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

• Main Authors: Méndez, Vicenç (Author), Fedotov, Sergei (Author), Horsthemke, Werner (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
• Series: Springer Series in Synergetics,
• Subjects: Physics.; Physical chemistry.; Chemical engineering.; Ecology.; Biomathematics.; Statistical physics.; Dynamical systems.; Applied and Technical Physics.; Statistical Physics, Dynamical Systems and Complexity.; Physical Chemistry.; Theoretical Ecology/Statistics.; Genetics and Population Dynamics.; Industrial Chemistry/Chemical Engineering.

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...

Table of Contents:

• 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.