Nonlinear Fokker-Planck equations : fundamentals and applications
著者
書誌事項
Nonlinear Fokker-Planck equations : fundamentals and applications
（Springer series in synergetics）（Springer complexity）
Springer, c2005
- : softcover
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注記
Includes bibliographical references (p. [371]-400) and index
内容説明・目次
内容説明
Centered around the natural phenomena of relaxations and fluctuations, this monograph provides readers with a solid foundation in the linear and nonlinear Fokker-Planck equations that describe the evolution of distribution functions.
It emphasizes principles and notions of the theory (e.g. self-organization, stochastic feedback, free energy, and Markov processes), while also illustrating the wide applicability (e.g. collective behavior, multistability, front dynamics, and quantum particle distribution).
The focus is on relaxation processes in homogeneous many-body systems describable by nonlinear Fokker-Planck equations. Also treated are Langevin equations and correlation functions.
Since these phenomena are exhibited by a diverse spectrum of systems, examples and applications span the fields of physics, biology and neurophysics, mathematics, psychology, and biomechanics.
目次
Fundamentals.- Strongly Nonlinear Fokker-Planck Equations.- Free Energy Fokker-Planck Equations.- Free Energy Fokker-Planck Equations with Boltzmann Statistics.- Entropy Fokker-Planck Equations.- General Nonlinear Fokker-Planck Equations.- Epilogue.
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