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arxiv: astro-ph/0406271 · v2 · pith:7AVYT4KAnew · submitted 2004-06-10 · 🌌 astro-ph · cond-mat.stat-mech

The hydrostatic equilibrium and Tsallis equilibrium for self-gravitating systems

classification 🌌 astro-ph cond-mat.stat-mech
keywords systemsequilibriumself-gravitatingtsallishydrostaticgravitationallong-rangenature
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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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