Parametric solution method for self-consistency equations and order parameter equations derived from nonlinear Fokker-Planck equations

DOI10.1016/j.physd.2009.04.003zbMath1167.82354OpenAlexW1971366573MaRDI QIDQ833186

S. Mongkolsakulvong, Till D. Frank

Publication date: 12 August 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2009.04.003

zbMATH Keywords

order parametersbifurcation diagramsparametric representationself-consistency equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) PDEs in connection with quantum mechanics (35Q40) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

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Cites Work

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• Chemical oscillations, waves, and turbulence
• Phase resetting in medicine and biology. Stochastic modelling and data analysis
• Single particle dynamics of many-body systems described by Vlasov-Fokker-Planck equations
• From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
• Generalized multivariate Fokker-Planck equations derived from kinetic transport theory and linear nonequilibrium thermodynamics
• Possible generalization of Boltzmann-Gibbs statistics.
• Nonlinear Fokker-Planck equations. Fundamentals and applications.
• Microscopic equation for growing interfaces in quenched disordered media
• Propagation of elastic waves in liquid crystals