Advertisement

Statistical Mechanics of Lattice Systems

Volume 1: Closed-Form and Exact Solutions

  • David A. Lavis
  • George M. Bell

Part of the Texts and Monographs in Physics book series (TMP)

Table of contents

  1. Front Matter
    Pages I-XII
  2. David A. Lavis, George M. Bell
    Pages 1-30
  3. David A. Lavis, George M. Bell
    Pages 31-65
  4. David A. Lavis, George M. Bell
    Pages 67-91
  5. David A. Lavis, George M. Bell
    Pages 93-118
  6. David A. Lavis, George M. Bell
    Pages 119-133
  7. David A. Lavis, George M. Bell
    Pages 135-172
  8. David A. Lavis, George M. Bell
    Pages 173-203
  9. David A. Lavis, George M. Bell
    Pages 205-240
  10. David A. Lavis, George M. Bell
    Pages 241-292
  11. David A. Lavis, George M. Bell
    Pages 293-334
  12. Back Matter
    Pages 335-369

About this book

Introduction

This two-volume work provides a comprehensive study of the statistical mechanics of lattice models. It introduces the reader to the main areas in statistical mechanics and the theory of phase transitions. The development is built on a firm mathematical and physical basis. Volume 1 contains an account of mean-field and cluster variation methods successfully used in many applications in solid-state physics and theoretical chemistry as well as an account of exact results for the Ising and six-vertex models and those derivable by transformation methods. Volume 2 includes extensive treatments of scaling theory, algebraic and real-space renormalization methods and the eight-vertex model. It also includes an account of series methods and a treatment of dimer assemblies.

Keywords

Helium-Atom-Streuung Renormalization group STEM cluster variation mean-field approximation phase transition renormalization method scaling

Authors and affiliations

  • David A. Lavis
    • 1
  • George M. Bell
    • 1
  1. 1.Department of MathematicsKing’s College, University of London StrandLondonUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03843-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08411-9
  • Online ISBN 978-3-662-03843-7
  • Series Print ISSN 1864-5879
  • Series Online ISSN 1864-5887
  • Buy this book on publisher's site