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相变和晶体对称性 (俄)伊尔莫夫 著 科学出版社书籍详细信息

  • I***N:9787030238214
  • 作者:暂无作者
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  • 出版时间:2009-01
  • 页数:443
  • 价格:50.00
  • 纸张:胶版纸
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  • 开本:16开
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内容简介:

Treats phase transition theory and the ***ysis of phase transiti*** 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 applicati*** in phase transition theory. A separate chapter is devoted to martensite transiti*** and this includes an ***ysis of soliton soluti*** of nonlinear equati*** of elasticity.Revised and expanded translation from the Russian edition of 1984.


书籍目录:

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 ***ysis

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 Representati***

Space-group irreducible representati***

Irreducible representa-ti*** and their deposition

 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 Functi***

C***tructing crystal space group reducible representati***(20).

The stabilizer method

C***tructing basis functi*** 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 pounds

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

6.Pseudovector Representation and its Basis

A description of the magically ordered state

The OP at a magic phase transition in a gar

References

Chapter 3.Symmetry Change at Phase Transiti***

7.Change ill Translational Symmetry

The Brillouin zone and the symmetric points in it

Arm ming

and the transition channel

Magic 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 c***equence of the Curie principle

A symme try classification of domains

Arm,orientational and antiphase domains

Examples of an ***ysis 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 Expressi*** of the Thermodynamic Potentia

A straightforward(direct)method of c***tructing polynomial invari—ants

C***tructing the&for the structural phase transition inC一1 5 pounds

C***tructing the@for the structural phasetransition in A-15 pounds

12.Integral Rational Basis of Invariants

Genera]remarks(104).The HRBI c***truetion algorithm

Solv—ability of the group and the minimal IRBI

13.Examples of the C***truction of an IRBI

C***tructing the IRBI for the structural transition in C-15 cornpounds

C***truction of the IRBI for the structural transitionin A.15 pounds

C***tructing the IRBI for the structuraltransition in MnAs

……

Chapter 6.Macroscopic Order Parameters

Chapter 7.Phase Transiti*** in an External Field

Chapter 8.Martensite Transformati***

Chapter 9.Inmensurate Periodicity Phases

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

Chapter 11.Fluctuati*** and Symmetry

Rcfcrences

Appendix

Index


作者介绍:

作者:(俄国)伊尔莫夫


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书籍介绍

《相变和晶体对称性(影印版)》内容简介:Treats phase transition theory and the ***ysis of phase transiti*** 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 applicati*** in phase transition theory. A separate chapter is devoted to martensite transiti*** and this includes an ***ysis of soliton soluti*** of nonlinear equati*** of elasticity.Revised and expanded translation from the Russian edition of 1984.


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