Derivation of Tsallis statistics from dynamical equations for a granular gas

F. Sattin

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10 Citations (Scopus)

Abstract

In this paper we present the explicit calculation of the velocity probability distribution function P(v) for a model system of granular gas within the framework of Tsallis non-extensive statistical mechanics, using the stochastic approach by Beck (2001 Phys. Rev. Lett. 87 180601), further generalized by Sattin and Salasnich (2002 Phys. Rev. E 65 035106(R)). The calculation is self-consistent in that the form of P(v) is not given as an ansatz but is shown to necessarily arise from the known microscopic dynamics of the system.
Original languageEnglish
Pages (from-to)1583 - 1591
Number of pages9
JournalJournal of Physics A: Mathematical and General
Volume36
Issue number6
DOIs
Publication statusPublished - 14 Feb 2003
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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