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Noise-Induced Transitions

Theory and Applications in Physics, Chemistry, and Biology

  • Werner Horsthemke
  • René Lefever

Part of the Springer Series in Synergetics book series (SSSYN, volume 15)

About this book

Introduction

This classic text, an often-requested reprint, develops and explains the foundations of noise-induced processes. At its core is a self-contained, textbook-style presentation of the elements of probability theory, of the theory of Markovian diffusion processes and of the theory of stochastic differential equations, on which the modeling of fluctuating natural and artificial environments is based. Following an introduction to the mathematical tools, the occurrence and the properties of noise-induced transitions are then analyzed for rapidly fluctuating environments describable by the white-noise idealization. Subsequently, more realistic and general types of colored noises are considered. Appropriate practical methods for dealing with these situations are developed. The latter part of the book contains applications and experimental studies illustrating the many facets of noise-induced transitions. The following applications are considered in Noise-Induced Transitions: population dynamics, electrical circuits, chemical and photochemical reactions, non-linear optics, and hydrodynamical systems.

Keywords

Chemical reaction Diffusion Markovian Processes noisy environments phase transition stochastic processes

Authors and affiliations

  • Werner Horsthemke
    • 1
  • René Lefever
    • 2
  1. 1.Southern Methodist UniversityDallasUSA
  2. 2.Université Libre de BruxellesBrusselsBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-36852-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 1984
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-11359-1
  • Online ISBN 978-3-540-36852-6
  • Series Print ISSN 0172-7389
  • Buy this book on publisher's site