{
  "id": "1109.6366",
  "version": "v2",
  "published": "2011-09-28T23:04:51.000Z",
  "updated": "2011-11-08T00:57:07.000Z",
  "title": "Ensemble Inequivalence and the Spin-Glass Transition",
  "authors": [
    "Zsolt Bertalan",
    "Kazutaka Takahashi"
  ],
  "comment": "19 pages, 7 figures",
  "journal": "J. Stat. Mech. (2011) P11022",
  "doi": "10.1088/1742-5468/2011/11/P11022",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We report on the ensemble inequivalence in a many-body spin-glass model with integer spin. The spin-glass phase transition is of first order for certain values of the crystal field strength and is dependent whether it was derived in the microcanonical or the canonical ensemble. In the limit of infinitely many-body interactions, the model is the integer-spin equivalent of the random-energy model, and is solved exactly. We also derive the integer-spin equivalent of the de Almeida-Thouless line.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-11-08T00:57:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ensemble inequivalence",
      "spin-glass transition",
      "integer-spin equivalent",
      "many-body spin-glass model",
      "spin-glass phase transition"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2011,
      "month": "Nov",
      "volume": 2011,
      "number": 11,
      "pages": 11022
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JSMTE..11..022B"
    }
  }
}