{
  "id": "1009.4301",
  "version": "v1",
  "published": "2010-09-22T08:56:40.000Z",
  "updated": "2010-09-22T08:56:40.000Z",
  "title": "Thermodynamic Geometry of Fractional Statistics",
  "authors": [
    "Behrouz Mirza",
    "Hosein Mohammadzadeh"
  ],
  "comment": "29 pages, 12 figures",
  "journal": "Phys.Rev.E82:031137,2010",
  "doi": "10.1103/PhysRevE.82.031137",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.quant-gas"
  ],
  "abstract": "We extend our earlier study about the fractional exclusion statistics to higher dimensions in full physical range and in the non-relativistic and ultra-relativistic limits. Also, two other fractional statistics, namely Gentile and Polychronakos fractional statistics, will be considered and similarities and differences between these statistics will be explored. Thermodynamic geometry suggests that a two dimensional Haldane fractional exclusion gas is more stable than higher dimensional gases. Also, a complete picture of attractive and repulsive statistical interaction of fractional statistics is given. For a special kind of fractional statistics, by considering the singular points of thermodynamic curvature, we find a condensation for a non-pure bosonic system which is similar to the Bose-Einstein condensation and the phase transition temperature will be worked out.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-22T08:56:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "67.10.Fj",
      "05.20.-y"
    ],
    "keywords": [
      "thermodynamic geometry",
      "dimensional haldane fractional exclusion gas",
      "fractional exclusion statistics",
      "polychronakos fractional statistics",
      "higher dimensional gases"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2010,
      "month": "Sep",
      "volume": 82,
      "number": 3,
      "pages": "031137"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 870810,
      "adsabs": "2010PhRvE..82c1137M"
    }
  }
}