Group Analysis of Classical Lattice Systems
Published on 1. March 1977
Book
Paperback/Softback
XIV, 331 pages
978-3-540-08137-1 (ISBN)
Description
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.
More details
Series
Edition
1977 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XIV, 331 p.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 19 mm
Weight
601 gr
ISBN-13
978-3-540-08137-1 (9783540081371)
DOI
10.1007/3-540-08137-2
Schweitzer Classification
Content
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.