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Self-gravitating Stellar Systems and Non-extensive Thermostatistics

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arxiv cond-mat/0310082 v3 pith:BEFIBN5P submitted 2003-10-04 cond-mat.stat-mech astro-phgr-qc

Masa-aki Sakagami , Atsushi Taruya This is my paper · ORCID
classification cond-mat.stat-mechastro-phgr-qc
keywords self-gravitatingstellarentropysystemsthermodynamictsallisanalysisapplication
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After introducing the fundamental properties of self-gravitating systems, we present an application of Tsallis' generalized entropy to the analysis of their thermodynamic nature. By extremizing the Tsallis entropy, we obtain an equation of state known as the stellar polytrope. For a self-gravitating stellar system confined within a perfectly reflecting wall, we discuss the thermodynamic instability caused by its negative specific heat. The role of the extremum as a quasi-equilibrium is also demonstrated from the results of N-body simulations.

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  1. Black Hole Thermodynamics via Tsallis Statistical Mechanics

    gr-qc 2025-02 conditional novelty 6.0 of 10

    The authors derive a q-modified black hole entropy from Tsallis statistics applied to a near-horizon gas and show that a negative non-extensive parameter can stabilize a Schwarzschild black hole.

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