On nonlinear and nonextensive diffusion and the second law of thermodynamics

DOI10.1016/S0375-9601(00)00127-4zbMath0942.82025MaRDI QIDQ1574793

Till D. Frank

Publication date: 13 August 2000

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

zbMATH Keywords

nonlinear diffusion processesnonlinear Fokker-Planck equationnonlinear master equationscanonical ensemble correspondence

Mathematics Subject Classification ID

Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

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Anomalous diffusion coupled with Verhulst-like growth dynamics: exact time-dependent solutions ⋮ On a general link between anomalous diffusion and nonextensivity ⋮ Non-linear kinetics underlying generalized statistics ⋮ \(H\)-theorem for nonlinear Fokker-Planck equations related to generalized thermostatistics ⋮ Renormalization group approach to nonextensive statistical mechanics ⋮ A general nonlinear Fokker-Planck equation and its associated entropy ⋮ H-theorem and generalized entropies within the framework of nonlinear kinetics ⋮ Lyapunov and free energy functionals of generalized Fokker-Planck equations ⋮ Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics ⋮ Generalized multivariate Fokker-Planck equations derived from kinetic transport theory and linear nonequilibrium thermodynamics ⋮ H-theorem for Fokker-Planck equations with drifts depending on process mean values ⋮ Quantum evolution of power-law mixed states ⋮ Generalized Fokker-Planck equations derived from generalized linear nonequilibrium thermodynamics ⋮ Interpretation of Lagrange multipliers of generalized maximum-entropy distributions

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