Reaction-Transport Systems : Mesoscopic Foundations, Fronts, and Spatial Instabilities. 1st ed. 2010

種類:

電子ブック

責任表示:

by Vicenc Mendez, Sergei Fedotov, Werner Horsthemke

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010

著者名:

• Mendez, Vicenc.
• Fedotov, Sergei.
• Horsthemke, Werner.
• SpringerLink (Online service)

シリーズ名:

Springer Series in Synergetics ;

ISBN:

9783642114434 [3642114431]    

注記:

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.
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

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