Reconstructive Phase Transitions

Reconstructive Phase Transitions

Author: Pierre Tol‚dano

Publisher: World Scientific

Published: 1996

Total Pages: 424

ISBN-13: 9789810223649

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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.


Phase Transitions in Complex Fluids

Phase Transitions in Complex Fluids

Author: Pierre Tol‚dano

Publisher: World Scientific

Published: 1998

Total Pages: 476

ISBN-13: 9789810232603

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This important and timely book deals with the theoretical and experimental investigation of the phase transitions which occur in complex fluid systems, namely lyotropic systems, microemulsions, colloids, gels, polymers, biological membranes, Langmuir monolayers, and ferrofluids. It contains 20-odd review papers from the major contributors to this rapidly growing field of research, summarizing the main results obtained in the description and understanding of the phase transitions taking place between the isotopic, nematic, cholesteric, lamellar, hexagonal, and cubic mesophases of complex fluids.


Phase Transitions and Crystal Symmetry

Phase Transitions and Crystal Symmetry

Author: Yurii Aleksandrovich Izyumov

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 462

ISBN-13: 9400919204

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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.


Discontinuous Phase Transitions In Condensed Matter: Symmetry Breaking In Bulk Martensite, Quasiperiodic And Low-dimensional Nanostructures

Discontinuous Phase Transitions In Condensed Matter: Symmetry Breaking In Bulk Martensite, Quasiperiodic And Low-dimensional Nanostructures

Author: Vladimir Dmitriev

Publisher: World Scientific

Published: 2023-01-19

Total Pages: 469

ISBN-13: 1800612931

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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.


Fundamentals of Solid-State Phase Transitions, Ferromagnetism and Ferroelectricity

Fundamentals of Solid-State Phase Transitions, Ferromagnetism and Ferroelectricity

Author: Yuri Mnyukh

Publisher: Directscientific Press

Published: 2010-01-19

Total Pages: 338

ISBN-13: 9780615339726

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The author's experimental discoveries in the field of solid-state phase transitions have brought about a thorough explanation of this phenomenon, including the puzzling nature of "lamda-anomalies." These phase transitions are found to be always a nucleation and crystal growth in a solid medium, while "second (or higher) order" phase transitions are a misconception: they do not exist. Ramifications of this new understanding are substatial. In this book the reader will find the first unified account for fundamentals of the three great areas of solid-state physics? Phase transitions, ferromagnetism and ferroelectricity, free of the inconsistencies of the conventional theories.


Photoinduced Phase Transitions

Photoinduced Phase Transitions

Author: K. Nasu

Publisher: World Scientific

Published: 2004

Total Pages: 360

ISBN-13: 9789812565723

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A new class of insulating solids was recently discovered. Whenirradiated by a few visible photons, these solids give rise to amacroscopic excited domain that has new structural and electronicorders quite different from the starting ground state. This occurrenceis called photoinduced phase transition, and this multi-authoredbook reviews recent theoretical and experimental studies of this newphenomenon.


High-Pressure Crystallography

High-Pressure Crystallography

Author: Elena Boldyreva

Publisher: Springer Science & Business Media

Published: 2010-08-20

Total Pages: 603

ISBN-13: 9048192579

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This unique book is devoted to the theme of crystallographic studies at high pressure. It places emphasis on the phenomena characteristic to the compressed state of matter, as well as experimental and theoretical techniques, used to study these phenomena.


Space Groups for Solid State Scientists

Space Groups for Solid State Scientists

Author: Michael Glazer

Publisher: Academic Press

Published: 2013-01-03

Total Pages: 423

ISBN-13: 0123946158

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This comprehensively revised – essentially rewritten – new edition of the 1990 edition (described as "extremely useful" by MATHEMATICAL REVIEWS and as "understandable and comprehensive" by Scitech) guides readers through the dense array of mathematical information in the International Tables Volume A. Thus, most scientists seeking to understand a crystal structure publication can do this from this book without necessarily having to consult the International Tables themselves. This remains the only book aimed at non-crystallographers devoted to teaching them about crystallographic space groups. - Reflecting the bewildering array of recent changes to the International Tables, this new edition brings the standard of science well up-to-date, reorganizes the logical order of chapters, improves diagrams and presents clearer explanations to aid understanding - Clarifies, condenses and simplifies the meaning of the deeply written, complete Tables of Crystallography into manageable chunks - Provides a detailed, multi-factor, interdisciplinary explanation of how to use the International Tables for a number of possible, hitherto unexplored uses - Presents essential knowledge to those needing the necessary but missing pedagogical support and detailed advice – useful for instance in symmetry of domain walls in solids


High Pressure Geochemistry & Mineral Physics

High Pressure Geochemistry & Mineral Physics

Author: S. Mitra

Publisher: Elsevier

Published: 2004-12-11

Total Pages: 1271

ISBN-13: 008045822X

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Significant achievements have been made at the cross-roads of physics and planetary science. In the second half of the twentieth century, the discipline of planetary sciences has witnessed three major episodes which have revolutionized its approach and content: (i) the plate-tectonic theory, (ii) human landing and discoveries in planetary astronomy and (iii) the extraordinary technical advancement in high P-T studies, which have been abetted by a vast improvement in computational methods. Using these new computational methods, such as first principles including ab initio models, calculations have been made for the electronic structure, bonding, thermal EOS, elasticity, melting, thermal conductivity and diffusivity. In this monograph, the boundaries of the definitions of a petrologist, geochemist, geophysicist or a mineralogist have been willfully eliminated to bring them all under the spectrum of "high-pressure geochemistry" when they deal with any material (quintessentially a chemical assemblage) - terrestrial or extraterrestrial - under the conditions of high-pressure and temperature. Thus, a petrologist using a spectrometer or any instrument for high-pressure studies of a rock or a mineral, or a geochemist using them for chemical synthesis and characterization, is better categorized as a "high-pressure geochemist" rather than any other kind of disciplinarian.The contents of this monograph bring together, under one cover, apparently disparate disciplines like solid-earth geophysics and geochemistry as well as material science and condensed-matter physics to present a thorough overview of high pressure geochemistry. Indeed, such interdisciplinary activities led to the discovery of new phenomena such as high P-T behaviour in metal oxides (e.g. Mott transition), novel transitions such as amorphization, changes in order-disorder in crystals and the anomalous properties of oxide melts.


Complex Concentrated Alloys (CCAs)

Complex Concentrated Alloys (CCAs)

Author: Sundeep Mukherjee

Publisher: MDPI

Published: 2020-11-04

Total Pages: 278

ISBN-13: 3039434748

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This book is a collection of several unique articles on the current state of research on complex concentrated alloys, as well as their compelling future opportunities in wide ranging applications. Complex concentrated alloys consist of multiple principal elements and represent a new paradigm in structural alloy design. They show a range of exceptional properties that are unachievable in conventional alloys, including high strength–ductility combination, resistance to oxidation, corrosion/wear resistance, and excellent high-temperature properties. The research articles, reviews, and perspectives are intended to provide a wholistic view of this multidisciplinary subject of interest to scientists and engineers.