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The nonextensive parameter and Tsallis distribution for self-gravitating systems

Jiulin Du
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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.

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Jiulin Du. 2004-09-18. The nonextensive parameter and Tsallis distribution for self-gravitating systems. https://doi.org/10.1209/epl%2Fi2004-10145-2

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