 62 0 V -62 0 R 62 0 V 200 13 R -31 0 R 62 0 V -62 0 R 62 0 V 200 19 R -31 0 R 62 0 V -62 0 R 62 0 V 200 29 R -31 0 R 62 0 V -62 0 R 62 0 V 200 35 R -31 0 R 62 0 V -62 0 R 62 0 V 200 45 R -31 0 R 62 0 V -62 0 R 62 0 V 200 52 R -31 0 R 62 0 V -62 0 R 62 0 V 201 66 R -31 0 R 62 0 V -62 0 R 62 0 V 200 77 R -31 0 R 62 0 V -62 0 R 62 0 V 200 95 R -31 0 R 62 0 V -62 0 R 62 0 V 200 111 R -31 0 R 62 0 V -62 0 R 62 0 V 200 132 R -31 0 R 62 0 V -62 0 R 62 0 V 200 149 R -31 0 R 62 0 V -62 0 R 62 0 V 200 176 R -31 0 R 62 0 V -62 0 R 62 0 V 200 214 R -31 0 R 62 0 V -62 0 R 62 0 V 200 224 R -31 0 R 62 0 V -62 0 R 62 0 V 201 253 R -31 0 R 62 0 V -62 0 R 62 0 V 200 283 R -31 0 R 62 0 V -62 0 R 62 0 V 200 312 R -31 0 R 62 0 V -62 0 R 62 0 V 200 312 R -31 0 R 62 0 V -62 0 R 62 0 V 200 335 R -31 0 R 62 0 V -62 0 R 62 0 V 200 332 R -31 0 R 62 0 V -62 0 R 62 0 V 200 327 R -31 0 R 62 0 V -62 0 R 62 0 V 200 284 R -31 0 R 62 0 V -62 0 R 62 0 V 201 242 R -31 0 R 62 0 V -62 0 R 62 0 V 200 194 R -31 0 R 62 0 V -62 0 R 62 0 V 200 116 R -31 0 R 62 0 V -62 0 R 62 0 V 200 20 R -31 0 R 62 0 V -62 0 R 62 0 V 200 -53 R -31 0 R 62 0 V -62 0 R 62 0 V 200 -177 R -31 0 R 62 0 V -62 0 R 62 0 V 200 -222 R -31 0 R 62 0 V -62 0 R 62 0 V 200 -243 R -31 0 R 62 0 V -62 0 R 62 0 V 962 969 Star 1193 975 Star 1424 988 Star 1655 1007 Star 1886 1036 Star 2117 1071 Star 2348 1116 Star 2579 1168 Star 2811 1234 Star 3042 1311 Star 3273 1406 Star 3504 1517 Star 3735 1649 Star 3966 1798 Star 4197 1974 Star 4428 2188 Star 4659 2412 Star 4891 2665 Star 5122 2948 Star 5353 3260 Star 5584 3572 Star 5815 3907 Star 6046 4239 Star 6277 4566 Star 6508 4850 Star 6740 5092 Star 6971 5286 Star 7202 5402 Star 7433 5422 Star 7664 5369 Star 7895 5192 Star 8126 4970 Star 8357 4727 Star 2389 5319 Star 1.000 UL LT3 2034 5139 M (stochastic) Rshow 2142 5139 M 495 0 V 846 968 M 78 0 V 78 1 V 77 2 V 78 3 V 78 3 V 78 4 V 78 5 V 78 6 V 77 6 V 78 7 V 78 8 V 78 9 V 78 10 V 77 11 V 78 11 V 78 13 V 78 14 V 78 15 V 78 16 V 77 17 V 78 18 V 78 20 V 78 20 V 78 23 V 77 23 V 78 25 V 78 27 V 78 28 V 78 30 V 78 32 V 77 33 V 78 36 V 78 37 V 78 39 V 78 42 V 77 43 V 78 46 V 78 49 V 78 50 V 78 53 V 78 56 V 77 58 V 78 61 V 78 63 V 78 67 V 78 69 V 77 72 V 78 75 V 78 78 V 78 80 V 78 84 V 78 86 V 77 89 V 78 92 V 78 94 V 78 97 V 78 100 V 77 101 V 78 103 V 78 105 V 78 107 V 78 107 V 78 109 V 77 109 V 78 109 V 78 108 V 78 108 V 78 107 V 77 104 V 78 103 V 78 99 V 78 96 V 78 92 V 78 88 V 77 82 V 78 77 V 78 70 V 78 64 V 78 56 V 77 48 V 78 41 V 78 32 V 78 23 V 78 14 V 78 5 V 77 -4 V 78 -14 V 78 -23 V 78 -32 V 78 -42 V 77 -51 V 78 -59 V 78 -68 V 78 -77 V 78 -85 V 78 -94 V 77 -102 V 78 -111 V 78 -125 V stroke (Helvetica) findfont 180 scalefont setfont 4500 -100 M (r) show 0 2500 translate 90 rotate 0 0 moveto (Symbol) findfont 180 scalefont setfont (p) show (Helvetica) findfont 180 scalefont setfont (r)show (Symbol) findfont 180 scalefont setfont (y) show (Helvetica) findfont 120 scalefont setfont 0 -30 rmoveto (1) show 0 30 rmoveto (Helvetica) findfont 180 scalefont setfont ((r,E;2)/E) show grestore end showpage %%Trailer %%DocumentFonts: Times-Roman ---------------0202190806514 Content-Type: application/postscript; name="fig7.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="fig7.ps" %!PS-Adobe-2.0 EPSF-2.0 %%Title: fig7.ps %%Creator: gnuplot 3.7 patchlevel 0.2 %%CreationDate: Thu Aug 16 21:58:18 2001 %%DocumentFonts: (atend) %%BoundingBox: 50 50 482 352 %%Orientation: Portrait %%EndComments /gnudict 256 dict def gnudict begin /Color false def /Solid false def /gnulinewidth 5.000 def /userlinewidth gnulinewidth def /vshift -60 def /dl {10 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth } def /AL { stroke userlinewidth 2 div setlinewidth } def /UL { dup gnulinewidth mul /userlinewidth exch def 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque 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setfont 4500 -100 M (r) show 0 2500 translate 90 rotate 0 0 moveto (2) show (Symbol) findfont 180 scalefont setfont (p) show (Helvetica) findfont 180 scalefont setfont (r)show (Symbol) findfont 180 scalefont setfont (y) show (Helvetica) findfont 120 scalefont setfont 0 -30 rmoveto (0) show 0 30 rmoveto (Helvetica) findfont 180 scalefont setfont ((r,E;50)) show grestore end showpage %%Trailer %%DocumentFonts: Times-Roman ---------------0202190806514 Content-Type: application/postscript; name="fig8.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="fig8.ps" %!PS-Adobe-2.0 EPSF-2.0 %%Title: fig8.ps %%Creator: gnuplot 3.7 patchlevel 0.2 %%CreationDate: Thu Aug 16 22:17:56 2001 %%DocumentFonts: (atend) %%BoundingBox: 50 50 482 352 %%Orientation: Portrait %%EndComments /gnudict 256 dict def gnudict begin /Color false def /Solid false def /gnulinewidth 5.000 def /userlinewidth gnulinewidth def /vshift -60 def /dl {10 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop Solid {pop []} if 0 setdash} ifelse } def /BL { stroke userlinewidth 2 mul setlinewidth } def /AL { stroke userlinewidth 2 div setlinewidth } def /UL { dup gnulinewidth mul /userlinewidth exch def 10 mul /udl exch def } def /PL { stroke userlinewidth setlinewidth } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath 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5575 3258 Crs 5764 2817 Crs 5954 2398 Crs 6144 1991 Crs 6333 1658 Crs 6523 1362 Crs 6713 1117 Crs 6902 918 Crs 7092 760 Crs 7282 639 Crs 7471 551 Crs 7661 489 Crs 7851 438 Crs 8040 408 Crs 8230 391 Crs 8420 377 Crs 8086 5499 Crs 1.000 UL LT2 7731 5319 M (stochastic) Rshow 7839 5319 M 495 0 V 738 360 M 79 6 V 79 16 V 79 28 V 79 39 V 79 49 V 78 61 V 79 72 V 79 82 V 79 93 V 79 103 V 79 114 V 79 123 V 79 133 V 79 142 V 79 150 V 79 159 V 78 166 V 79 172 V 79 179 V 79 184 V 79 188 V 79 191 V 79 194 V 79 195 V 79 195 V 79 193 V 79 192 V 78 188 V 79 183 V 79 177 V 79 170 V 79 162 V 79 152 V 79 141 V 79 129 V 79 117 V 79 102 V 79 88 V 78 73 V 79 56 V 79 40 V 79 23 V 79 7 V 79 -11 V 79 -28 V 79 -44 V 79 -61 V 79 -77 V 79 -91 V 78 -106 V 79 -120 V 79 -131 V 79 -143 V 79 -153 V 79 -162 V 79 -170 V 79 -175 V 79 -180 V 79 -184 V 79 -185 V 78 -186 V 79 -186 V 79 -184 V 79 -182 V 79 -177 V 79 -173 V 79 -167 V 79 -161 V 79 -154 V 79 -146 V 79 -139 V 78 -131 V 79 -122 V 79 -115 V 79 -106 V 79 -98 V 79 -89 V 79 -82 V 79 -75 V 79 -67 V 79 -61 V 79 -54 V 78 -49 V 79 -43 V 79 -38 V 79 -33 V 79 -29 V 79 -25 V 79 -21 V 79 -19 V 79 -16 V 79 -14 V 79 -11 V 78 -10 V 79 -8 V 79 -6 V 79 -6 V 79 -5 V 79 -3 V stroke (Helvetica) findfont 180 scalefont setfont 4500 -100 M (r) show 0 2500 translate 90 rotate 0 0 moveto (Symbol) findfont 180 scalefont setfont (p) show (Helvetica) findfont 180 scalefont setfont (r)show (Symbol) findfont 180 scalefont setfont (y) show (Helvetica) findfont 120 scalefont setfont 0 -30 rmoveto (1) show 0 30 rmoveto (Helvetica) findfont 180 scalefont setfont ((r,E;50)) show grestore end showpage %%Trailer %%DocumentFonts: Times-Roman ---------------0202190806514 Content-Type: application/postscript; name="fig_fit.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="fig_fit.ps" %!PS-Adobe-2.0 EPSF-2.0 %%Title: fig_fit.ps %%Creator: gnuplot 3.7 patchlevel 0 %%CreationDate: Mon Oct 22 15:02:31 2001 %%DocumentFonts: (atend) %%BoundingBox: 50 50 482 352 %%Orientation: Portrait %%EndComments /gnudict 256 dict def gnudict begin /Color false def /Solid false def /gnulinewidth 5.000 def /userlinewidth gnulinewidth def /vshift -60 def /dl {10 mul} def /hpt_ 31.5 def /vpt_ 31.5 def /hpt hpt_ def /vpt vpt_ def /M {moveto} bind def /L {lineto} bind def /R {rmoveto} bind def /V {rlineto} bind def /vpt2 vpt 2 mul def /hpt2 hpt 2 mul def /Lshow { currentpoint stroke M 0 vshift R show } def /Rshow { currentpoint stroke M dup stringwidth pop neg vshift R show } def /Cshow { currentpoint stroke M dup stringwidth pop -2 div vshift R show } def /UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def /DL { Color {setrgbcolor Solid {pop []} if 0 setdash } {pop pop pop Solid {pop []} if 0 setdash} ifelse } def /BL { stroke gnulinewidth 2 mul setlinewidth } def /AL { stroke gnulinewidth 2 div setlinewidth } def /UL { gnulinewidth mul /userlinewidth exch def } def /PL { stroke userlinewidth setlinewidth } def /LTb { BL [] 0 0 0 DL } def /LTa { AL [1 dl 2 dl] 0 setdash 0 0 0 setrgbcolor } def /LT0 { PL [] 1 0 0 DL } def /LT1 { PL [4 dl 2 dl] 0 1 0 DL } def /LT2 { PL [2 dl 3 dl] 0 0 1 DL } def /LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def /LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def /LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def /LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def /LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def /LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def /Pnt { stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore } def /Dia { stroke [] 0 setdash 2 copy vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke Pnt } def /Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V currentpoint stroke M hpt neg vpt neg R hpt2 0 V stroke } def /Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke Pnt } def /Crs { stroke [] 0 setdash exch hpt sub exch vpt add M hpt2 vpt2 neg V currentpoint stroke M hpt2 neg 0 R hpt2 vpt2 V stroke } def /TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke Pnt } def /Star { 2 copy Pls Crs } def /BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath fill } def /TriUF { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath fill } def /TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke Pnt } def /TriDF { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath fill} def /DiaF { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath fill } def /Pent { stroke [] 0 setdash 2 copy gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore Pnt } def /PentF { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath fill grestore } def /Circle { stroke [] 0 setdash 2 copy hpt 0 360 arc stroke Pnt } def /CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def /C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def /C1 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill vpt 0 360 arc closepath } bind def /C2 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C3 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill vpt 0 360 arc closepath } bind def /C4 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc closepath } bind def /C5 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc 2 copy moveto 2 copy vpt 180 270 arc closepath fill vpt 0 360 arc } bind def /C6 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 270 arc closepath fill vpt 0 360 arc closepath } bind def /C7 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 270 arc closepath fill vpt 0 360 arc closepath } bind def /C8 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C9 { BL [] 0 setdash 2 copy moveto 2 copy vpt 270 450 arc closepath fill vpt 0 360 arc closepath } bind def /C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill 2 copy moveto 2 copy vpt 90 180 arc closepath fill vpt 0 360 arc closepath } bind def /C11 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 180 arc closepath fill 2 copy moveto 2 copy vpt 270 360 arc closepath fill vpt 0 360 arc closepath } bind def /C12 { BL [] 0 setdash 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C13 { BL [] 0 setdash 2 copy moveto 2 copy vpt 0 90 arc closepath fill 2 copy moveto 2 copy vpt 180 360 arc closepath fill vpt 0 360 arc closepath } bind def /C14 { BL [] 0 setdash 2 copy moveto 2 copy vpt 90 360 arc closepath fill vpt 0 360 arc } bind def /C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill vpt 0 360 arc closepath } bind def /Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto neg 0 rlineto closepath } bind def /Square { dup Rec } bind def /Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def /S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def /S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def /S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def /S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def /S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill 2 copy vpt Square fill Bsquare } bind def /S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def /S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def /S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def /S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def /S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy vpt Square fill Bsquare } bind def /S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def /S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def /D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def /D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def /D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def /D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def /D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def /D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def /D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def /D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def /D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def /D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def /D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def /D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def /D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def /D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def /D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def /D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def /DiaE { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V closepath stroke } def /BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V closepath stroke } def /TriUE { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V closepath stroke } def /TriDE { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V closepath stroke } def /PentE { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat closepath stroke grestore } def /CircE { stroke [] 0 setdash hpt 0 360 arc stroke } def /Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def /DiaW { stroke [] 0 setdash vpt add M hpt neg vpt neg V hpt vpt neg V hpt vpt V hpt neg vpt V Opaque stroke } def /BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M 0 vpt2 neg V hpt2 0 V 0 vpt2 V hpt2 neg 0 V Opaque stroke } def /TriUW { stroke [] 0 setdash vpt 1.12 mul add M hpt neg vpt -1.62 mul V hpt 2 mul 0 V hpt neg vpt 1.62 mul V Opaque stroke } def /TriDW { stroke [] 0 setdash vpt 1.12 mul sub M hpt neg vpt 1.62 mul V hpt 2 mul 0 V hpt neg vpt -1.62 mul V Opaque stroke } def /PentW { stroke [] 0 setdash gsave translate 0 hpt M 4 {72 rotate 0 hpt L} repeat Opaque stroke grestore } def /CircW { stroke [] 0 setdash hpt 0 360 arc Opaque stroke } def /BoxFill { gsave Rec 1 setgray fill grestore } def end %%EndProlog gnudict begin gsave %50 50 translate 0.0450 0.0450 scale 0 setgray newpath (Times-Roman) findfont 180 scalefont setfont 1.000 UL LTb 846 360 M 63 0 V 7425 0 R -63 0 V 738 360 M (0.25) Rshow 846 1142 M 63 0 V 7425 0 R -63 0 V -7533 0 R (0.255) Rshow 846 1923 M 63 0 V 7425 0 R -63 0 V -7533 0 R (0.26) Rshow 846 2705 M 63 0 V 7425 0 R -63 0 V -7533 0 R (0.265) Rshow 846 3487 M 63 0 V 7425 0 R -63 0 V -7533 0 R (0.27) Rshow 846 4269 M 63 0 V 7425 0 R -63 0 V -7533 0 R (0.275) Rshow 846 5050 M 63 0 V 7425 0 R -63 0 V -7533 0 R (0.28) Rshow 846 5832 M 63 0 V 7425 0 R -63 0 V -7533 0 R (0.285) Rshow 846 360 M 0 63 V 0 5409 R 0 -63 V 846 180 M (0.2) Cshow 1782 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (0.3) Cshow 2718 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (0.4) Cshow 3654 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (0.5) Cshow 4590 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (0.6) Cshow 5526 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (0.7) Cshow 6462 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (0.8) Cshow 7398 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (0.9) Cshow 8334 360 M 0 63 V 0 5409 R 0 -63 V 0 -5589 R (1) Cshow 1.000 UL LTb 846 360 M 7488 0 V 0 5472 V -7488 0 V 846 360 L 1.000 UP 1.000 UL LT0 7515 5679 M (irreversible dynamics) Rshow 7623 5679 M 495 0 V -495 31 R 0 -62 V 495 62 R 0 -62 V 846 5259 M 0 -126 V -31 126 R 62 0 V 815 5133 M 62 0 V 905 113 R 0 -189 V -31 189 R 62 0 V -62 -189 R 62 0 V 905 -387 R 0 -139 V -31 139 R 62 0 V -62 -139 R 62 0 V 905 -532 R 0 -102 V -31 102 R 62 0 V -62 -102 R 62 0 V 905 -635 R 0 -96 V -31 96 R 62 0 V -62 -96 R 62 0 V 905 -828 R 0 -70 V -31 70 R 62 0 V -62 -70 R 62 0 V 905 -703 R 0 -68 V -31 68 R 62 0 V -62 -68 R 62 0 V 7398 903 M 0 -64 V -31 64 R 62 0 V -62 -64 R 62 0 V 8334 429 M 0 -41 V -31 41 R 62 0 V -62 -41 R 62 0 V 846 5196 Pls 1782 5152 Pls 2718 4600 Pls 3654 3948 Pls 4590 3214 Pls 5526 2303 Pls 6462 1531 Pls 7398 871 Pls 8334 408 Pls 7870 5679 Pls 1.000 UP 1.000 UL LT1 7515 5499 M (large N limit of reversible dynamics) Rshow 7623 5499 M 495 0 V -495 31 R 0 -62 V 495 62 R 0 -62 V 846 5148 M 0 -27 V -31 27 R 62 0 V -62 -27 R 62 0 V 905 -25 R 0 -17 V -31 17 R 62 0 V -62 -17 R 62 0 V 905 -475 R 0 -16 V -31 16 R 62 0 V -62 -16 R 62 0 V 905 -660 R 0 -14 V -31 14 R 62 0 V -62 -14 R 62 0 V 905 -782 R 0 -10 V -31 10 R 62 0 V -62 -10 R 62 0 V 905 -840 R 0 -9 V -31 9 R 62 0 V -62 -9 R 62 0 V 905 -714 R 0 -5 V -31 5 R 62 0 V -62 -5 R 62 0 V 7398 834 M 0 -5 V -31 5 R 62 0 V -62 -5 R 62 0 V 8334 434 M 0 -5 V -31 5 R 62 0 V -62 -5 R 62 0 V 846 5135 Crs 1782 5088 Crs 2718 4596 Crs 3654 3921 Crs 4590 3127 Crs 5526 2278 Crs 6462 1557 Crs 7398 832 Crs 8334 431 Crs 7870 5499 Crs stroke 4500 -150 M (Helvetica) findfont 180 scalefont setfont (E) show 0 3000 translate 90 rotate 0 0 moveto (Symbol) findfont 180 scalefont setfont (k) show (Helvetica) findfont 180 scalefont setfont ((E)) show stroke grestore end showpage %%Trailer %%DocumentFonts: Times-Roman ---------------0202190806514 Content-Type: application/postscript; name="x10.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="x10.ps" /punto { gsave % uso: x1 y1 punto 2 0 360 newpath arc fill stroke grestore} def /puntob { gsave % uso: x1 y1 punto 5 0 360 newpath arc stroke grestore} def /cerchio { gsave % uso: x1 y1 r cerchio 0 360 newpath arc stroke grestore} def /puntbb { gsave % uso: x1 y1 punto 5 0 360 newpath arc fill stroke grestore} def /tlinea { gsave % uso: x1 y1 x2 y2 tlinea moveto [4 4] 2 setdash lineto stroke grestore} def /origine1assexper2pilacon|P_2-P_1| { 4 2 roll 2 copy translate exch 4 1 roll sub 3 1 roll exch sub 2 copy atan rotate 2 copy exch 4 1 roll mul 3 1 roll mul add sqrt } def /punta0 { 0 0 moveto dup dup 0 exch 2 div lineto 0 lineto 0 exch 2 div neg lineto 0 0 lineto fill stroke } def /freccia0 { 0 0 moveto 0 2 copy lineto stroke exch 2 div exch translate 3 punta0 stroke } def /freccia{ gsave origine1assexper2pilacon|P_2-P_1| freccia0 grestore} def /slinea { gsave % uso: x1 y1 x2 y2 n slinea setlinewidth 4 2 roll moveto lineto stroke grestore} def /sfreccia { gsave % uso: x1 y1 x2 y2 n setlinewidth freccia grestore } def 2 2 scale 0.5 setlinewidth 115 15 moveto 185 15 lineto 115 15 moveto 115 85 lineto 115 85 moveto 185 85 lineto 185 15 moveto 185 85 lineto stroke /q1 { gsave 0 90 newpath arc stroke grestore} def /q2 {gsave 90 180 newpath arc stroke grestore} def /q3 { gsave 180 270 newpath arc stroke grestore} def /q4 { gsave 270 360 newpath arc stroke grestore} def /cerchio { gsave % uso: x1 y1 r cerchio 0 360 newpath arc stroke grestore} def 0.5 setlinewidth 115 15 30 q1 115 85 30 q4 185 85 30 q3 185 15 30 q2 150 50 15 cerchio 145 10 115 10 0.5 sfreccia 155 10 185 10 0.5 sfreccia 115 15 136 36 0.5 sfreccia 150 50 160 60 0.5 sfreccia 150 30 160 35 0.5 sfreccia 128 47 130 57 0.5 sfreccia 170 55 180 50 0.5 sfreccia 130 90 170 90 0.5 sfreccia stroke ---------------0202190806514--