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| 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.
| 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.
| 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
| 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。
| 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
| 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.
| 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
| Author | : B. K. Vainshtein |
| Publisher | : Elsevier |
| Total Pages | : 330 |
| Release | : 2017-07-26 |
| Genre | : Science |
| ISBN | : 1483299104 |
Download Crystal Symmetries Book in PDF, ePub and Kindle
Crystal Symmetries is a timely account of the progress in the most diverse fields of crystallography. It presents a broad overview of the theory of symmetry and contains state of the art reports of its modern directions and applications to crystal physics and crystal properties. Geometry takes a special place in this treatise. Structural aspects of phase transitions, correlation of structure and properties, polytypism, modulated structures, and other topics are discussed. Applications of important techniques, such as X-ray crystallography, biophysical studies, EPR spectroscopy, crystal optics, and nuclear solid state physics, are represented. Contains 30 research and review papers.
| Author | : E. K. Salje |
| Publisher | : Cambridge University Press |
| Total Pages | : 304 |
| Release | : 1993-04-22 |
| Genre | : Science |
| ISBN | : 9780521429368 |
Download Phase Transitions in Ferroelastic and Co-elastic Crystals Book in PDF, ePub and Kindle
This textbook describes the fundamental principles of structural phase transitions in materials in an easily understandable form, suitable for both undergraduate and graduate students.
| Author | : Hugo F. Franzen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 108 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 3642489478 |
Download Second-Order Phase Transitions and the Irreducible Representation of Space Groups Book in PDF, ePub and Kindle
The lecture notes presented in this volume were developed over a period of time that originated with the investigation of a research problem, the distortion from NiAs-type to MnP-type, the group-theoretical implications of which were investigated in collaboration with Professors F. Jellinek and C. Haas of the Laboratory for Inorganic Chemistry at the University of Groningen during the 1973-1974 year. This distortion provides the major example that is worked through in the notes. The subject matter of the notes has been incorporated in part in the lectures of a course in Solid State Chemistry taught several times at Iowa State University, and formed the basis of a series of lectures presented at the Max-Planck Institute for Solid State Research in Stuttgart during 1981- 19821 and as part of a Solid State Chemistry course taught during the spring of 1982 at Arizona State University in Tempe. I wish here to express my gratitude to the Max-Planck Institute for Solid State Research and to Arizona State University for the opportunity and support they provided during the time I was developing and writing the lecture notes of this volume. I wish also to thank the many colleagues and students who have offered comments and suggestions that have improved the accuracy and readability of the notes, and who have provided stimulation through discussion of the ideas presented here. am especially indebted to Professors C. Haas and F.
