Springer Series in Synergetics

Reaction-Transport Systems

Mesoscopic Foundations, Fronts, and Spatial Instabilities

Authors: Mendez, Vicenc, Fedotov, Sergei, Horsthemke, Werner

  • 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 applications to a variety of fields
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eBook $119.00
price for USA (gross)
  • ISBN 978-3-642-11443-4
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  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-642-11442-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
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  • ISBN 978-3-642-26376-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (13 chapters)

  • Reaction Kinetics

    Méndez, Vicenç (et al.)

    Pages 3-31

  • Reactions and Transport: Diffusion, Inertia, and Subdiffusion

    Méndez, Vicenç (et al.)

    Pages 33-54

  • RandomWalks and Mesoscopic Reaction–Transport Equations

    Méndez, Vicenç (et al.)

    Pages 55-120

  • Reaction–Diffusion Fronts

    Méndez, Vicenç (et al.)

    Pages 123-153

  • Reaction–Transport Fronts Propagating into Unstable States

    Méndez, Vicenç (et al.)

    Pages 155-181

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-642-11443-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-642-11442-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-3-642-26376-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Reaction-Transport Systems
Book Subtitle
Mesoscopic Foundations, Fronts, and Spatial Instabilities
Authors
Series Title
Springer Series in Synergetics
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-11443-4
DOI
10.1007/978-3-642-11443-4
Hardcover ISBN
978-3-642-11442-7
Softcover ISBN
978-3-642-26376-7
Series ISSN
0172-7389
Edition Number
1
Number of Pages
XXI, 454
Number of Illustrations and Tables
109 b/w illustrations
Topics