Self-gravitating stellar systems and non-extensive thermostatistics

Sakagami, M.; Taruya, A.
March 2004
Continuum Mechanics & Thermodynamics;Mar2004, Vol. 16 Issue 3, p279
Academic Journal
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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