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The hydrostatic equilibrium and Tsallis equilibrium for self-gravitating systems

Jiulin Du
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Abstract

Self-gravitating systems are generally thought to behavior non-extensively due to the long-range nature of gravitational forces. We obtain a relation between the nonextensive parameter q of Tsallis statistics, the temperature gradient and the gravitational potential based on the equation of hydrostatic equilibrium of self-gravitating systems. It is suggested that the nonextensive parameter in Tsallis statistics has a clear physical meaning with regard to the non-isothermal nature of the systems with long-range interactions and Tsallis equilibrium distribution for the self-gravitating systems describes the property of hydrostatic equilibrium of the systems.

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Jiulin Du. 2005-03-25. The hydrostatic equilibrium and Tsallis equilibrium for self-gravitating systems. https://doi.org/10.2478/bf02475644

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