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arXiv:1604.01337 [math-ph]AbstractReferencesReviewsResources

Lattice Gas Models with Long Range Interactions

David Aristoff, Lingjiong Zhu

Published 2016-04-05Version 1

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.

Comments: 13 pages, 2 figures
Categories: math-ph, math.MP
Subjects: 82B20, 82B26
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