Derivation of Tsallis statistics from dynamical equations for a granular gas
统计力学
2009-11-07 v2
摘要
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.
引用
@article{arxiv.cond-mat/0209635,
title = {Derivation of Tsallis statistics from dynamical equations for a granular gas},
author = {F. Sattin},
journal= {arXiv preprint arXiv:cond-mat/0209635},
year = {2009}
}
备注
14 pages. An appendix added