Group Analysis of Classical Lattice Systems

Bibliographic Details
Main Authors: Gruber, C., Hintermann, A. (Author), Merlini, D. (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1977, 1977
Edition:1st ed. 1977
Series:Lecture Notes in Physics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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