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Treats phase transition theory and the analysis of phase transitions in terms of both Landau theory and fluctuation theory,with particular attention given to crystals and quasicrystals．Also included is an overview of color symmetry applications in phase transition theory． A separate chapter is devoted to martensite transitions and this includes an analysis of soliton solutions of nonlinear equations of elasticity．Revised and expanded translation from the Russian edition of 1984．

Contents

Preface

Preface to the English Edition

Notation

Chapter 1.Introduction to Phenomenological Phase Transition Theory

　1.Fundamentals of Landau’S Thermodynamic Theory

Elementary thermodynamic analysis

Spontaneous symmetry

breaking at a continuous phase transition

The Landau condi—tion for a second．order phase transition

Further development of Landau’S theory

　2.Prerequisites on Space-group Representations

Space-group irreducible representations

Irreducible representa-tions and their decomposition

　ReferenCes

Chapter 2.Physical Realization of the Order Parameters at a Micro scopic Level of Description

3.Tensor Representation of the Space Group on a Basis of Localized Atomic Functions

Constructing crystal space group reducible representations(20)．

The stabilizer method

Constructing basis functions for star arms

4.Permutational Representation and its Basis

A summary of formulas(2s)．

The OP for ordering in AB type alloys

The OP for ordering in Nb—H and Ta-H hydrides

5.Vector Representation and its Basis

A summary of formulas

The OP at a structural phase transition in A一15 compounds

The OP at a structural phase transition in C一15 compounds

6.Pseudovector Representation and its Basis

A description of the magnetically ordered state

The OP at a magnetic phase transition in a garnet

References

Chapter 3.Symmetry Change at Phase Transitions

7.Change ill Translational Symmetry

The Brillouin zone and the symmetric points in it

Arm mixing

and the transition channel

Magnetic lattices

8.The Totai Symmetry Change

Principles for finding the symmetry group of a new phase(74)．

An example of a group．theoretic method of searching for dissymmetricphases(77)．

9.Domains

Domains as a consequence of the Curie principle

A symme try classification of domains

Arm，orientational and antiphase domains

Examples of an analysis of the domain structure

10.The Paraphase

The initial phase and the paraphase

Major criteria for para-phase search

An example of choosing the paraphase

Refetences

Chapter 4.Analysis of the Thermodynamic Potential

11.Invariant Expressions of the Thermodynamic Potentia

A straightforward(direct)method of constructing polynomial invari—ants

Constructing the＆for the structural phase transition inC一1 5 compounds

Constructing the＠for the structural phasetransition in A-15 compounds

12.Integral Rational Basis of Invariants

Genera]remarks(104)．The HRBI construetion algorithm

Solv—ability of the group and the minimal IRBI

13.Examples of the Construction of an IRBI

Constructing the IRBI for the structural transition in C-15 cornpounds

Construction of the IRBI for the structural transitionin A．15 compounds

Constructing the IRBI for the structuraltransition in MnAs

……

Chapter 6.Macroscopic Order Parameters

Chapter 7.Phase Transitions in an External Field

Chapter 8.Martensite Transformations

Chapter 9.Incommensurate Periodicity Phases

Chapter 10.Color Symmetry and its Role in Phase Transition Theory

Chapter 11.Fluctuations and Symmetry

Rcfcrences

Appendix

Index

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《相变和晶体对称性（影印版）》内容简介：Treats phase transition theory and the analysis of phase transitions in terms of both Landau theory and fluctuation theory,with particular attention given to crystals and quasicrystals．Also included is an overview of color symmetry applications in phase transition theory． A separate chapter is devoted to martensite transitions and this includes an analysis of soliton solutions of nonlinear equations of elasticity．Revised and expanded translation from the Russian edition of 1984．