Lattice Gas Models with Long Range Interactions
Mathematical Physics
2017-03-08 v2 math.MP
Abstract
We study microcanonical lattice gas models with long range interactions, including power law interactions. We rigorously obtain a variational principle for the entropy. In a one dimensional example, we find a first order phase transition by proving the entropy is non-differentiable along a certain curve.
Cite
@article{arxiv.1604.01337,
title = {Lattice Gas Models with Long Range Interactions},
author = {David Aristoff and Lingjiong Zhu},
journal= {arXiv preprint arXiv:1604.01337},
year = {2017}
}
Comments
19 pages, 3 figures