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Statistical Mechanics of Lattice Systems

Volume 2: Exact, Series and Renormalization Group Methods

  • 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 1-14
  3. David A. Lavis, George M. Bell
    Pages 15-87
  4. David A. Lavis, George M. Bell
    Pages 89-112
  5. David A. Lavis, George M. Bell
    Pages 113-165
  6. David A. Lavis, George M. Bell
    Pages 167-202
  7. David A. Lavis, George M. Bell
    Pages 203-249
  8. David A. Lavis, George M. Bell
    Pages 251-302
  9. David A. Lavis, George M. Bell
    Pages 303-333
  10. Back Matter
    Pages 335-431

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 group renormalization methods and the eight-vertex model. It also includes an account of series methods and a treatment of dimer assemblies.

Keywords

Phase transition Renormalization group STEM cluster variation method mean-field approximation renormalization method scaling

Authors and affiliations

  • David A. Lavis
    • 1
  • George M. Bell
    • 1
  1. 1.Department of Mathematics, King’s CollegeUniversity of London StrandLondonUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-10020-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08410-2
  • Online ISBN 978-3-662-10020-2
  • Series Print ISSN 1864-5879
  • Series Online ISSN 1864-5887
  • Buy this book on publisher's site