Vorticity, Statistical Mechanics, and Monte Carlo Simulation / Edition 1

by Chjan Lim, Joseph Nebus

Overview

This book is drawn from across many active fields of mathematics and physics. It 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 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.

Product Details

ISBN-13:	9780387350752
Publisher:	Springer New York
Publication date:	11/15/2006
Series:	Springer Monographs in Mathematics
Edition description:	2007
Pages:	290
Product dimensions:	6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

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.

Editorial Reviews

From the reviews:

"The textbook for advanced undergraduate students is written to provide an overview of many aspects encountered in classical and quantum statistical mechanics. … This volume is a convincing invitation to modern mathematical concepts and new techniques. It will prove useful and attractive to graduate students and teachers in this active field." (Vicentin D. Radulescu, Zentralblatt MATH, Vol. 1145, 2008)

From the Publisher