Noise in Spatially Extended Systems

1. Front Matter

   Pages i-xiii

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2. Introduction

   • Jordi García-Ojalvo, José M. Sancho

   Pages 1-51

3. Fundamentals and Tools

   • Jordi García-Ojalvo, José M. Sancho

   Pages 53-113

4. Noise-Induced Phase Transitions

   • Jordi García-Ojalvo, José M. Sancho

   Pages 115-158

5. Dynamics of Phase Transitions with Fluctuations

   • Jordi García-Ojalvo, José M. Sancho

   Pages 159-184

6. Pattern Formation Under Multiplicative Noise

   • Jordi García-Ojalvo, José M. Sancho

   Pages 185-217

7. Front Dynamics and External Fluctuations

   • Jordi García-Ojalvo, José M. Sancho

   Pages 219-262

8. Conclusions

   • Jordi García-Ojalvo, José M. Sancho

   Pages 263-268

9. Back Matter

   Pages 269-307

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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.

• Fokker-Planck equation
• dynamics
• functional analysis
• mathematics
• partial differential equation

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

• 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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