- 00-146 M. Biskup, C. Borgs, J.T. Chayes, L.J. Kleinwaks, R. Kotecky
- A General Theory of Lee-Yang Zeros in Models with First-Order Phase
Transitions
(972K, Postscript)
Apr 4, 00
-
Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers
-
Abstract. We present a general, rigorous theory of Lee-Yang zeros for models
with first-order phase transitions that admit convergent contour
expansions. We derive formulas for the positions and the density
of the zeros. In particular, we show that for models without
symmetry, the curves on which the zeros lie are generically not
circles, and can have topologically nontrivial features, such as
bifurcation. Our results are illustrated in three models in a
complex field: the low-temperature Ising and Blume-Capel models,
and the $q$-state Potts model for $q$ large enough.
- Files:
00-146.src(
00-146.comments ,
00-146.keywords ,
0sPRL-to-archives.ps )