{
  "id": "1909.12816",
  "version": "v1",
  "published": "2019-09-27T17:38:20.000Z",
  "updated": "2019-09-27T17:38:20.000Z",
  "title": "Fluctuation theorems in nonextensive statistics",
  "authors": [
    "Haridas Umpierrez",
    "Sergio Davis"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Nonextensive statistics is a formalism of statistical mechanics that describes the ocurrence of power-law distributions in complex systems, particularly the so-called $q$ exponential family of distributions. In this work we present the use of fluctuation theorems for $q$-canonical ensembles as a powerful tool to readily obtain statistical properties. In particular, we have obtained strong conditions for the possible values of $q$ depending on the density of states of the system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-27T17:38:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fluctuation theorems",
      "nonextensive statistics",
      "strong conditions",
      "complex systems",
      "power-law distributions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}