Isothermal spheres from grand partition functions in nonextensive statistical mechanics
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911170043052032 |
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| author | Kan, Nahomi Maki, Takuya Shiraishi, Kiyoshi |
| author_facet | Kan, Nahomi Maki, Takuya Shiraishi, Kiyoshi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21860 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Isothermal spheres from grand partition functions in nonextensive statistical mechanics Kan, Nahomi Maki, Takuya Shiraishi, Kiyoshi General Relativity and Quantum Cosmology Statistical Mechanics 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. |
| title | Isothermal spheres from grand partition functions in nonextensive statistical mechanics |
| topic | General Relativity and Quantum Cosmology Statistical Mechanics |
| url | https://arxiv.org/abs/2410.21860 |