Active Particles, Volume 1
Advances in Theory, Models, and Applications
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Beschreibung
This volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics. The contributing authors are leading experts working in this challenging field, and each of their chapters provides a review of the most recent results in their areas and looks ahead to future research directions. The approaches to studying active matter are presented here from many different perspectives, such as individual-based models, evolutionary games, Brownian motion, and continuum theories, as well as various combinations of these. Applications covered include biological network formation and network theory; opinion formation and social systems; control theory of sparse systems; theory and applications of mean field games; population learning; dynamics of flocking systems; vehicular traffic flow; and stochastic particles and mean field approximation. Mathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.
This volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics. The contributing authors are leading experts working in this challenging field, and each of their chapters provides a review of the most recent results in their areas and looks ahead to future research directions. The approaches to studying active matter are presented here from many different perspectives, such as individual-based models, evolutionary games, Brownian motion, and continuum theories, as well as various combinations of these. Applications covered include biological network formation and network theory; opinion formation and social systems; control theory of sparse systems; theory and applications of mean field games; population learning; dynamics of flocking systems; vehicular traffic flow; andstochastic particles and mean field approximation. Mathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.
Explores the most recent advances and methods for applications of active particles Contributing authors are leading researchers in their respective areas Numerous applications of active particles covered, such as biological network formation, population learning, and vehicular traffic flow Includes supplementary material: sn.pub/extras
Autor*in
Nicola Bellomo
Themen in »Active Particles, Volume 1«
Mathematical Kinetic Theory of Active Particles Nonequilibrium Statistical Mechanics Biological Network Formation Opinion Modeling Variational Mean Field Games Sparse Control of Multi-Agent Systems Complex Systems Hydrodynamic Models of Collective Behavior Cucker-Smale Flocking Model Follow-the-Leader Apporximations Vehicular Flows Pedetrian Flows Stochastic Particle Systems