{
  "id": "cond-mat/0110286",
  "version": "v1",
  "published": "2001-10-15T08:20:34.000Z",
  "updated": "2001-10-15T08:20:34.000Z",
  "title": "New order parameters in the Potts model on a Cayley tree",
  "authors": [
    "F. Wagner",
    "D. Grensing",
    "J. Heide"
  ],
  "comment": "16 pages TeX, 5 figures PostScript",
  "doi": "10.1088/0305-4470/34/50/308",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "For the $q-$state Potts model new order parameters projecting on a group of spins instead of a single spin are introduced. On a Cayley tree this allows the physical interpretation of the Potts model at noninteger values q of the number of states. The model can be solved recursively. This recursion exhibits chaotic behaviour changing qualitatively at critical values of $q_0$ . Using an additional order parameter belonging to a group of zero extrapolated size the additional ordering is related to a percolation problem. This percolation distinguishes different phases and explains the critical indices of percolation class occuring at the Peierls temperature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-10-15T08:20:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cayley tree",
      "state potts model",
      "noninteger values",
      "chaotic behaviour",
      "peierls temperature"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}