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Scaling and Renormalization in Statistical Physics: Cambridge Lecture Notes in Physics, cartea 5

Autor John Cardy
en Limba Engleză Paperback – 25 apr 1996
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.
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Specificații

ISBN-13: 9780521499590
ISBN-10: 0521499593
Pagini: 260
Ilustrații: 49 b/w illus. 4 tables 63 music examples 63 exercises
Dimensiuni: 151 x 232 x 17 mm
Greutate: 0.4 kg
Ediția:New.
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Lecture Notes in Physics

Locul publicării:Cambridge, United Kingdom

Cuprins

Preface; 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; Index.

Recenzii

' … 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

Descriere

A thoroughly modern graduate-level introduction to the theory of critical behaviour.