Nonlinear Fokker-Planck Equations: Fundamentals And Applications

January 7, 2005|
Nonlinear Fokker-Planck Equations: Fundamentals And Applications by T.D. Frank
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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 Equationsaddresses 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.

Title:Nonlinear Fokker-Planck Equations: Fundamentals And Applications
Product dimensions:408 pages, 9.25 X 6.1 X 1 in
Shipping dimensions:408 pages, 9.25 X 6.1 X 1 in
Published:January 7, 2005
Appropriate for ages:All ages
ISBN - 13:9783540212645

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