J. L. Lebowitz (lebowitz@math.rutgers.edu), A. Mazel, (mazel@math.rutgers.edu), E. Presutti (presutti@axp.mat.uniroma2.it)
Rigorous Proof of a Liquid-Vapor Phase Transition in a Continuum
Particle System
(21K, ReVTeX)
ABSTRACT. We consider particles in ${\Bbb R}^d, d \geq 2$, 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.