{
  "id": "1402.1581",
  "version": "v2",
  "published": "2014-02-07T09:56:18.000Z",
  "updated": "2014-06-10T09:55:49.000Z",
  "title": "Mean-field theory is exact for the random-field model with long-range interactions",
  "authors": [
    "Junichi Tsuda",
    "Hidetoshi Nishimori"
  ],
  "comment": "15pages, 1 figure To be published in J. Phys. Soc. Jpn",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the random-field Ising model with long-range interactions and show the exactness of the mean-field theory under certain mild conditions. This is a generalization of the result of Mori for the non-random and spin-glass cases. To treat random fields, we evoke the self-averaging property of a function of random fields, without recourse to the replica method. The result is that the mean-field theory gives the exact expression of the canonical free energy for systems with power-decaying interactions if the power is smaller than or equal to the spatial dimension.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-10T09:55:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mean-field theory",
      "long-range interactions",
      "random-field model",
      "treat random fields",
      "spatial dimension"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.7566/JPSJ.83.074002",
      "journal": "Journal of the Physical Society of Japan",
      "year": 2014,
      "month": "Jul",
      "volume": 83,
      "number": 7,
      "pages": "074002"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014JPSJ...83g4002T"
    }
  }
}