98-595 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) Sep 9, 98

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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.

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