What does the nonextensive parameter q stand for in self-gravitating systems ?

Abstract

It is natural important question for us to ask what the nonextensive parameter stands for when Tsallis statistics is applied to the self-gravitating systems. In this paper, some properties of the nonextensive parameter and Tsallis equilibrium distribution for the self-gravitating system are discussed in the framework of nonextensive kinetic theory. On the basis of the solid mathematical foundation, the nonextensive parameter can be expressed by a formula with temperature gradient and the gravitational potential and can be presented the physical meaning with regard to the non-isothermal (nonequilibrium stationary state) nature of the systems with long-range interactions. We come to the conclusion that Tsallis equilibrium distribution is corresponding to the physical state of self-gravitating system at the hydrostatic equilibrium.

11 pages, 25 references. The Twelfth United Nations/European Space Agency workshop on basic space science. May 24-28 2004, Beijing, China

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• The nonextensive parameter and Tsallis distribution for self-gravitating systems
• Jeans criterion and nonextensive velocity distribution function in kinetic theory
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