{
  "id": "math-ph/0510022",
  "version": "v1",
  "published": "2005-10-06T11:02:55.000Z",
  "updated": "2005-10-06T11:02:55.000Z",
  "title": "On some remarks on the Ising model with competing interactions on a Cayley tree",
  "authors": [
    "Farrukh Mukhamedov",
    "Utkir Rozikov"
  ],
  "comment": "12 pages. submitted",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In the present paper the Ising model with competing binary $J$ and $J_1$ interactions with spin values $\\pm 1$, on a Cayley tree is considered. We study translation-invatiant Gibbs measures and corresponding free energies ones.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-06T11:02:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B20"
    ],
    "keywords": [
      "cayley tree",
      "ising model",
      "competing interactions",
      "study translation-invatiant gibbs measures",
      "corresponding free energies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.ph..10022M"
    }
  }
}