{
  "id": "math-ph/0510021",
  "version": "v2",
  "published": "2005-10-06T10:54:04.000Z",
  "updated": "2006-02-25T20:04:05.000Z",
  "title": "On Uniqueness of Gibbs Measures for $P$-Adic Nonhomogeneous $ł$-Model on the Cayley Tree",
  "authors": [
    "Murod Khamraev",
    "Farrukh Mukhamedov",
    "Utkir Rozikov"
  ],
  "comment": "12 pages",
  "journal": "Lett. Math. Phys. 70(2004), 17--28",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a nearest-neighbor $p$-adic $\\l$-model with spin values $\\pm 1$ on a Cayley tree of order $k\\geq 1$. We prove for the model there is no phase transition and as well as the unique $p$-adic Gibbs measure is bounded if and only if $p\\geq 3$. If $p=2$ then we find a condition which guarantees nonexistence of a phase transition. Besides, the results are applied to the $p$-adic Ising model and we show that for the model there is a unique $p$-adic Gibbs measure.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-02-25T20:04:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46S10",
      "82B26",
      "12J12"
    ],
    "keywords": [
      "cayley tree",
      "adic nonhomogeneous",
      "adic gibbs measure",
      "phase transition",
      "uniqueness"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s11005-004-3500-7"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 868075
    }
  }
}