Rigorous Proof of a Liquid-Vapor Phase Transition in a Continuum Particle System

Abstract

We consider particles in ${\mathbb{R}}^d,d\ge 2$, 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.

11 pages, in ReVTeX, e-mail addresses: [email protected], [email protected], [email protected]

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