Dynamic mean field models: H-theorem for stochastic processes and basins of attraction of stationary processes

DOI10.1016/j.physd.2004.03.014zbMath1098.82610OpenAlexW1983875203MaRDI QIDQ1886986

Till D. Frank

Publication date: 23 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.physd.2004.03.014

zbMATH Keywords

Mean fieldFokker--Planck equationsH-theorems

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Related Items (6)

Fluctuation-dissipation theorems for nonlinear Fokker-Planck equations of the Desai-Zwanzig type and Vlasov-Fokker-Planck equations ⋮ Strongly nonlinear stochastic processes in physics and the life sciences ⋮ Nonlinear Markov processes: Deterministic case ⋮ COLLECTIVE BEHAVIOR OF BIOPHYSICAL SYSTEMS WITH THERMODYNAMIC FEEDBACK LOOPS: A CASE STUDY FOR A NONLINEAR MARKOV MODEL — THE TAKATSUJI SYSTEM ⋮ Short-time correlations of many-body systems described by nonlinear Fokker-Planck equations and Vlasov-Fokker-Planck equations ⋮ Fokker–Planck equations for globally coupled many-body systems with time delays

Cites Work

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• Chemical oscillations, waves, and turbulence
• The Fokker-Planck equation. Methods of solution and applications.
• Phase resetting in medicine and biology. Stochastic modelling and data analysis
• Single particle dynamics of many-body systems described by Vlasov-Fokker-Planck equations
• Towards a comprehensive theory of brain activity: Coupled oscillator systems under external forces
• 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
• Stability analysis of stationary states of mean field models described by Fokker-Planck equations
• Time-periodic phases in populations of nonlinearly coupled oscillators with bimodal frequency distributions
• Phase- and Center-Manifold Reductions for Large Populations of Coupled Oscillators with Application to Non-Locally Coupled Systems
• Modeling Brain Function
• Non-equilibrium thermodynamics and anomalous diffusion
• Nonlinear dynamics of chaotic and stochastic systems. Tutorial and modern developments
• Information and self-organization. A macroscopic approach to complex systems.
• Brownian agents and active particles. Collective dynamics in the natural and social sciences. With a foreword by J. Doyne Farmer.
• The geometry of biological time.
• 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
• A Langevin approach for the microscopic dynamics of nonlinear Fokker-Planck equations
• Brownian motors: noisy transport far from equilibrium
• Handbook of stochastic methods for physics, chemistry and natural sciences.

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