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Noise in Spatially Extended Systems

  • Jordi García-Ojalvo
  • José M. Sancho

Part of the Institute for Nonlinear Science book series (INLS)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Jordi García-Ojalvo, José M. Sancho
    Pages 1-51
  3. Jordi García-Ojalvo, José M. Sancho
    Pages 53-113
  4. Jordi García-Ojalvo, José M. Sancho
    Pages 115-158
  5. Jordi García-Ojalvo, José M. Sancho
    Pages 159-184
  6. Jordi García-Ojalvo, José M. Sancho
    Pages 185-217
  7. Jordi García-Ojalvo, José M. Sancho
    Pages 219-262
  8. Jordi García-Ojalvo, José M. Sancho
    Pages 263-268
  9. Back Matter
    Pages 269-307

About this book

Introduction

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.

Keywords

Fokker-Planck equation dynamics functional analysis mathematics partial differential equation

Authors and affiliations

  • Jordi García-Ojalvo
    • 1
  • José M. Sancho
    • 2
  1. 1.Departament de Fisica i Enginyeria NuclearUniversitat Politecnica de CatalunyaTerrassaSpain
  2. 2.Departament d’Estructura i Constituents de la MateriaFacultat de Fisica Universitat de BarcelonaBarcelonaSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1536-3
  • Copyright Information Springer-Verlag New York, Inc. 1999
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7182-6
  • Online ISBN 978-1-4612-1536-3
  • Series Print ISSN 1431-4673
  • Buy this book on publisher's site