Group Analysis of Classical Lattice Systems
Springer Berlin (Hersteller)
978-3-540-37407-7 (ISBN)
Definitions and group structure.- The duality transformation.- Duality relation for the correlation functions.- Phase transitions with spontaneous symmetry breakdown. Ergodic decomposition.- Series and cluster expansion an application of universality hypothesis a “generalized” droplet-model.- The partial trace transformation. Equation for the correlation functions and representation of the symmetry group.- Invariant equilibrium states and duality transformation for infinite systems.- Asano contraction and group structure. Analyticity properties of the free energy.- Analyticity and uniqueness of the invariant equilibrium state.- Definitions and group structure for systems with constraints.- Expansions for the partition function.- Partial trace method and equilibrium equations.- Duality transformation restricted to finite bonds.- Asano contractions and unicity of state.- General framework of higher spin systems.- Physical implications of the group structure.- Spin 1 lattice systems.- The duality transformation.- Zeroes of the partition function.
| Erscheint lt. Verlag | 15.9.2005 |
|---|---|
| Reihe/Serie | Lecture Notes in Physics |
| Physics and Astronomy | Physics and Astronomy (R0) |
| Zusatzinfo | XIV, 331 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Schlagworte | Analysis • Energy • Equilibrium • Group • Gruppe • Invariant • lattice • Mathematical Physics • Mathematische Physik • Phase • phase transition • Spin • Structure • symmetry • Symmetry group |
| ISBN-10 | 3-540-37407-8 / 3540374078 |
| ISBN-13 | 978-3-540-37407-7 / 9783540374077 |
| Zustand | Neuware |
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