{
  "id": "1702.05071",
  "version": "v1",
  "published": "2017-02-16T18:21:42.000Z",
  "updated": "2017-02-16T18:21:42.000Z",
  "title": "Universality of the third-order phase transition in the constrained Coulomb gas",
  "authors": [
    "Fabio Deelan Cunden",
    "Paolo Facchi",
    "Marilena Ligabò",
    "Pierpaolo Vivo"
  ],
  "comment": "17 pages, 2 figures",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "math.MP"
  ],
  "abstract": "The free energy at zero temperature of Coulomb gas systems in generic dimension is considered as a function of a volume constraint. The transition between the 'pulled' and the 'pushed' phases is characterised as a third-order phase transition, in all dimensions and for a rather large class of isotropic potentials. This suggests that the critical behaviour of the free energy at the 'pulled-to-pushed' transition may be universal, i.e., to some extent independent of the dimension and the details of the pairwise interaction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-16T18:21:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "third-order phase transition",
      "constrained coulomb gas",
      "free energy",
      "universality",
      "coulomb gas systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}