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A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics [electronic resource] /
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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| Main Authors: | , , |
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| Format: | Texto biblioteca |
| Language: | eng |
| Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg,
1978
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| Subjects: | Physics., Physics, general., |
| Online Access: | http://dx.doi.org/10.1007/BFb0017107 |
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| Summary: | 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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