The nonextensive parameter and Tsallis distribution for self-gravitating systems
Statistical Mechanics
2015-08-10 v1 Astrophysics
Abstract
The properties of the nonextensive parameter q and the Tsallis distribution for self-gravitating systems are studied. A mathematical expression of q is deduced based on the generalized Boltzmann equation, the q-H theorem and the generalized Maxwellian q-velocity distribution in the framework of Tsallis statistics. We obtain a clear understanding of the physics of q different from unity with regard to the temperature gradient and the gravitational potential of the self-gravitating systems. It is suggested that the Tsallis statistics could be statistics suitable for describing the nonequilibrium systems with inhomogeneous temperature and the long-range interactions.
Cite
@article{arxiv.cond-mat/0409480,
title = {The nonextensive parameter and Tsallis distribution for self-gravitating systems},
author = {Jiulin Du},
journal= {arXiv preprint arXiv:cond-mat/0409480},
year = {2015}
}
Comments
10 pages, 26 references