Noise-Induced Transitions (eBook)

Theory and Applications in Physics, Chemistry, and Biology

Werner Horsthemke, René Lefever (Autoren)

eBook Download: PDF

2006 | 1. Auflage
XVI, 331 Seiten
Springer-Verlag
978-3-540-36852-6 (ISBN)

Infos

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.

Inhalt

Preface 7
List of Abbreviations 10
Contents 11
1. Introduction 14
2. Elements of Probability Theory 36
3. Stochastic Models of Environmental Fluctuations 68
4. Markovian Diffusion Processes 78
5. Stochastic Differential Equations 95
6. Noise-Induced Nonequilibrium Phase Transitions 121
7. Noise-Induced Transitions in Physics, Cliemistry, and Biology 177
8. External Colored Noise 214
9. Markovian Dichotomous Noise: An Exactly Soluble Colored- Noise Case 271
10. The Symbiosis of Noise and Order - Concluding Remarks 306
References 316
Subject Index 328

Produkt-Details

• Erscheint lt. Verlag: 1.1.2006
• Reihe/Serie: Springer Series in Synergetics
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Biologie ► Biochemie
• Themenwelt: Naturwissenschaften ► Chemie
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
• Themenwelt: Technik
• Schlagworte: chemical reaction • Diffusion • Markovian Processes • noisy environments • phase transition • Stochastic Processes
• ISBN-10: 3-540-36852-3 / 3540368523
• ISBN-13: 978-3-540-36852-6 / 9783540368526