Derivation of Tsallis statistics from dynamical equations for a granular gas
arXiv:cond-mat/0209635 · doi:10.1088/0305-4470/36/6/304
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.
arXiv comment14 pages. An appendix added
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