{
  "id": "0901.2711",
  "version": "v4",
  "published": "2009-01-18T15:45:26.000Z",
  "updated": "2010-04-20T16:08:30.000Z",
  "title": "Duality and Fisher zeros in the 2D Potts model on square lattice",
  "authors": [
    "Marco Astorino",
    "Fabrizio Canfora"
  ],
  "comment": "16 pages, 2 figures; Title changed; The main text has been clarified; Some technical points have been analyzed in more details; References added. Accepted for pubblication of PHYSICAL REVIEW E.",
  "categories": [
    "cond-mat.stat-mech",
    "gr-qc",
    "hep-lat",
    "hep-ph",
    "hep-th"
  ],
  "abstract": "A phenomenological approach to the ferromagnetic two dimensional Potts model on square lattice is proposed. Our goal is to present a simple functional form that obeys the known properties possessed by the free energy of the q-state Potts model. The duality symmetry of the 2D Potts model together with the known results on its critical exponent {\\alpha} allow to fix consistently the details of the proposed expression for the free energy. The agreement of the analytic ansatz with numerical data in the q=3 case is very good at high and low temperatures as well as at the critical point. It is shown that the q>4 cases naturally fit into the same scheme and that one should also expect a good agreement with numerical data. The limiting q=4 case is shortly discussed.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2010-04-20T16:08:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.50.+q",
      "12.40.Nn",
      "11.55.Jy",
      "05.70.Fh"
    ],
    "keywords": [
      "2d potts model",
      "square lattice",
      "fisher zeros",
      "free energy",
      "numerical data"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevE.81.051140",
      "journal": "Physical Review E",
      "year": 2010,
      "month": "May",
      "volume": 81,
      "number": 5,
      "pages": "051140"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 813202,
      "adsabs": "2010PhRvE..81e1140A"
    }
  }
}