ENGLISH

Reaction–Transport Systems: Mesoscopic Foundations, Fronts, and Spatial Instabilities

By Werner Horsthemke , Sergei Fedotov , Vicenc Mendez (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2010
ISBN
3642114423, 9783642114427, 9783642114434
DOI
10.1007/978-3-642-11443-4
Language
english
Format
PDF
Filesize
6 MB (6270727 bytes)
Series
Springer Series in Synergetics
Edition
1
Pages
454\469
Topic
Chemistry
Scanned
no
Time added
2011-06-04 13:46:07
Dynamical Systems and Complexity;Physical ChemistrStatistical Physics

Description

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.

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