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Institute for Nonlinear Science

Noise in Spatially Extended Systems

Authors: Garcia-Ojalvo, Jordi, Sancho, Jose

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  • ISBN 978-1-4612-1536-3
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Hardcover $189.00
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  • ISBN 978-0-387-98855-9
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Softcover $159.00
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  • ISBN 978-1-4612-7182-6
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About this book

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.

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

Table of contents (7 chapters)

  • Introduction

    García-Ojalvo, Jordi (et al.)

    Pages 1-51

  • Fundamentals and Tools

    García-Ojalvo, Jordi (et al.)

    Pages 53-113

  • Noise-Induced Phase Transitions

    García-Ojalvo, Jordi (et al.)

    Pages 115-158

  • Dynamics of Phase Transitions with Fluctuations

    García-Ojalvo, Jordi (et al.)

    Pages 159-184

  • Pattern Formation Under Multiplicative Noise

    García-Ojalvo, Jordi (et al.)

    Pages 185-217

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-1-4612-1536-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-0-387-98855-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-1-4612-7182-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Noise in Spatially Extended Systems
Authors
Series Title
Institute for Nonlinear Science
Copyright
1999
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1536-3
DOI
10.1007/978-1-4612-1536-3
Hardcover ISBN
978-0-387-98855-9
Softcover ISBN
978-1-4612-7182-6
Series ISSN
1431-4673
Edition Number
1
Number of Pages
XIII, 307
Topics