Vorticity, statistical mechanics, and Monte Carlo simulation
 Author/Creator
 Lim, Chjan C., 1959
 Language
 English.
 Imprint
 New York : Springer, c2007.
 Physical description
 xiv, 290 p. : ill. ; 25 cm.
 Series
 Springer monographs in mathematics.
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Available online
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 www.springerlink.com SpringerLink
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QA911 .L466 2007

Available
QA911 .L466 2007
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Contributors
 Contributor
 Nebus, Joseph.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. [263]282) and index.
 Contents

 Introduction. Probability. Statistical Mechanics. The Monte Carlo Approach. Spectral Methods. Discrete Models in Fluids. SpinLattice Models. Monte Carlo Simulations. Polyhedra and Ground States. Mesh Generation. Statistical Mechanics for a Vortex Gas. Twolayer Quasigeostrophic Models. Barotropic Vorticity Dynamics. Mean Field Theory.
 (source: Nielsen Book Data)
 Publisher's Summary
 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 largescale flows and several related fields. The authors of 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 highenergy states have on fluid flows. Special attention is given to spherical models as well.This book is intended for the upperlevel 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2007
 Responsibility
 Chjan Lim, Joseph Nebus.
 Series
 Springer monographs in mathematics
 ISBN
 9780387350752
 0387350756