{
  "id": "cond-mat/0312500",
  "version": "v1",
  "published": "2003-12-18T21:31:18.000Z",
  "updated": "2003-12-18T21:31:18.000Z",
  "title": "Dynamical scenario for nonextensive statistical mechanics",
  "authors": [
    "Constantino Tsallis"
  ],
  "comment": "Invited paper at the Second Sardinian International Conference on \"News and Expectations in Thermostatistics\" held in Villasimius (Cagliari)- Italy in 21-28 September 2003. 12 pages including 2 figures",
  "doi": "10.1016/j.physa.2004.03.072",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Statistical mechanics can only be ultimately justified in terms of microscopic dynamics (classical, quantum, relativistic, or any other). It is known that Boltzmann-Gibbs statistics is based on the hypothesis of exponential sensitivity to the initial conditions, mixing and ergodicity in Gibbs $\\Gamma$-space. What are the corresponding hypothesis for nonextensive statistical mechanics? A scenario for answering such question is advanced, which naturally includes the {\\it a priori} determination of the entropic index $q$, as well as its cause and manifestations, for say many-body Hamiltonian systems, in (i) sensitivity to the initial conditions in Gibbs $\\Gamma$-space, (ii) relaxation of macroscopic quantities towards their values in anomalous stationary states that differ from the usual thermal equilibrium (e.g., in some classes of metastable or quasi-stationary states), and (iii) energy distribution in the $\\Gamma$-space for the same anomalous stationary states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-18T21:31:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonextensive statistical mechanics",
      "dynamical scenario",
      "anomalous stationary states",
      "initial conditions",
      "many-body hamiltonian systems"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}