相变和晶体对称性

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&nbs