On the Validity of van der Waals Theory of Surface Tension

#### O. Benois, T. Bodineau, P. Butta, E. Presutti

1997, v.3, Issue 2, 175-198

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.

Keywords: large deviations,Kac potentials,interfaces,contours