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Scaling and Renormalization in Statistical Physics.

Scaling and Renormalization in Statistical Physics.

・ISBN 978-0-521-49959-0 paper GB£ 56.00

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お気に入り
電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 9781316036440
著者・編者Cardy, John,
シリーズ (Cambridge Lecture Notes in Physics)
出版社 (Cambridge University Press, UK)
出版年月1996
ページ数260 pp.
言語ENG
ニュース番号<A00-24488>

解説

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.