| 书目名称 | Nonlinear Fokker-Planck Equations | | 副标题 | Fundamentals and App | | 编辑 | Till Daniel Frank | | 视频video | | | 概述 | First textbook that deals with the nonlinear Fokker-Planck equations | | 丛书名称 | Springer Series in Synergetics | | 图书封面 |  | | 描述 | .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.. | | 出版日期 | Textbook 20051st edition | | 关键词 | Complexity; Fokker-Planck equation; Nonextensive Thermodynamics; Nonlinear Dynamcis; Stochastic Processe | | 版次 | 1 | | doi | https://doi.org/10.1007/b137680 | | isbn_softcover | 978-3-642-05954-4 | | isbn_ebook | 978-3-540-26477-4Series ISSN 0172-7389 Series E-ISSN 2198-333X | | issn_series | 0172-7389 | | copyright | Springer-Verlag Berlin Heidelberg 2005 |
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发表于 2025-3-21 17:54:16
