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

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...

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Asıl Yazarlar: Horsthemke, Werner, 1950-, Fedotov, Sergei (Yazar), Méndez, Vicenç (Yazar)
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Berlin, Heidelberg : Springer Berlin Heidelberg : Springer e-books : Imprint: Springer : Springer e-books [20..].
Cham : Springer Nature
Seri Bilgileri:Springer Series in Synergetics
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Edition sous un autre format:• Reaction-transport systems, mesoscopic foundations, fronts, and spatial instabilities, Vicenç Mendéz, Sergei Fedotov, Werner Horsthemke, Heidelberg, Springer, 2010, 1 vol. (XXI-454 p.), Springer series in synergetics, 978-3-642-11442-7
Diğer Bilgiler
Özet: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
Diğer Bilgileri:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783642114434
ISSN:0172-7389
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