Overview
- Introduces the reader to reaction-diffusion systems beyond the classical Brownian diffusion process
- Derives the physically and mathematically correct basic phenomenological equations by examining the mesoscopic transport properties of the system
- Exercises at the end of each chapter make the book suitable for use in classrooms
- Describes appplications to a variety of fields
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Series in Synergetics (SSSYN)
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Table of contents (13 chapters)
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Front Matter
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Spatial Instabilities and Patterns
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Front Matter
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Back Matter
Keywords
About this book
This book is an introduction to the dynamics of reaction-diffusion systems, with a focus on fronts and stationary spatial patterns. Emphasis is on systems that are non-standard in the sense that either the transport is not simply classical diffusion (Brownian motion) or the system is not homogeneous. A important feature is the derivation of the basic phenomenological equations from the mesoscopic system properties.
Topics addressed include transport with inertia, described by persistent random walks and hyperbolic reaction-transport equations and transport by anomalous diffusion, in particular subdiffusion, where the mean square displacement grows sublinearly with time. In particular reaction-diffusion systems are studied where the medium is in turn either spatially inhomogeneous, compositionally heterogeneous or spatially discrete.
Applications span a vast range of interdisciplinary fields and the systems considered can be as different as human or animal groups migrating under external influences, population ecology and evolution, complex chemical reactions, or networks of biological cells. Several chapters treat these applications in detail.
Authors and Affiliations
Bibliographic Information
Book Title: Reaction-Transport Systems
Book Subtitle: Mesoscopic Foundations, Fronts, and Spatial Instabilities
Authors: Vicenç Méndez, Sergei Fedotov, Werner Horsthemke
Series Title: Springer Series in Synergetics
DOI: https://doi.org/10.1007/978-3-642-11443-4
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2010
Hardcover ISBN: 978-3-642-11442-7Published: 16 June 2010
Softcover ISBN: 978-3-642-26376-7Published: 05 September 2012
eBook ISBN: 978-3-642-11443-4Published: 10 June 2010
Series ISSN: 0172-7389
Series E-ISSN: 2198-333X
Edition Number: 1
Number of Pages: XXI, 454
Number of Illustrations: 109 b/w illustrations
Topics: Applied and Technical Physics, Complex Systems, Physical Chemistry, Theoretical Ecology/Statistics, Genetics and Population Dynamics, Industrial Chemistry/Chemical Engineering