Nonlinear Fokker-Planck Equations : Fundamentals and Applications

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&#...

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Detaylı Bibliyografya
Yazar: Frank, Till Daniel
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edisyon:1st ed. 2005.
Seri Bilgileri:Springer Series in Synergetics
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Not: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Variante du titre:This title is included in the Springer complexity programme
Edition sous un autre format:• Nonlinear Fokker-Planck equations, fundamentals and applications, Till Daniel Frank, Berlin, Springer, 2005, 1 vol. (XII-404 p.), Springer series in synergetics, 3-540-21264-7
• Nonlinear Fokker-Planck Equations, Texte imprimé, 9783540801207
• Nonlinear Fokker-Planck Equations, Texte imprimé, 9783642059544
• Nonlinear Fokker-Planck equations, fundamentals and applications, Till Daniel Frank, Berlin, Springer, 2005, 1 vol. (XII-404 p.), Springer series in synergetics, 3-540-21264-7
Diğer Bilgiler
Özet: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
Diğer Bilgileri:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540264774
ISSN:2198-333X
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