Real-Space Renormalization

Language: English

Published by Springer, Springer Dez 2011, 2011

3642818277 / 9783642818271

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This item is printed on demand - Print on Demand Titel. Neuware -The renormalization-group approach is largely responsible for the considerable success which has been achieved in the last ten years in developing a complete quantitative theory of phase transitions. Before, there was a useful physical picture of phase transitions, but a general method for making accurate quantitative predictions was lacking. Existent theories, such as the mean-field theory of Landau, sometimes reproduce phase diagrams reliably but were known to fail qualitatively near critical points, where the critical behavior is particularly interesting be cause of its universal character. In the mid 1960's Widom found that the singularities in thermodynamic quanti ties were well described by homogeneous functions. Kadanoff extended the homogeneity hypothesis to correlation functions and linked it to the idea of scale invariance. In the early 1970's Wilson showed how Kadanoff's rescaling could be explicitly carried out near the fixed point of a flow in Hamiltonian space. He made the first practical renormalization-group calculation of the flow induced by the elimination of short-wave-length Fourier components of the order-parameter field. The univer sality of the critical behavior emerges in a natural way in this approach, with a different fixed point for each universality class. The discovery by Wilson and Fisher of a systematic expansion procedure in E for a system in d = 4 - E dimen sions was followed by a cascade of calculations of critical quantities as a function of d and of the order-parameter dimensionality n.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 236 pp. Englisch.

Seller Inventory # 9783642818271

Title
Real-Space Renormalization
Author
T. W. Burkhardt
Publisher
Springer, Springer Dez 2011
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3642818277
ISBN 13
9783642818271
Item weight
415 grams
Dimensions
244x170x13 mm

buchversandmimpf2000

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