The nonextensive parameter and Tsallis distribution for self-gravitating systems
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 ≠ 1 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 long-range interactions.
- Publication:
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EPL (Europhysics Letters)
- Pub Date:
- September 2004
- DOI:
- 10.1209/epl/i2004-10145-2
- arXiv:
- arXiv:cond-mat/0409480
- Bibcode:
- 2004EL.....67..893J
- Keywords:
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- Condensed Matter - Statistical Mechanics;
- Astrophysics
- E-Print:
- 10 pages, 26 references