Single particle dynamics of many-body systems described by Vlasov-Fokker-Planck equations

DOI10.1016/j.physleta.2003.10.001zbMath1073.82591OpenAlexW2024765722MaRDI QIDQ1413473

Till D. Frank

Publication date: 16 November 2003

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2003.10.001

zbMATH Keywords

random walkLangevin equationsHaissinski distributions

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

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Cites Work

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• The Fokker-Planck equation. Methods of solution and applications.
• Generalized multivariate Fokker-Planck equations derived from kinetic transport theory and linear nonequilibrium thermodynamics
• A note on the Markov property of stochastic processes described by nonlinear Fokker-Planck equations
• A quantitative test of Gibbs' statistical mechanics
• H-theorem for a mean field model describing coupled oscillator systems under external forces
• H-theorem and generalized entropies within the framework of nonlinear kinetics
• Lyapunov and free energy functionals of generalized Fokker-Planck equations
• A Langevin approach for the microscopic dynamics of nonlinear Fokker-Planck equations

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