A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics
Collet, Pierre.
A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics [electronic resource] / by Pierre Collet, Jean-Pierre Eckmann. - III, 202 p. 2 illus. online resource. - Lecture Notes in Physics, 74 0075-8450 ; . - Lecture Notes in Physics, 74 .
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 ΓΈ? -- 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.
9783540358992
10.1007/BFb0017107 doi
Physics.
Physics, general.
QC1-75
530
A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics [electronic resource] / by Pierre Collet, Jean-Pierre Eckmann. - III, 202 p. 2 illus. online resource. - Lecture Notes in Physics, 74 0075-8450 ; . - Lecture Notes in Physics, 74 .
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 ΓΈ? -- 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.
9783540358992
10.1007/BFb0017107 doi
Physics.
Physics, general.
QC1-75
530