{
  "id": "1604.01337",
  "version": "v1",
  "published": "2016-04-05T17:14:14.000Z",
  "updated": "2016-04-05T17:14:14.000Z",
  "title": "Lattice Gas Models with Long Range Interactions",
  "authors": [
    "David Aristoff",
    "Lingjiong Zhu"
  ],
  "comment": "13 pages, 2 figures",
  "categories": [
    "math-ph",
    "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-05T17:14:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B20",
      "82B26"
    ],
    "keywords": [
      "long range interactions",
      "first order phase transition",
      "study microcanonical lattice gas models",
      "power law interactions",
      "variational principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160401337A"
    }
  }
}