A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics
Published on 1. January 1986
Book
Paperback/Softback
III, 202 pages
978-3-540-08670-3 (ISBN)
Description
Probabilistic formulation of the problem.- The RG-transformation for the hierarchical model.- The existence of a non-trivial fixed point.- The flow around the fixed point.- Discussion of the critical indices.- Global properties of the flow.- Discussion of the thermodyamic limit.- Perturbation theory.- Explicit perturbation calculation for the Eigenvalue ?2.- Linear problems and the existence of ??.- Differentiability of ø?.- The normal form of the flow.- Crossover. Part 2.- Crossover, Part II. A) Single phase region.- Crossover Part II. B) Two phase region.- Miscellaneous short proofs.
More details
Series
Edition
1978 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
2 s/w Abbildungen
III, 202 p. 2 illus.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 12 mm
Weight
375 gr
ISBN-13
978-3-540-08670-3 (9783540086703)
DOI
10.1007/BFb0017107
Schweitzer Classification
Content
Probabilistic formulation of the problem.- The RG-transformation for the hierarchical model.- The existence of a non-trivial fixed point.- The flow around the fixed point.- Discussion of the critical indices.- Global properties of the flow.- Discussion of the thermodyamic limit.- Perturbation theory.- Explicit perturbation calculation for the Eigenvalue ?2.- Linear problems and the existence of ??.- Differentiability of ø?.- The normal form of the flow.- Crossover. Part 2.- Crossover, Part II. A) Single phase region.- Crossover Part II. B) Two phase region.- Miscellaneous short proofs.