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

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

1998-09-09

arxiv.org/abs/cond-mat/9809144v1

Physical Review Letters 80 (1998) 4701--4704

Physics

Condensed Matter

11 pages, in ReVTeX, e-mail addresses: lebowitz@math.rutgers.edu, mazel@math.rutgers.edu, presutti@axp.mat.uniroma2.it

Scientific paper

10.1103/PhysRevLett.80.4701

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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