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Nonlinear Fokker-Planck Equations by T.D Frank
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Nonlinear Fokker-Planck Equations

Fundamentals and Applications
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Description

Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book discusses fundamental properties of transient and stationary solutions, emphasizing the stability analysis of stationary solutions by means of self-consistency equations, linear stability analysis, and Lyapunov's direct method. Also treated are Langevin equations and correlation functions. Nonlinear Fokker-Planck Equations addresses various phenomena such as phase transitions, multistability of systems, synchronization, anomalous diffusion, cut-off solutions, travelling-wave solutions and the emergence of power law solutions. A nonlinear Fokker-Planck perspective to quantum statistics, generalized thermodynamics, and linear nonequilibrium thermodynamics is given. Theoretical concepts are illustrated where possible by simple examples. The book also reviews several applications in the fields of condensed matter physics, the physics of porous media and liquid crystals, accelerator physics, neurophysics, social sciences, population dynamics, and computational physics.
Release date Australia
October 19th, 2010
Author
Audience
  • Professional & Vocational
Illustrations
XII, 408 p.
Pages
408
Dimensions
155x235x22
ISBN-13
9783642059544
Product ID
11091852

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