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Commencing with a self-contained overview of atomic collision theory, this monograph presents recent developments of R-matrix theory and its applications to a wide-range of atomic molecular and optical processes. These developments include electron and photon collisions with atoms, ions and molecules required in the analysis of laboratory and astrophysical plasmas, multiphoton processes required in the analysis of superintense laser interactions with atoms and molecules and positron collisions with atoms and molecules required in antimatter studies of scientific and technologial importance. Basic mathematical results and general and widely used R-matrix computer programs are summarized in the appendices.
Mathematical physics --- Plasma physics --- Optics. Quantum optics --- Experimental atomic and molecular physics --- Matter physics --- moleculen --- molecuulfysica --- plasmafysica --- laserspectroscopie --- wiskunde --- atoomfysica --- atomen --- R-matrices. --- Collisions (Nuclear physics) --- Scattering (Physics) --- Matrice R --- Collisions (Physique nucléaire) --- Diffusion (Physique nucléaire) --- EPUB-LIV-FT LIVPHYSI SPRINGER-B
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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.
Discrete mathematics --- Mathematics --- Classical mechanics. Field theory --- Statistical physics --- Physics --- Physicochemistry --- Biomathematics. Biometry. Biostatistics --- Genetics --- General ecology and biosociology --- Applied physical engineering --- Engineering sciences. Technology --- Chemical technology --- toegepaste wetenschappen --- grafentheorie --- biomathematica --- BIT (biochemische ingenieurstechnieken) --- statistiek --- genetica --- ecologie --- ingenieurswetenschappen --- fysica --- chemische technologie --- fysicochemie --- dynamica --- Diffusion --- Reaction-diffusion equations --- Diffusion (Physique) --- Equations de réaction-diffusion --- EPUB-LIV-FT LIVPHYSI SPRINGER-B
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Commencing with a self-contained overview of atomic collision theory, this monograph presents recent developments of R-matrix theory and its applications to a wide-range of atomic molecular and optical processes. These developments include electron and photon collisions with atoms, ions and molecules required in the analysis of laboratory and astrophysical plasmas, multiphoton processes required in the analysis of superintense laser interactions with atoms and molecules and positron collisions with atoms and molecules required in antimatter studies of scientific and technologial importance. Basic mathematical results and general and widely used R-matrix computer programs are summarized in the appendices.
Mathematical physics --- Plasma physics --- Optics. Quantum optics --- Experimental atomic and molecular physics --- Matter physics --- moleculen --- molecuulfysica --- plasmafysica --- laserspectroscopie --- wiskunde --- atoomfysica --- atomen --- R-matrices. --- Collisions (Nuclear physics) --- Scattering (Physics) --- Matrice R --- Collisions (Physique nucléaire) --- Diffusion (Physique nucléaire) --- EPUB-LIV-FT LIVPHYSI SPRINGER-B
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