Gravothermal catastrophe and Tsallis' generalized entropy of self-gravitating systems. III: Quasi-equilibrium structure using normalized \(q\)-values

DOI10.1016/S0378-4371(03)00039-6zbMath1028.85001arXivcond-mat/0211305OpenAlexW2061708542MaRDI QIDQ1866942

Masa-aki Sakagami, Atsushi Taruya

Publication date: 23 April 2003

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0211305

zbMATH Keywords

thermodynamic stabilitythermal baththermodynamic property

Mathematics Subject Classification ID

Celestial mechanics (70F15) Galactic and stellar dynamics (85A05) Statistical thermodynamics (82B30)

Related Items (8)

Why \(q\)-expectation values must be used in nonextensive statistical mechanics ⋮ Inhomogeneous Tsallis distributions in the HMF model ⋮ Negative heat capacity and non-extensive kinetic theory ⋮ Theoretical self-consistency in nonextensive statistical mechanics with parameter transformation ⋮ Phase transition for the system of finite volume in the ϕ4 theory in the Tsallis nonextensive statistics ⋮ Scaling relations in equilibrium nonextensive thermostatistics ⋮ The spacetime associated with galactic dark matter halos ⋮ PHASE TRANSITIONS IN SELF-GRAVITATING SYSTEMS

Cites Work

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• On the universality of thermodynamics' Legendre transform structure
• Gravitational instability of finite isothermal spheres
• Nonextensive thermodynamic relations
• Thermodynamics' zeroth law in a nonextensive scenario
• Heat and entropy in nonextensive thermodynamics: transmutation from Tsallis theory to Rényi-entropy-based theory
• 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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