相变和晶体对称性（影印版）
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作者： （俄）伊尔莫夫著
出 版 社： 科学出版社
出版时间： 2009-1-1字数： 560000版次： 1页数： 443印刷时间： 2009-01-01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9787030238214包装： 精装内容简介
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．
目录
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
