A renormalization group analysis of the hierarchical model in statistical mechanics
著者
書誌事項
A renormalization group analysis of the hierarchical model in statistical mechanics
(Lecture notes in physics, 74)
Springer-Verlag, 1978
- : gw
- : us
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注記
Includes bibliographies and index
内容説明・目次
目次
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 o?.- 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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