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Group Analysis of Classical Lattice Systems

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Cover of 'Group Analysis of Classical Lattice Systems'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Definitions and group structure
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    Chapter 3 The duality transformation
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    Chapter 4 Duality relation for the correlation functions
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    Chapter 5 Phase transitions with spontaneous symmetry breakdown. Ergodic decomposition
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    Chapter 6 Series and cluster expansion an application of universality hypothesis a “generalized” droplet-model
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    Chapter 7 The partial trace transformation. Equation for the correlation functions and representation of the symmetry group
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    Chapter 8 Invariant equilibrium states and duality transformation for infinite systems
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    Chapter 9 Asano contraction and group structure. Analyticity properties of the free energy
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    Chapter 10 Analyticity and uniqueness of the invariant equilibrium state
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    Chapter 11 Definitions and group structure for systems with constraints
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    Chapter 12 Expansions for the partition function
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    Chapter 13 Partial trace method and equilibrium equations
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    Chapter 14 Duality transformation restricted to finite bonds
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    Chapter 15 Asano contractions and unicity of state
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    Chapter 16 General framework of higher spin systems
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    Chapter 17 Physical implications of the group structure
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    Chapter 18 Spin 1 lattice systems
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    Chapter 19 The duality transformation
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    Chapter 20 Zeroes of the partition function
Attention for Chapter 14: Duality transformation restricted to finite bonds
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Chapter title
Duality transformation restricted to finite bonds
Chapter number 14
Book title
Group Analysis of Classical Lattice Systems
Published in
ADS, January 1977
DOI 10.1007/3-540-08137-2_14
Book ISBNs
978-3-54-008137-1, 978-3-54-037407-7