A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics (Lecture Notes in Physics, 74)
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.
Keywords
Science & MathPhysicsMechanicsSpecialty BoutiqueNew, Used & Rental Textbooks
1986Book
Author(s)P. Collet, J.-P Eckmann
PublisherSpringer
ISBN9783540086703
LanguageEnglish
