{"product_id":"9783540212645","title":"Springer Series in Synergetics: Fundamentals and Applications","description":"\u003ch1\u003eSpringer Series in Synergetics: Fundamentals and Applications\u003c\/h1\u003e \u003ch2\u003eFrank, T.D.\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eProviding 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. \u003cstrong\u003eNonlinear Fokker-Planck Equations\u003c\/strong\u003e 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2005-01-07\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540212645\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/b137680\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 408\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45382451265676,"sku":"9783540212645","price":107.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540212645.jpg?v=1774495650","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783540212645","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}