{
  "id": "1007.4494",
  "version": "v2",
  "published": "2010-07-26T16:08:28.000Z",
  "updated": "2010-10-18T16:12:55.000Z",
  "title": "q-state Potts model on the Apollonian network",
  "authors": [
    "Nuno A. M. Araújo",
    "Roberto F. S. Andrade",
    "Hans J. Herrmann"
  ],
  "comment": "7 pages, 6 figures. Final version",
  "journal": "Phys. Rev. E 82, 046109 (2010)",
  "doi": "10.1103/PhysRevE.82.046109",
  "categories": [
    "cond-mat.stat-mech",
    "physics.comp-ph"
  ],
  "abstract": "The q-state Potts model is studied on the Apollonian network with Monte Carlo simulations and the Transfer Matrix method. The spontaneous magnetization, correlation length, entropy, and specific heat are analyzed as a function of temperature for different number of states, $q$. Different scaling functions in temperature and $q$ are proposed. A quantitative agreement is found between results from both methods. No critical behavior is observed in the thermodynamic limit for any number of states.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-10-18T16:12:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "89.75.Hc",
      "05.50.+q",
      "64.60.aq"
    ],
    "keywords": [
      "q-state potts model",
      "apollonian network",
      "monte carlo simulations",
      "transfer matrix method",
      "thermodynamic limit"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2010,
      "month": "Oct",
      "volume": 82,
      "number": 4,
      "pages": "046109"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvE..82d6109A"
    }
  }
}