Scaling and Renormalization in Statistical Physics (Cambridge Lecture Notes in Physics)

Cardy, John

ISBN 10: 0521499593 / ISBN 13: 9780521499590

Published by Cambridge University Press, 1996

About this Item

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Bibliographic Details

• Title: Scaling and Renormalization in Statistical Physics (Cambridge Lecture Notes in Physics)
• Publisher: Cambridge University Press
• Publication Date: 1996
• Language: English
• ISBN 10: 0521499593
• ISBN 13: 9780521499590
• Binding: Paperback
• Condition: Good

About this title

Synopsis

This text provides a thoroughly modern graduate-level introduction to the theory of critical behavior. 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 behavior, finite-size scaling, perturbative renormalization methods, low-dimensional systems, surface critical behavior, 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 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.

Book Description

A thoroughly modern graduate-level introduction to the theory of critical behaviour. Covers phase transitions, mean field theory, phase diagrams, fixed points, cross-over behaviour, finite-size scaling, a simple approach to the epsilon expansion, low-dimensional systems, surface critical behaviour, random systems, percolation, polymer statistics, critical dynamics and conformal symmetry. Includes many problems.