98-594 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) Sep 9, 98

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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.

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