Self-gravitating Stellar Systems and Non-extensive Thermostatistics

Details Self-gravitating Stellar Systems and Non-extensive Thermostatistics Self-gravitating Stellar Systems and Non-extensive Thermostatistics

2003-10-04

arxiv.org/abs/cond-mat/0310082v3

Continuum Mechanics and Thermodynamics 16 (2004) 279-292

Physics

Condensed Matter

Statistical Mechanics

15 pages, 8 figures, final version to apper in CMT

Scientific paper

10.1007/s00161-003-0168-7

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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