{
  "id": "cond-mat/0306167",
  "version": "v2",
  "published": "2003-06-06T13:10:55.000Z",
  "updated": "2005-02-08T17:25:33.000Z",
  "title": "Percolation on the average and spontaneous magnetization for q-states Potts model on graph",
  "authors": [
    "Alessandro Vezzani"
  ],
  "journal": "J. Phys. A 37 (2004) 77-83",
  "doi": "10.1088/0305-4470/37/1/005",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We prove that the q-states Potts model on graph is spontaneously magnetized at finite temperature if and only if the graph presents percolation on the average. Percolation on the average is a combinatorial problem defined by averaging over all the sites of the graph the probability of belonging to a cluster of a given size. In the paper we obtain an inequality between this average probability and the average magnetization, which is a typical extensive function describing the thermodynamic behaviour of the model.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-02-08T17:25:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "q-states potts model",
      "spontaneous magnetization",
      "percolation",
      "thermodynamic behaviour",
      "finite temperature"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2004,
      "month": "Jan",
      "volume": 37,
      "number": 1,
      "pages": 77
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004JPhA...37...77V"
    }
  }
}