A Renormalization group analysis of the hierarchical model in statistical mechanics

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Dettagli Bibliografici
Autori principali: Collet, Pierre, 1948-...., physicien, Eckmann, Jean-Pierre, 1944- (Autore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serie:Lecture notes in physics 74
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Edition sous un autre format:• A renormalization group analysis of the hierarchical model in statistical mechanics, Pierre Collet, Jean-Pierre Eckmann, Berlin, Springer-Verlag, 1978, 1 volume (199 pages), Lecture notes in physics, 3-540-08670-6
• A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics, Texte imprimé, 9783662210307
Sommario:
  • 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.