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Noise in Spatially Extended Systems /

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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...

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Bibliographic Details
Main Author: García-Ojalvo, Jordi
Corporate Author: SpringerLink (Online service)
Other Authors: Sancho, Jose M.
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1999.
Series:Institute for Nonlinear Science.
Subjects:
Physics.
Distribution (Probability theory)
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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. A. Continuum and Discrete Space Descriptions. B. Fourier Transforms. C. Fokker-Planck Equations for Additive Colored Noise. D. Colored Noise in a Linear Model. E. Fokker-Planck Equation for Multiplicative Noise.