A general nonlinear Fokker-Planck equation and its associated entropy

DOI10.1140/epjb/e2007-00217-1zbMath1189.82090arXiv0704.0465OpenAlexW2126482060MaRDI QIDQ978782

Evaldo M. F. Curado, Fernando D. Nobre, Veit Schwämmle

Publication date: 25 June 2010

Published in: The European Physical Journal B. Condensed Matter and Complex Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.0465

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fokker-Planck equations (35Q84)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A general nonlinear Fokker-Planck equation and its associated entropy
• The Fokker-Planck equation. Methods of solution and applications.
• On nonlinear and nonextensive diffusion and the second law of thermodynamics
• Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics
• Possible generalization of Boltzmann-Gibbs statistics.
• A quantitative test of Gibbs' statistical mechanics
• A family of nonextensive entropies
• Distributions and channel capacities in generalized statistical mechanics
• A note on the \(q\)-deformation-theoretic aspect of the generalized entropies in nonextensive physics
• Nonlinear Fokker-Planck equations. Fundamentals and applications.
• Free energies based on generalized entropies and H-theorems for nonlinear Fokker–Planck equations
• Maximum entropy approach to stretched exponential probability distributions
• Non-equilibrium thermodynamics and anomalous diffusion
• Information gain within nonextensive thermostatistics
• Non-linear kinetics underlying generalized statistics
• \(H\)-theorem for nonlinear Fokker-Planck equations related to generalized thermostatistics
• A Langevin approach for the microscopic dynamics of nonlinear Fokker-Planck equations

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