J. L. Lebowitz (lebowitz@math.rutgers.edu), A. Mazel, (mazel@math.rutgers.edu), E. Presutti (presutti@axp.mat.uniroma2.it)
Liquid-Vapor Phase Transitions for Systems with Finite Range
Interactions
(186K, TeX)

ABSTRACT.  We consider particles in $\R^d, d \geq 2$ interacting via attractive
pair and repulsive four-body potentials of the Kac type.  Perturbing
about mean field theory, valid when the interaction range becomes
infinite, we prove rigorously the existence of a liquid-gas phase
transition, when the interaction range is finite but long compared to
the interparticle spacing for a range of temperature.