Phase Transitions and Crystal Symmetry

Phase Transitions and Crystal Symmetry
Title Phase Transitions and Crystal Symmetry PDF eBook
Author Yurii Aleksandrovich Izyumov
Publisher Springer Science & Business Media
Total Pages 462
Release 2012-12-06
Genre Science
ISBN 9400919204

Download Phase Transitions and Crystal Symmetry Book in PDF, Epub and Kindle

About half a century ago Landau formulated the central principles of the phe nomenological second-order phase transition theory which is based on the idea of spontaneous symmetry breaking at phase transition. By means of this ap proach it has been possible to treat phase transitions of different nature in altogether distinct systems from a unified viewpoint, to embrace the aforemen tioned transitions by a unified body of mathematics and to show that, in a certain sense, physical systems in the vicinity of second-order phase transitions exhibit universal behavior. For several decades the Landau method has been extensively used to an alyze specific phase transitions in systems and has been providing a basis for interpreting experimental data on the behavior of physical characteristics near the phase transition, including the behavior of these characteristics in systems subject to various external effects such as pressure, electric and magnetic fields, deformation, etc. The symmetry aspects of Landau's theory are perhaps most effective in analyzing phase transitions in crystals because the relevant body of mathemat ics for this symmetry, namely, the crystal space group representation, has been worked out in great detail. Since particular phase transitions in crystals often call for a subtle symmetry analysis, the Landau method has been continually refined and developed over the past ten or fifteen years.

Phase Transitions and Crystal Symmetry

Phase Transitions and Crystal Symmetry
Title Phase Transitions and Crystal Symmetry PDF eBook
Author Yurii Aleksandrovich Izyumov
Publisher Springer
Total Pages 444
Release 1990-03-31
Genre Science
ISBN 9780792305422

Download Phase Transitions and Crystal Symmetry Book in PDF, Epub and Kindle

About half a century ago Landau formulated the central principles of the phe nomenological second-order phase transition theory which is based on the idea of spontaneous symmetry breaking at phase transition. By means of this ap proach it has been possible to treat phase transitions of different nature in altogether distinct systems from a unified viewpoint, to embrace the aforemen tioned transitions by a unified body of mathematics and to show that, in a certain sense, physical systems in the vicinity of second-order phase transitions exhibit universal behavior. For several decades the Landau method has been extensively used to an alyze specific phase transitions in systems and has been providing a basis for interpreting experimental data on the behavior of physical characteristics near the phase transition, including the behavior of these characteristics in systems subject to various external effects such as pressure, electric and magnetic fields, deformation, etc. The symmetry aspects of Landau's theory are perhaps most effective in analyzing phase transitions in crystals because the relevant body of mathemat ics for this symmetry, namely, the crystal space group representation, has been worked out in great detail. Since particular phase transitions in crystals often call for a subtle symmetry analysis, the Landau method has been continually refined and developed over the past ten or fifteen years.

Phase Transitions and Crystal Symmetry

Phase Transitions and Crystal Symmetry
Title Phase Transitions and Crystal Symmetry PDF eBook
Author Yurii Aleksandrovich Izyumov
Publisher
Total Pages 468
Release 1990-03-31
Genre
ISBN 9789400919211

Download Phase Transitions and Crystal Symmetry Book in PDF, Epub and Kindle

相变和晶体对称性

相变和晶体对称性
Title 相变和晶体对称性 PDF eBook
Author Y. A. Izyumov
Publisher
Total Pages 443
Release 1990
Genre Crystallography
ISBN 9787030238214

Download 相变和晶体对称性 Book in PDF, Epub and Kindle

本书从相变的物理机制、晶化及相图等方面系统地阐述了相变,是相变及晶化研究领域不可多得的一本好书。

Theory of Symmetry Changes at Continuous Phase Transitions

Theory of Symmetry Changes at Continuous Phase Transitions
Title Theory of Symmetry Changes at Continuous Phase Transitions PDF eBook
Author Jerzy Kociński
Publisher Elsevier Publishing Company
Total Pages 300
Release 1983
Genre Phase rule and equilibrium
ISBN

Download Theory of Symmetry Changes at Continuous Phase Transitions Book in PDF, Epub and Kindle

The Physics of Structural Phase Transitions

The Physics of Structural Phase Transitions
Title The Physics of Structural Phase Transitions PDF eBook
Author Minoru Fujimoto
Publisher Springer Science & Business Media
Total Pages 284
Release 2005-12-06
Genre Science
ISBN 0387268332

Download The Physics of Structural Phase Transitions Book in PDF, Epub and Kindle

Phase transitions in which crystalline solids undergo structural changes present an interesting problem in the interplay between the crystal structure and the ordering process. This text, intended for readers with some prior knowledge of condensed-matter physics, emphasizes the basic physics behind such spontaneous structural changes in crystals. Starting with the relevant thermodynamic principles, the book discusses the nature of order variables and their collective motion in a crystal lattice; in a structural phase transition a singularity in such a collective mode is responsible for the lattice instability, as revealed by soft phonons. This mechanism is analogous to the interplay of a charge-density wave and a periodically deformed lattice in low-dimensional conductors. The text also describes experimental methods for modulated crystal structures and gives examples of structural changes in representative systems. The book is divided into two parts. The first, theoretical, part includes such topics as: the Landau theory of phase transitions; statistics, correlations and the mean-field approximation; pseudospins and their collective modes; soft lattice modes and pseudospin condensates; lattice imperfections and their role in the phase transitions of real crystals. The second part discusses experimental studies of modulated crystals using x-ray diffraction, neutron inelastic scattering, light scattering, dielectric measurements, and magnetic resonance spectroscopy.

Continuum Models for Phase Transitions and Twinning in Crystals

Continuum Models for Phase Transitions and Twinning in Crystals
Title Continuum Models for Phase Transitions and Twinning in Crystals PDF eBook
Author Mario Pitteri
Publisher CRC Press
Total Pages 390
Release 2002-06-27
Genre Mathematics
ISBN 1420036149

Download Continuum Models for Phase Transitions and Twinning in Crystals Book in PDF, Epub and Kindle

Continuum Models for Phase Transitions and Twinning in Crystals presents the fundamentals of a remarkably successful approach to crystal thermomechanics. Developed over the last two decades, it is based on the mathematical theory of nonlinear thermoelasticity, in which a new viewpoint on material symmetry, motivated by molecular theories, plays a c