Study Week: Englischsprachige Lehrbücher für je nur 14,99€ – eBooks & Softcover im Angebot! Jetzt ansehen >>

Springer Series in Synergetics
cover

Nonlinear Fokker-Planck Equations

Fundamentals and Applications

Autoren: Frank, T.D.

Dieses Buch kaufen

eBook 67,40 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-540-26477-4
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 106,99 €
Preis für Deutschland (Brutto)
Softcover 84,98 €
Preis für Deutschland (Brutto)
Über dieses Lehrbuch

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.

Stimmen zum Buch

From the reviews of the first edition:

"The author discusses the theory and application of nonlinear Fokker-Planck equations to the description of the nonlinear dynamics of many-body systems … . The principles and concepts of the theory are carefully exposited, along with simple examples and a very large list of references, illustrating the wide applicability to natural phenomena occurring in fields as diverse as physics, mathematics, biology, neurophysics, psychology, social sciences and population dynamics. The book will be very useful for researchers and graduate students interested or working in these areas." (Vitor R. Vieira, Mathematical Reviews, Issue 2006 h)

"The book focuses on common fundamental physical mechanisms present in diverse research fields. … The book may be a resource of mathematical problems in a field with diverse applications: each chapter gives an outline of examples and applications of various partial differential equations and an approach towards equilibrium of their solutions (H-theorems). A concept of negative stochastic feedback, with biological motivations, may be found interesting." (Piotr Garbaczewski, Zentralblatt MATH, Vol. 1071, 2005)


Inhaltsverzeichnis (8 Kapitel)

Inhaltsverzeichnis (8 Kapitel)
  • Introduction

    Seiten 1-17

  • Fundamentals

    Seiten 19-30

  • Strongly Nonlinear Fokker-Planck Equations

    Seiten 31-72

  • Free Energy Fokker-Planck Equations

    Seiten 73-108

  • Free Energy Fokker-Planck Equations with Boltzmann Statistics

    Seiten 109-211

Dieses Buch kaufen

eBook 67,40 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-540-26477-4
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 106,99 €
Preis für Deutschland (Brutto)
Softcover 84,98 €
Preis für Deutschland (Brutto)
Loading...

Wir empfehlen

Loading...

Bibliografische Information

Bibliographic Information
Buchtitel
Nonlinear Fokker-Planck Equations
Buchuntertitel
Fundamentals and Applications
Autoren
Titel der Buchreihe
Springer Series in Synergetics
Copyright
2005
Verlag
Springer-Verlag Berlin Heidelberg
Copyright Inhaber
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-26477-4
DOI
10.1007/b137680
Hardcover ISBN
978-3-540-21264-5
Softcover ISBN
978-3-642-05954-4
Buchreihen ISSN
0172-7389
Auflage
1
Seitenzahl
XII, 408
Themen