Phase Transitions And Crystal Symmetry

Author : Yurii Aleksandrovich Izyumov,V.N. Syromyatnikov
Publisher : Springer Science & Business Media
Page : 462 pages
File Size : 48,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400919204

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Phase Transitions and Crystal Symmetry by Yurii Aleksandrovich Izyumov,V.N. Syromyatnikov Pdf

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,V.N. Syromyatnikov
Publisher : Springer
Page : 444 pages
File Size : 45,5 Mb
Release : 1990-03-31
Category : Science
ISBN : 0792305426

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Phase Transitions and Crystal Symmetry by Yurii Aleksandrovich Izyumov,V.N. Syromyatnikov Pdf

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,V. N. Syromyatnikov
Publisher : Unknown
Page : 468 pages
File Size : 45,5 Mb
Release : 1990-03-31
Category : Electronic
ISBN : 9400919212

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Phase Transitions and Crystal Symmetry by Yurii Aleksandrovich Izyumov,V. N. Syromyatnikov Pdf

Author : Y. A. Izyumov,I︠U︡riĭ Aleksandrovich Izi︠u︡mov,Vladimir N. Syromjatnikov
Publisher : Unknown
Page : 443 pages
File Size : 49,6 Mb
Release : 1990
Category : Crystallography
ISBN : 7030238214

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相变和晶体对称性 by Y. A. Izyumov,I︠U︡riĭ Aleksandrovich Izi︠u︡mov,Vladimir N. Syromjatnikov Pdf

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 : Mario Pitteri,G. Zanzotto
Publisher : CRC Press
Page : 392 pages
File Size : 49,9 Mb
Release : 2002-06-27
Category : Mathematics
ISBN : 9781420036145

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Continuum Models for Phase Transitions and Twinning in Crystals by Mario Pitteri,G. Zanzotto Pdf

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 central role. This is the first organized presentation of a nonlinear elastic approach to twinning and displacive phase transition in crystalline solids. The authors develop geometry, kinematics, and energy invariance in crystals in strong connection and with the purpose of investigating the actual mechanical aspects of the phenomena, particularly in an elastostatics framework based on the minimization of a thermodynamic potential. Interesting for both mechanics and mathematical analysis, the new theory offers the possibility of investigating the formation of microstructures in materials undergoing martensitic phase transitions, such as shape-memory alloys. Although phenomena such as twinning and phase transitions were once thought to fall outside the range of elastic models, research efforts in these areas have proved quite fruitful. Relevant to a variety of disciplines, including mathematical physics, continuum mechanics, and materials science, Continuum Models for Phase Transitions and Twinning in Crystals is your opportunity to explore these current research methods and topics.

Author : Jerzy Kociński
Publisher : Elsevier Publishing Company
Page : 300 pages
File Size : 55,7 Mb
Release : 1983
Category : Phase rule and equilibrium
ISBN : UCAL:B4477803

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Theory of Symmetry Changes at Continuous Phase Transitions by Jerzy Kociński Pdf

Author : B. K. Vainshtein,I. Hargittai
Publisher : Elsevier
Page : 321 pages
File Size : 44,8 Mb
Release : 2014-06-28
Category : Science
ISBN : 9781483299105

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Crystal Symmetries by B. K. Vainshtein,I. Hargittai Pdf

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 : Hugo F. Franzen
Publisher : Springer Science & Business Media
Page : 108 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642489471

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Second-Order Phase Transitions and the Irreducible Representation of Space Groups by Hugo F. Franzen Pdf

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.

Author : E. K. Salje
Publisher : Cambridge University Press
Page : 304 pages
File Size : 45,5 Mb
Release : 1993-04-22
Category : Science
ISBN : 0521429366

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Phase Transitions in Ferroelastic and Co-elastic Crystals by E. K. Salje Pdf

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 : Pierre Tol‚dano,Vladimir Dmitriev
Publisher : World Scientific
Page : 424 pages
File Size : 42,8 Mb
Release : 1996
Category : Science
ISBN : 9810223641

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Reconstructive Phase Transitions by Pierre Tol‚dano,Vladimir Dmitriev Pdf

This book deals with the phenomenological theory of first-order structural phase transitions, with a special emphasis on reconstructive transformations in which a group-subgroup relationship between the symmetries of the phases is absent. It starts with a unified presentation of the current approach to first-order phase transitions, using the more recent results of the Landau theory of phase transitions and of the theory of singularities. A general theory of reconstructive phase transitions is then formulated, in which the structures surrounding a transition are expressed in terms of density-waves, providing a natural definition of the transition order-parameters, and a description of the corresponding phase diagrams and relevant physical properties. The applicability of the theory is illustrated by a large number of concrete examples pertaining to the various classes of reconstructive transitions: allotropic transformations of the elements, displacive and order-disorder transformations in metals, alloys and related structures, crystal-quasicrystal transformations.

Author : Duan Feng,Guojun Jin
Publisher : World Scientific
Page : 612 pages
File Size : 40,9 Mb
Release : 2005
Category : Science
ISBN : 9789812387110

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Introduction to Condensed Matter Physics by Duan Feng,Guojun Jin Pdf

This is volume 1 of two-volume book that presents an excellent, comprehensive exposition of the multi-faceted subjects of modern condensed matter physics, unified within an original and coherent conceptual framework. Traditional subjects such as band theory and lattice dynamics are tightly organized in this framework, while many new developments emerge spontaneously from it. In this volume,? Basic concepts are emphasized; usually they are intuitively introduced, then more precisely formulated, and compared with correlated concepts.? A plethora of new topics, such as quasicrystals, photonic crystals, GMR, TMR, CMR, high Tc superconductors, Bose-Einstein condensation, etc., are presented with sharp physical insights.? Bond and band approaches are discussed in parallel, breaking the barrier between physics and chemistry.? A highly accessible chapter is included on correlated electronic states ? rarely found in an introductory text.? Introductory chapters on tunneling, mesoscopic phenomena, and quantum-confined nanostructures constitute a sound foundation for nanoscience and nanotechnology.? The text is profusely illustrated with about 500 figures.

Author : J C Tolédano,P Tolédano
Publisher : World Scientific Publishing Company
Page : 472 pages
File Size : 40,7 Mb
Release : 1987-08-01
Category : Science
ISBN : 9789813103948

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The Landau Theory of Phase Transitions by J C Tolédano,P Tolédano Pdf

The contents of this book stems from three different objectives. First, it is an introduction to the basic principles and techniques of Landau's theory, which is intended for teaching purposes. A second purpose of the book provides the practical methods for applying Landau's theory to complex systems. The last objective of the book is to incorporate the developments which have arisen in the last fifteen years from the extensive application of the theory to a variety of physical systems.

Author : Pierre Tolédano,Vladimir Dmitriev
Publisher : World Scientific
Page : 416 pages
File Size : 44,9 Mb
Release : 1996-09-30
Category : Technology & Engineering
ISBN : 9789814500029

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Reconstructive Phase Transitions by Pierre Tolédano,Vladimir Dmitriev Pdf

This book deals with the phenomenological theory of first-order structural phase transitions, with a special emphasis on reconstructive transformations in which a group-subgroup relationship between the symmetries of the phases is absent. It starts with a unified presentation of the current approach to first-order phase transitions, using the more recent results of the Landau theory of phase transitions and of the theory of singularities. A general theory of reconstructive phase transitions is then formulated, in which the structures surrounding a transition are expressed in terms of density-waves, providing a natural definition of the transition order-parameters, and a description of the corresponding phase diagrams and relevant physical properties. The applicability of the theory is illustrated by a large number of concrete examples pertaining to the various classes of reconstructive transitions: allotropic transformations of the elements, displacive and order-disorder transformations in metals, alloys and related structures, crystal-quasicrystal transformations. Contents: Phenomenological Theory of First-Order Phase TransitionsDensity-Wave Theory of Reconstructive Phase TransitionsDisplacive Reconstructive Phase TransitionsOrdering Type Reconstructive Phase TransitionsCrystal-Quasicrystal Reconstructive Phase TransitionsGroup-Theoretical Aspects of the Phenomenological Theory of Structural Phase Transitions Readership: Condensed matter and materials science physicists and chemists. keywords:First-Order Phase Transitions;Reconstructive Phase Transitions;Crystallographic Aspects Of Phase Transformations;Order-Disorder Transformations;Displacive Transformations;Phenomenological Theory;Phase Diagrams;Transition Order Parameter;Group-Theoretical Methods

Author : Minoru Fujimoto
Publisher : Springer Science & Business Media
Page : 256 pages
File Size : 47,9 Mb
Release : 2013-04-09
Category : Science
ISBN : 9781475727258

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The Physics of Structural Phase Transitions by Minoru Fujimoto Pdf

Intended for readers with some prior knowledge of condensed-matter physics, this text emphasises the basic physics behind spontaneous structural changes in crystals. Starting with the relevant thermodynamic principles, the author discusses the nature of order variables and their collective motion in a crystal lattice. He also goes on to describe experimental methods for modulated crystal structures and gives examples of structural changes in representative systems. Both a graduate text and reference work.

Author : A S Shumovsky,V I Yukalov
Publisher : World Scientific
Page : 253 pages
File Size : 55,6 Mb
Release : 1990-11-30
Category : Science
ISBN : 9789814507660

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Lectures On Phase Transitions by A S Shumovsky,V I Yukalov Pdf

This book treats the problem of phase transitions, emphasizing the generality and universality of the methods and models used. The course is basically concentrated on the problems of vacuum degeneration in macroscopic systems and a fundamental concept of quasiaverages by Bogolubov playing a special role in the theory of phase transitions and critical phenomena. An analysis of the connection between phase transition and spontaneous symmetry breaking in a macroscopic system allows a unique description of both first- and second-order phase transitions.The unique features of this book are:(i) a unique approach of describing first — as well as second-order phase transitions, based on the Bogolubov concept of quasi-averages.(ii) a detailed presentation of the material and at the same time a review of modern problems.(iii) a general character of developed ideas that could be applied to various particular systems of condensed matter physics, nuclear physics and high-energy physics.