Abstract
We consider particles in ℝd, d≥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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Lebowitz, J.L., Mazel, A. & Presutti, E. Liquid–Vapor Phase Transitions for Systems with Finite-Range Interactions. Journal of Statistical Physics 94, 955–1025 (1999). https://doi.org/10.1023/A:1004591218510
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DOI: https://doi.org/10.1023/A:1004591218510