Group Analysis of Classical Lattice Systems (Lecture Notes in Physics)

C. Gruber, A. Hintermann, D. Merlini

ISBN 10: 3540081372 / ISBN 13: 9783540081371

Editore: Springer 1977-01-03, 1977

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Codice articolo 6666-IUK-9783540081371

Dati bibliografici

• Titolo: Group Analysis of Classical Lattice Systems (Lecture Notes in Physics)
• Editore: Springer 1977-01-03
• Data di pubblicazione: 1977
• Lingua: Inglese
• ISBN 10: 3540081372
• ISBN 13: 9783540081371
• Rilegatura: Paperback
• Condizione: New

Descrizione articolo

Contenuti

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.