Lattice gas models with long range interactions

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 c...

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Bibliographic Details
Published in:Journal of mathematical physics 2017-02, Vol.58 (2)
Main Authors: Aristoff, David, Zhu, Lingjiong
Format: Article
Language:English
Subjects:
Entropy
Phase transitions
Physics
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Summary: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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4975338