Free energies based on generalized entropies and H-theorems for nonlinear Fokker–Planck equations

DOI10.1063/1.1367327zbMath1061.82022OpenAlexW2010625223MaRDI QIDQ2774915

Masatoshi Shiino

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1367327

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

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Cites Work

• Possible generalization of Boltzmann-Gibbs statistics.
• Non-equilibrium thermodynamics and anomalous diffusion
• H-Theorem with Generalized Relative Entropies and the Tsallis Statistics
• Information gain within nonextensive thermostatistics
• Generalized information functions
• On Information and Sufficiency
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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