{
  "id": "1007.4491",
  "version": "v1",
  "published": "2010-07-26T15:59:36.000Z",
  "updated": "2010-07-26T15:59:36.000Z",
  "title": "Stochastic simulations for the time evolution of systems which obey generalized statistics: Fractional exclusion statistics and Gentile's statistics",
  "authors": [
    "George Alexandru Nemnes",
    "Dragos-Victor Anghel"
  ],
  "comment": "14 pages, 5 figures, IOP format",
  "journal": "J. Stat. Mech. P09011 (2010)",
  "doi": "10.1088/1742-5468/2010/09/P09011",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.quant-gas",
    "physics.comp-ph"
  ],
  "abstract": "We present a stochastic method for the simulation of the time evolution in systems which obey generalized statistics, namely fractional exclusion statistics and Gentile's statistics. The transition rates are derived in the framework of canonical ensembles. This approach introduces a tool for describing interacting fermionic and bosonic systems in non-equilibrium as ideal FES systems, in a computationally efficient manner. The two types of statistics are analyzed comparatively, indicating their intrinsic thermodynamic differences and revealing key aspects related to the species size.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-26T15:59:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional exclusion statistics",
      "obey generalized statistics",
      "gentiles statistics",
      "time evolution",
      "stochastic simulations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2010,
      "month": "Sep",
      "volume": 2010,
      "number": 9,
      "pages": 9011
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JSMTE..09..011N"
    }
  }
}