{
  "id": "1503.03778",
  "version": "v1",
  "published": "2015-03-12T15:42:18.000Z",
  "updated": "2015-03-12T15:42:18.000Z",
  "title": "Canonical Ensemble in Non-extensive Statistical Mechanics",
  "authors": [
    "Julius Ruseckas"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The framework of non-extensive statistical mechanics, proposed by Tsallis, has been used to describe a variety of systems. However, the non-extensive statistical mechanics is usually introduced in a formal way, using the maximization of entropy. This procedure can leave physical principles unclear. In this article we investigate the canonical ensemble in the non-extensive statistical mechanics using a more traditional way, by considering a small system interacting with a large reservoir via short-range forces. The reservoir is characterized by generalized entropy instead of the Boltzmann-Gibbs entropy. Assuming equal probabilities for all available microstates we derive the equations of the non-extensive statistical mechanics. Such a procedure can provide deeper insight into applicability of the non-extensive statistics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-12T15:42:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-extensive statistical mechanics",
      "canonical ensemble",
      "leave physical principles unclear",
      "formal way",
      "traditional way"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}