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A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics [electronic resource] / by Pierre Collet, Jean-Pierre Eckmann.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Physics ; 74Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1978Description: III, 202 p. 2 illus. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540358992
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 530 23
LOC classification:
  • QC1-75
Online resources:
Contents:
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.
In: Springer eBooks
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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.

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