Gravothermal catastrophe and Tsallis' generalized entropy of self-gravitating systems

DOI10.1016/S0378-4371(01)00622-7zbMath0994.85001arXivcond-mat/0107494OpenAlexW2949760821MaRDI QIDQ1596594

Masa-aki Sakagami, Atsushi Taruya

Publication date: 2 May 2002

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0107494

zbMATH Keywords

critical pointstellar systemVlassov-Poisson system distribution function

Mathematics Subject Classification ID

Celestial mechanics (70F15) Galactic and stellar dynamics (85A05)

Related Items (12)

STRANGE MATTER AND STRANGE STARS WITH TSALLIS STATISTICS ⋮ Thermodynamic stability criterion and fluctuation theory in nonextensive thermodynamics ⋮ What does the nonextensive parameter stand for in self-gravitating systems? ⋮ Inhomogeneous Tsallis distributions in the HMF model ⋮ Ion acoustic solitary waves in a weakly relativistic plasma with \(q\)-nonextensive electrons and thermal positrons ⋮ Nonextensivity and the power-law distributions for the systems with self-gravitating long-range interactions ⋮ The spacetime associated with galactic dark matter halos ⋮ Electrostatic waves in a magnetized plasma with nonextensive distribution ⋮ The stationary state and gravitational temperature in a pure self-gravitating system ⋮ Special Features of Galactic Dynamics ⋮ GENERALIZATION OF THE MEAN-FIELD METHOD FOR POWER-LAW DISTRIBUTIONS ⋮ Gravothermal catastrophe and Tsallis' generalized entropy of self-gravitating systems. II: Thermodynamic properties of stellar polytrope

Cites Work

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• Analysis of turbulence by statistics based on generalized entropies
• Nonextensive statistical mechanics and its applications. Papers from the IMS winter school on statistical mechanics: nonextensive generalization of Boltzmann-Gibbs statistical mechanics and its applications, Okazaki, Japan, February 15--18, 1999

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