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Noise in Spatially Extended Systems : Institute for Nonlinear Science - Jordi Garcia-Ojalvo

Noise in Spatially Extended Systems

Institute for Nonlinear Science

Hardcover Published: 22nd June 1999
ISBN: 9780387988559
Number Of Pages: 307

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Intended for graduate students and researchers in physics, chemistry, biology, and applied mathematics, this book provides an up-to-date introduction to current research in fluctuations in spatially extended systems. It offers a practical introduction to the theory of stochastic partial differential equations and gives an overview of the effects of external noise on dynamical systems with spatial degrees of freedom. The text begins with a general introduction to noise-induced phenomena in dynamical systems followed by an extensive discussion of analytical and numerical tools needed to get information from stochastic partial differential equations. It then turns to particular problems described by stochastic partial differential equations, covering a wide part of the rich phenomenology of spatially extended systems, such as nonequilibrium phase transitions, domain growth, pattern formation, and front propagation. The only prerequisite is a minimal background knowledge of the Langevin and Fokker-Planck equations.

From the reviews "... this book is a valuable contribution, focused on mathematical and computational techniques to solve stochastic partial differential equations." (PHYSICS TODAY)

Introduction: Fluctuations; phase transitions; pattern formation
Fundamentals and Tools: Stochastic partial differential equations; analytical techniques; numerical techniques
Noise-induced Phase Transitions: additive and multiplicative noise
Dynamics of Phase Transitions with Fluctuations: internal noise; noise-induced phase separation
Pattern Formation Under Multiplicative Noise
Front Dynamics and External Fluctuations
Conclusions
Continuum and Discrete Space Descriptions
Fourier Transforms
Fokker-Planck Equations for Additive Colored Noise
Colored Noise in a Linear Model
Fokker-Planck Equation for Multiplicative Noise
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387988559
ISBN-10: 0387988556
Series: Institute for Nonlinear Science
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 307
Published: 22nd June 1999
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 1.91
Weight (kg): 0.68