{
  "id": "cond-mat/9903413",
  "version": "v1",
  "published": "1999-03-29T16:44:28.000Z",
  "updated": "1999-03-29T16:44:28.000Z",
  "title": "Condensation and Metastability in the 2D Potts Model",
  "authors": [
    "J. L. Meunier",
    "A. Morel"
  ],
  "comment": "32 pages, 6 figures, Latex",
  "journal": "Eur.Phys.J.B13:341-352,2000",
  "doi": "10.1007/s100510050040",
  "categories": [
    "cond-mat.stat-mech",
    "hep-lat"
  ],
  "abstract": "For the first order transition of the Ising model below $T_c$, Isakov has proven that the free energy possesses an essential singularity in the applied field. Such a singularity in the control parameter, anticipated by condensation theory, is believed to be a generic feature of first order transitions, but too weak to be observable. We study these issues for the temperature driven transition of the $q$ states 2D Potts model at $q>q_c=4$. Adapting the droplet model to this case, we relate its parameters to the critical properties at $q_c$ and confront the free energy to the many informations brought by previous works. The essential singularity predicted at the transition temperature leads to observable effects in numerical data. On a finite lattice, a metastability domain of temperatures is identified, which shrinks to zero in the thermodynamical limit. ~",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-03-29T16:44:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.50.+q",
      "05.70.Jk",
      "64.60.My"
    ],
    "keywords": [
      "first order transition",
      "metastability",
      "essential singularity",
      "states 2d potts model",
      "free energy possesses"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "European Physical Journal B",
      "year": 2000,
      "month": "Jan",
      "volume": 13,
      "number": 2,
      "pages": 341
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 523682,
      "adsabs": "2000EPJB...13..341M"
    }
  }
}