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arXiv · 2410.21860

Isothermal spheres from grand partition functions in nonextensive statistical mechanics

Nahomi Kan·Takuya Maki·Kiyoshi Shiraishi
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Abstract

We analytically study isothermal spheres in the light of nonextensive statistical mechanics. The equations for the isothermal spheres are derived from the grand partition function of the gravitating particle system in the Tsallis statistical mechanics. The effect of nonextensive statistics appears in relatively dense state, which appears at the center of the isothermal sphere. The stability of the isothermal sphere in the general relativistic system is found to be sensitive to the parameter q in the Tsallis statistics.

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Nahomi Kan, Takuya Maki, Kiyoshi Shiraishi. 2024-10-29. Isothermal spheres from grand partition functions in nonextensive statistical mechanics. https://arxiv.org/abs/2410.21860

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