Skip to main content
SpringerLink
Log in
Book cover

Vorticity, Statistical Mechanics, and Monte Carlo Simulation

  • Book
  • © 2007

Overview

Editors:
  1. Chjan Lim

    1. Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Joseph Nebus

    1. Department of Mathematics, National University of Singapore, Singapore

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Will be a unique addition to the literature
  • Offers fresh insights into an important field

Part of the book series: Springer Monographs in Mathematics (SMM)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (13 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Introduction

    Pages 1-8

  3. Probability

    Pages 9-27

  4. Statistical Mechanics

    Pages 29-49

  5. The Monte Carlo Approach

    Pages 51-65

  6. Spectral Methods

    Pages 67-78

  7. Discrete Models in Fluids

    Pages 79-114

  8. Spin-Lattice Models

    Pages 115-132

  9. Monte Carlo Simulations of Spin-Lattice Models on the Sphere

    Pages 133-160

  10. Polyhedra and Ground States

    Pages 161-186

  11. Mesh Generation

    Pages 187-211

  12. Statistical Mechanics for a Vortex Gas

    Pages 213-231

  13. Two-Layer Quasi-Geostrophic Models

    Pages 233-243

  14. Coupled Barotropic Vorticity Dynamics on a Rotating Sphere

    Pages 245-261

  15. Back Matter

    Pages 263-290
    Download chapter PDF
Back to top

Keywords

About this book

This book is meant for an audience of advanced undergraduates and graduate students taking courses on the statistical mechanics approach to turbulent ?ows and on stochastic simulations. It is also suitable for the self-study of professionals involved in the research and modelling of large scale stochastic ?uid ?ows 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 ?uid ?ows 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 e?ects combined with the gravitational and rotational properties of large scale strati?ed ?ows over the secondary e?ects of viscosity is assumed. The latter point is corroborated by the many successful studies of ?uid v- cosity which limit its e?ects to speci?c 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].

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)

Editors and Affiliations

  • Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, USA

    Chjan Lim

  • Department of Mathematics, National University of Singapore, Singapore

    Joseph Nebus

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation