{ "id": "cond-mat/0209635", "version": "v2", "published": "2002-09-27T09:23:23.000Z", "updated": "2002-10-17T15:44:16.000Z", "title": "Derivation of Tsallis statistics from dynamical equations for a granular gas", "authors": [ "F. Sattin" ], "comment": "14 pages. An appendix added", "journal": "J. Phys. A: Math. Gen. 36 (2003) 1583-1591", "doi": "10.1088/0305-4470/36/6/304", "categories": [ "cond-mat.stat-mech" ], "abstract": "In this work we present the explicit calculation of Probability Distribution Function for a model system of granular gas within the framework of Tsallis Non-Extensive Statistical Mechanics, using the stochastic approach by Beck [C. Beck, Phys. Rev. Lett. 87, 180601 (2001)], further generalized by Sattin and Salasnich [F. Sattin and L. Salasnich, Phys. Rev. E 65, 035106(R) (2002)]. The calculation is self-consistent in that the form of Probability Distribution Function is not given as an ansatz but is shown to necessarily arise from the known microscopic dynamics of the system.", "revisions": [ { "version": "v2", "updated": "2002-10-17T15:44:16.000Z" } ], "analyses": { "keywords": [ "granular gas", "tsallis statistics", "dynamical equations", "probability distribution function", "derivation" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }