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Noise in Spatially Extended Systems

  • Book
  • © 1999

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

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Table of contents (7 chapters)

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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)

Authors and Affiliations

  • Departament de Fisica i Enginyeria Nuclear, Universitat Politecnica de Catalunya, Terrassa, Spain

    Jordi García-Ojalvo

  • Departament d’Estructura i Constituents de la Materia, Facultat de Fisica Universitat de Barcelona, Barcelona, Spain

    José M. Sancho

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