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Look Inside Scaling and Renormalization in Statistical Physics

Scaling and Renormalization in Statistical Physics


Part of Cambridge Lecture Notes in Physics

  • Date Published: May 1996
  • availability: Available
  • format: Paperback
  • isbn: 9780521499590

£ 44.99

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About the Authors
  • This text provides a thoroughly modern graduate-level introduction to the theory of critical behaviour. Beginning with a brief review of phase transitions in simple systems and of mean field theory, the text then goes on to introduce the core ideas of the renormalization group. Following chapters cover phase diagrams, fixed points, cross-over behaviour, finite-size scaling, perturbative renormalization methods, low-dimensional systems, surface critical behaviour, random systems, percolation, polymer statistics, critical dynamics and conformal symmetry. The book closes with an appendix on Gaussian integration, a selected bibliography, and a detailed index. Many problems are included. The emphasis throughout is on providing an elementary and intuitive approach. In particular, the perturbative method introduced leads, among other applications, to a simple derivation of the epsilon expansion in which all the actual calculations (at least to lowest order) reduce to simple counting, avoiding the need for Feynman diagrams.

    • Very distinguished author
    • The most modern and up-to-date introduction to this area
    • Emphasis on applications
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    Reviews & endorsements

    ' … a short but very intelligible textbook well equilibrated by a variety of material.' V. Zagrebnov, Zentralblatt Math

    'Supported with interesting exercises at the end of each chapter, Cardy's book is likely to prove a popular introduction to this demanding but extraordinarily successful method for probing many complex phenomena.' Robert Matthews New Scientist

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    Product details

    • Date Published: May 1996
    • format: Paperback
    • isbn: 9780521499590
    • length: 260 pages
    • dimensions: 232 x 151 x 17 mm
    • weight: 0.4kg
    • contains: 49 b/w illus. 4 tables 63 music examples 63 exercises
    • availability: Available
  • Table of Contents

    1. Phase transitions in simple systems
    2. Mean field theory
    3. The renormalization group idea
    4. Phase diagrams and fixed points
    5. The perturbative renormalization group
    6. Near two dimensions
    7. Surface critical behaviour
    8. Random systems
    9. Polymer statistics
    10. Critical dynamics
    11. Conformal symmetry
    Appendix: Gaussian integration
    Selected bibliography

  • Author

    John Cardy, University of Oxford

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