{
  "id": "1601.06968",
  "version": "v1",
  "published": "2016-01-26T10:37:20.000Z",
  "updated": "2016-01-26T10:37:20.000Z",
  "title": "Stochastic dynamics of N correlated binary variables and non-extensive statistical mechanics",
  "authors": [
    "A. Kononovicius",
    "J. Ruseckas"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The non-extensive statistical mechanics has been applied to describe a variety of complex systems with inherent correlations and feedback loops. Here we present a dynamical model based on previously proposed static model exhibiting in the thermodynamic limit the extensivity of the Tsallis entropy with q<1 as well as a q-Gaussian distribution. The dynamical model consists of a one-dimensional ring of particles characterized by correlated binary random variables, which are allowed to flip according to a simple random walk rule. The proposed dynamical model provides an insight how a mesoscopic dynamics characterized by the non-extensive statistical mechanics could emerge from a microscopic description of the system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-26T10:37:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-extensive statistical mechanics",
      "correlated binary variables",
      "stochastic dynamics",
      "dynamical model",
      "simple random walk rule"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}