Stability analysis of generalized entropies and \(q\)-exponential distributions

DOI10.1016/J.PHYSD.2004.01.011zbMath1062.82025OpenAlexW2043635004MaRDI QIDQ1888077

Sumiyoshi Abe

Publication date: 22 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.physd.2004.01.011

zbMATH Keywords

Tsallis entropygeneralized entropy functional

Mathematics Subject Classification ID

Foundations of time-dependent statistical mechanics (82C03) Measures of information, entropy (94A17) Basic hypergeometric functions (33D99)

Related Items (2)

Geometry of the \(q\)-exponential distribution with dependent competing risks and accelerated life testing ⋮ The minimal length uncertainty and the nonextensive thermodynamics

Cites Work

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• Microcanonical foundation for systems with power-law distributions
• Implications of Form Invariance to the Structure of Nonextensive 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
• Statistical mechanical foundations for systems with nonexponential distributions
• Macroscopic thermodynamics based on composable nonextensive entropies
• Application of nonextensive statistics to particle and nuclear physics

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