ENGLISH

Nonlinear Fokker-Planck Equations: Fundamentals and Applications

By T.D. Frank

Book information

Publisher
Springer
Year
2005
ISBN
3540212647, 9783540212645
Language
english
Format
PDF
Filesize
2 MB (2299914 bytes)
Series
Springer Series in Synergetics
Edition
1
Pages
415\415
Library
Kolxo3
Time added
2012-08-21 20:00:00

Description

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.

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