{
  "id": "0804.3735",
  "version": "v1",
  "published": "2008-04-23T15:21:05.000Z",
  "updated": "2008-04-23T15:21:05.000Z",
  "title": "Energy fluctuations and the ensemble equivalence in Tsallis statistics",
  "authors": [
    "Liu Liyan",
    "Du Jiulin"
  ],
  "comment": "6 pages, 21 references",
  "journal": "Physica A 387(2008)5417-5421",
  "doi": "10.1016/j.physa.2008.05.028",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We investigate the general property of the energy fluctuation for the canonical ensemble in Tsallis statistics and the ensemble equivalence. By taking the ideal gas and the non-interacting harmonic oscillators as examples, we show that, when the particle number N is large enough, the relative fluctuation of the energy is proportional to 1/N in the new statistics, instead of square root of 1/N in Boltzmann-Gibbs statistics. Thus the equivalence between the microcanonical and the canonical ensemble still holds in Tsallis statistics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-23T15:21:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tsallis statistics",
      "energy fluctuation",
      "ensemble equivalence",
      "square root",
      "non-interacting harmonic oscillators"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physica A Statistical Mechanics and its Applications",
      "year": 2008,
      "month": "Sep",
      "volume": 387,
      "number": 22,
      "pages": 5417
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhyA..387.5417L"
    }
  }
}