C. Gruber, A. Hintermann, D. Merlini

Group Analysis of Classical Lattice Systems

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Physics .60
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-08137-1
• 1977
• Seitenzahl: 348
• Erscheinungstermin: 1. März 1977
• Englisch
• Abmessung: 244mm x 170mm x 19mm
• Gewicht: 785g
• ISBN-13: 9783540081371
• ISBN-10: 3540081372
• Artikelnr.: 24625501

Inhaltsangabe

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.