Liquid-Vapor Phase Transitions for Systems with Finite Range Interactions

Details Liquid-Vapor Phase Transitions for Systems with Finite Range Interactions Liquid-Vapor Phase Transitions for Systems with Finite Range Interactions

1998-09-09

arxiv.org/abs/cond-mat/9809145v1

Physics

Condensed Matter

60 pages, in TeX, lebowitz@math.rutgers.edu, mazel@math.rutgers.edu, presutti@axp.mat.uniroma2.it, to appear in the Journal of

Scientific paper

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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