The nonextensive parameter and Tsallis distribution for selfgravitating systems
Abstract
The properties of the nonextensive parameter q and the Tsallis distribution for selfgravitating systems are studied. A mathematical expression of q is deduced based on the generalized Boltzmann equation, the qH theorem and the generalized Maxwellian qvelocity 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 selfgravitating systems. It is suggested that the Tsallis statistics could be statistics suitable for describing the nonequilibrium systems with inhomogeneous temperature and longrange interactions.
 Publication:

EPL (Europhysics Letters)
 Pub Date:
 September 2004
 DOI:
 10.1209/epl/i2004101452
 arXiv:
 arXiv:condmat/0409480
 Bibcode:
 2004EL.....67..893J
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Astrophysics
 EPrint:
 10 pages, 26 references