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 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.

10 pages, 26 references

References in corpus (3)

• Jeans criterion and nonextensive velocity distribution function in kinetic theory
• Jeans criterion in nonextensive statistical mechanics
• An additive variant of Tsallis generalized entropy

Cited by in corpus (63)

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• The dual formalisms of nonextensive thermodynamics for open systems with maximum entropy principle
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