Benois O., Bodineau T., Butta' P., Presutti E.
On the validity of van der Waals theory of surface tension
(88K, plain TeX)
ABSTRACT. In this paper we prove a weak large deviation principle
for the empirical distribution of Ising spins in $d\ge 2$
dimensions when the interaction is determined by a
Kac potential and the temperature is
below the critical value. We prove that
the rate function is proportional to the area of the interface
by a factor which identifies the surface tension.
Its value is the same as that predicted by the van der Waals theory.