Download nonlinear fokker planck equations springer series in synergetics in pdf or read nonlinear fokker planck equations springer series in synergetics in pdf online books in PDF, EPUB and Mobi Format. Click Download or Read Online button to get nonlinear fokker planck equations springer series in synergetics in pdf book now. This site is like a library, Use search box in the widget to get ebook that you want.

Nonlinear Fokker Planck Equations

Author: T.D. Frank
Publisher: Springer Science & Business Media
ISBN: 3540264779
Size: 58.66 MB
Format: PDF, Kindle
View: 3421
Download and Read
Centered around the natural phenomena of relaxations and fluctuations, this monograph provides readers with a solid foundation in the linear and nonlinear Fokker-Planck equations that describe the evolution of distribution functions. It emphasizes principles and notions of the theory (e.g. self-organization, stochastic feedback, free energy, and Markov processes), while also illustrating the wide applicability (e.g. collective behavior, multistability, front dynamics, and quantum particle distribution). The focus is on relaxation processes in homogeneous many-body systems describable by nonlinear Fokker-Planck equations. Also treated are Langevin equations and correlation functions. Since these phenomena are exhibited by a diverse spectrum of systems, examples and applications span the fields of physics, biology and neurophysics, mathematics, psychology, and biomechanics.

The Fokker Planck Equation

Author: Hannes Risken
Publisher: Springer Science & Business Media
ISBN: 3642615449
Size: 21.20 MB
Format: PDF, ePub
View: 1598
Download and Read
This is the first textbook to include the matrix continued-fraction method, which is very effective in dealing with simple Fokker-Planck equations having two variables. Other methods covered are the simulation method, the eigen-function expansion, numerical integration, and the variational method. Each solution is applied to the statistics of a simple laser model and to Brownian motion in potentials. The whole is rounded off with a supplement containing a short review of new material together with some recent references. This new study edition will prove to be very useful for graduate students in physics, chemical physics, and electrical engineering, as well as for research workers in these fields.

Model Reduction And Coarse Graining Approaches For Multiscale Phenomena

Author: Alexander N. Gorban
Publisher: Springer Science & Business Media
ISBN: 3540358889
Size: 27.23 MB
Format: PDF, Mobi
View: 1385
Download and Read
Model reduction and coarse-graining are important in many areas of science and engineering. How does a system with many degrees of freedom become one with fewer? How can a reversible micro-description be adapted to the dissipative macroscopic model? These crucial questions, as well as many other related problems, are discussed in this book. All contributions are by experts whose specialities span a wide range of fields within science and engineering.

Asymptotic Methods For The Fokker Planck Equation And The Exit Problem In Applications

Author: Johan Grasman
Publisher: Springer Science & Business Media
ISBN: 9783540644354
Size: 72.79 MB
Format: PDF, Mobi
View: 7736
Download and Read
Asymptotic methods are of great importance for practical applications, especially in dealing with boundary value problems for small stochastic perturbations. This book deals with nonlinear dynamical systems perturbed by noise. It addresses problems in which noise leads to qualitative changes, escape from the attraction domain, or extinction in population dynamics. The most likely exit point and expected escape time are determined with singular perturbation methods for the corresponding Fokker-Planck equation. The authors indicate how their techniques relate to the Itô calculus applied to the Langevin equation. The book will be useful to researchers and graduate students.