Vorticity, Statistical Mechanics, and Monte Carlo Simulation

This book is drawn from across many active fields of mathematics and physics, and has connections to atmospheric dynamics, spherical codes, graph theory, constrained optimization problems, Markov Chains, and Monte Carlo methods. It addresses how to access interesting, original, and publishable resea...

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Détails bibliographiques
Auteurs principaux : Lim Chjan C. (Auteur), Nebus Joseph (Éditeur scientifique)
Autres auteurs : Lim Chjan (Éditeur scientifique)
Format : Livre
Langue : anglais
Titre complet : Vorticity, Statistical Mechanics, and Monte Carlo Simulation / Chjan Lim, Joseph Nebus.
Édition : 1st ed. 2007.
Publié : New York, NY : Springer New York , [20..]
Cham : Springer Nature
Collection : Springer monographs in mathematics (Internet)
Accès en ligne : Accès Nantes Université
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Condition d'utilisation et de reproduction : Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017
Contenu : Probability. Statistical Mechanics. The Monte Carlo Approach. Spectral Methods. Discrete Models in Fluids. Spin-Lattice Models. Monte Carlo Simulations of Spin-Lattice Models on the Sphere. Polyhedra and Ground States. Mesh Generation. Statistical Mechanics for a Vortex Gas. Two-Layer Quasi-Geostrophic Models. Coupled Barotropic Vorticity Dynamics on a Rotating Sphere
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Documents associés : Autre format: Vorticity, statistical mechanics, and Monte Carlo simulation
Autre format: Vorticity, statistical mechanics, and Monte Carlo simulation
Autre format: Harmonic analysis and partial differential equations
Autre format: Vorticity, statistical mechanics, and Monte Carlo simulation
Description
Résumé : This book is drawn from across many active fields of mathematics and physics, and has connections to atmospheric dynamics, spherical codes, graph theory, constrained optimization problems, Markov Chains, and Monte Carlo methods. It addresses how to access interesting, original, and publishable research in statistical modeling of large-scale flows and several related fields. The authors f this book explicitly reach around the major branches of mathematics and physics, showing how the use of a few straightforward approaches can create a cornucopia of intriguing questions and the tools to answer them. In reading this book, the reader will learn how to research a topic and how to understand statistical mechanics treatments of fluid dynamics. Of particular interest should be the application of Monte Carlo methods to problems like dispersal of points on the sphere, the phase transitions of in viscid fluid flows in models that increasingly approach the conditions of actual planetary atmospheres, and the treatment of negative absolute temperatures and the effects these extremely high-energy states have on fluid flows. Special attention is given to spherical models as well. This book is intended for the upper-level undergraduate or the beginning graduate level courses of mathematics and physics. It will also be of interest to readers interested in statistical mechanics methods applied to fluid mechanics problems. Readers will gain an understanding of how to synthesize new mathematics by applying familiar tools in new ways, and develop new tools to fit particular applications
Notes : L'impression du document génère 294 p.
Bibliographie : Bibliogr. Index
ISBN : 978-0-387-49431-9
DOI : 10.1007/978-0-387-49431-9