P. Collet, J.-P. Eckmann

A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Physics 74
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-08670-3
• 1986.
• Seitenzahl: 212
• Erscheinungstermin: 1. Januar 1986
• Englisch
• Abmessung: 244mm x 170mm x 12mm
• Gewicht: 374g
• ISBN-13: 9783540086703
• ISBN-10: 3540086706
• Artikelnr.: 35977451

Inhaltsangabe

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.