H-theorems based upon a generalized, power law-like divergence

DOI10.1016/j.physleta.2010.05.069zbMath1238.82026OpenAlexW2030196568MaRDI QIDQ420310

Takuya Yamano

Publication date: 22 May 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.05.069

zbMATH Keywords

Fokker-Planck equationmaster equationH-theoremgeneralized Kullback-Leibler divergence

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Measures of information, entropy (94A17)

Related Items (2)

Universality classes for the Fisher metric derived from relative group entropy ⋮ Phase space gradient of dissipated work and information: A role of relative Fisher information

Cites Work

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• The Fokker-Planck equation. Methods of solution and applications.
• Possible generalization of Boltzmann-Gibbs statistics.
• A generalization of the Kullback–Leibler divergence and its properties
• H-Theorem with Generalized Relative Entropies and the Tsallis Statistics
• Erratum: “Information gain within generalized thermostatistics” [J. Math. Phys. 39, 6490 (1998)]
• On Information and Sufficiency
• H-theorem and generalized entropies within the framework of nonlinear kinetics

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