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

by Chjan Lim, Joseph Nebus

Overview

This book is meant for an audience of advanced undergraduates and graduate students taking courses on the statistical mechanics approach to turbulent flows and on shastic simulations. It is also suitable for the self-study of professionals involved in the research and modelling of large scale shastic—fluid flows with a substantial vortical component. Several related ideas motivate the approach in this book, namely, the application of equilibrium statistical mechanics to two-dimensional and 2- dimensional fluid flows in the spirit of Onsager [337], and Kraichnan [227], is taken to be a valid starting point, and the primary importance of non-linear convection effects combined with the gravitational and rotational properties of large scale stratified flows over the secondary effects of viscosity is assumed. The latter point is corroborated by the many successful studies of fluid v- cosity which limit its effects to specific and narrow regions such as boundary layers, and to the initial and transient phases of the experiment such as in the Ekman layer and spin-up [154] [344].

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