A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics
Seiten
2005
Springer Berlin (Hersteller)
9783540358992 (ISBN)
Springer Berlin (Hersteller)
9783540358992 (ISBN)
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.
| Erscheint lt. Verlag | 1.12.2005 |
|---|---|
| Reihe/Serie | Lecture Notes in Physics |
| Physics and Astronomy | Physics and Astronomy (R0) |
| Zusatzinfo | III, 202 p. 2 illus. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika |
| Schlagworte | eigenvalue • Mechanics • perturbation theory • Phase • renormalization • Renormalization Group • Statistical Mechanics |
| ISBN-13 | 9783540358992 / 9783540358992 |
| Zustand | Neuware |
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