Phase Transitions And Crystal Symmetry
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Phase Transitions And Crystal Symmetry
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Author : Юрий Александрович Изюмов
language : en
Publisher: Springer Science & Business Media
Release Date : 1990
Phase Transitions And Crystal Symmetry written by Юрий Александрович Изюмов and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Language Arts & Disciplines categories.
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
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Author : Yurii Aleksandrovich Izyumov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Phase Transitions And Crystal Symmetry written by Yurii Aleksandrovich Izyumov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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
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Author : Yurii Aleksandrovich Izyumov
language : en
Publisher: Springer
Release Date : 2011-10-07
Phase Transitions And Crystal Symmetry written by Yurii Aleksandrovich Izyumov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-07 with Science categories.
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.
Continuum Models For Phase Transitions And Twinning In Crystals
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Author : Mario Pitteri
language : en
Publisher: CRC Press
Release Date : 2002-06-27
Continuum Models For Phase Transitions And Twinning In Crystals written by Mario Pitteri and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-06-27 with Mathematics categories.
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
Reconstructive Phase Transitions In Crystals And Quasicrystals
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Author : Vladimir Dmitriev
language : en
Publisher: World Scientific
Release Date : 1996-09-30
Reconstructive Phase Transitions In Crystals And Quasicrystals written by Vladimir Dmitriev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-09-30 with Science categories.
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.
Crystal Symmetries
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Author : B. K. Vainshtein
language : en
Publisher: Elsevier
Release Date : 2017-07-26
Crystal Symmetries written by B. K. Vainshtein and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-26 with Science categories.
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.
Introduction To Condensed Matter Physics
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Author : Duan Feng
language : en
Publisher: World Scientific
Release Date : 2005
Introduction To Condensed Matter Physics written by Duan Feng and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
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.
Phase Transitions And Crystal Symmetry
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Author : Yurii Aleksandrovich Izyumov
language : en
Publisher:
Release Date : 1990-03-31
Phase Transitions And Crystal Symmetry written by Yurii Aleksandrovich Izyumov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-03-31 with categories.
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Author : Y. A. Izyumov
language : en
Publisher:
Release Date : 1990
written by Y. A. Izyumov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Crystallography categories.
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。
Discontinuous Phase Transitions In Condensed Matter Symmetry Breaking In Bulk Martensite Quasiperiodic And Low Dimensional Nanostructures
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Author : Vladimir Dmitriev
language : en
Publisher: World Scientific
Release Date : 2023-01-19
Discontinuous Phase Transitions In Condensed Matter Symmetry Breaking In Bulk Martensite Quasiperiodic And Low Dimensional Nanostructures written by Vladimir Dmitriev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-19 with Science categories.
Discontinuous (first-order) phase transitions constitute the most fundamental and widespread type of structural transitions existing in Nature, forming a large majority of the transitions found in elemental crystals, alloys, inorganic compounds, minerals and complex fluids. Nevertheless, only a small part of them, namely, weakly discontinuous transformations, were considered by phenomenological theories, leaving aside the most interesting from a theoretical point of view and the most important for application cases. Discontinuous Phase Transitions in Condensed Matter introduces a density-wave approach to phase transitions which results in a unified, symmetry-based, model-free theory of the weak crystallization of molecular mixtures to liquid-crystalline mesophases, strongly discontinuous crystallization from molten metals and alloys to conventional, fully segregated crystals, to aperiodic, quasi-crystalline structures. Assembly of aperiodic closed virus capsids with non-crystallographic symmetry also falls into the domain of applicability of the density-wave approach.The book also considers the applicability domains of the symmetry-based approach in physics of low-dimensional systems. It includes comparisons of stability of different surface superstructures and metal monoatomic coverage structures on the surface of single-crystalline substrates. The example of the twisted graphene bilayer demonstrates how parametrization in the spirit of an advanced phenomenological approach can establish symmetry-controlled, and therefore model-free, links between geometrical parameters of the twisted bilayer structure and reconstruction of its Brillouin zone and energy bands.