{
  "id": "cond-mat/9907458",
  "version": "v1",
  "published": "1999-07-29T14:18:28.000Z",
  "updated": "1999-07-29T14:18:28.000Z",
  "title": "Non-extensive thermodynamics and stationary processes of localization",
  "authors": [
    "Leone Fronzoni",
    "Paolo Grigolini",
    "Simone Montangero"
  ],
  "comment": "7 pages, 4 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We focus our attention on dynamical processes characterized by an entropic index Q<1. According to the probabilistic arguments of Tsallis and Bukman [C.Tsallis, D.J. Bukman, Phys. Rev. E 54,R2197 (1996)] these processes are subdiffusional in nature. The non-extensive generalization of the Kolmogorov-Sinai entropy yielding the same entropic index implies the stationary condition. We note, on the other hand, that enforcing the stationary property on subdiffusion has the effect of producing a localization process occurring within a finite time scale. We thus conclude that the stationary dynamic processes with Q<1 must undergo a localization process occurring at finite time. We check the validity of this conclusion by means of a numerical treatment of the dynamics of the logistic map at the critical point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-07-29T14:18:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stationary processes",
      "non-extensive thermodynamics",
      "localization process occurring",
      "finite time scale",
      "stationary dynamic processes"
    ],
    "publication": {
      "doi": "10.1016/S0960-0779(99)00163-0",
      "journal": "Chaos Solitons and Fractals",
      "year": 2000,
      "month": "Nov",
      "volume": 11,
      "number": 14,
      "pages": 2361
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000CSF....11.2361F"
    }
  }
}