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Reaction-Transport Systems

Mesoscopic Foundations, Fronts, and Spatial Instabilities
Buch | Hardcover
XXI, 454 Seiten
2010 | 2010
Springer Berlin (Verlag)
978-3-642-11442-7 (ISBN)
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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.

General Concepts.- Reaction Kinetics.- Reactions and Transport: Diffusion, Inertia, and Subdiffusion.- Random Walks and Mesoscopic Reaction-Transport Equations.- Front Propagation.- Reaction-Diffusion Fronts.- Reaction-Transport Fronts Propagating into Unstable States.- Reaction-Diffusion Fronts in Complex Structures.- Ecological Applications.- Biomedical Applications.- Spatial Instabilities and Patterns.- Persistence and Extinction of Populations in Finite Domains.- Turing Instabilities in Homogeneous Systems.- Turing Instabilities in Reaction-Diffusion Systems with Temporally or Spatially Varying Parameters..- Chemical and Biological Applications of Turing Systems.- Pattern Formation in Spatially Discrete Systems.

Erscheint lt. Verlag 16.6.2010
Reihe/Serie Springer Series in Synergetics
Zusatzinfo XXI, 454 p. 109 illus.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 837 g
Themenwelt Naturwissenschaften Physik / Astronomie Angewandte Physik
Naturwissenschaften Physik / Astronomie Astronomie / Astrophysik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte Anomalous diffusion • Biomedical Applications • Cells • pattern formation • reaction-diffusion systems • reactive mixtures • transport equations • turing instabilities
ISBN-10 3-642-11442-3 / 3642114423
ISBN-13 978-3-642-11442-7 / 9783642114427
Zustand Neuware
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