A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics

Collet P. Eckmann J.-P.

ISBN 10: 3540086706 / ISBN 13: 9783540086703

Editore: Springer, 1986

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Dati bibliografici

• Titolo: A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics
• Editore: Springer
• Data di pubblicazione: 1986
• Lingua: Inglese
• ISBN 10: 3540086706
• ISBN 13: 9783540086703
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Contenuti

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.