A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics

ISBN-13: 9783540086703 / Angielski / Miękka / 1986 / 202 str.

P. Collet;J.-P. Eckmann

Opis

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Spis treści

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.