Kinetics of First-order Phase Transitions with Long-range Repulsive Or Elastic Interactions [microform] PDF Download

Author: Maria Celeste Sagui
Publisher: National Library of Canada = Bibliothèque nationale du Canada
ISBN: 9780612026797
Category :
Languages : en
Pages : 328

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Author: Sanjay Puri
Publisher: CRC Press
ISBN: 1420008366
Category : Science
Languages : en
Pages : 356

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Book Description
Providing a comprehensive introduction with the necessary background material to make it accessible for a wide scientific audience, Kinetics of Phase Transitions discusses developments in domain-growth kinetics. This book combines pedagogical chapters from leading experts in this area and focuses on incorporating various experimentally releva

Author: Juern Schmelzer
Publisher: Vieweg+Teubner Verlag
ISBN: 9783322964281
Category : Technology & Engineering
Languages : de
Pages : 209

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Book Description
This booklet is devoted to the thermodynamic and kinetic description of first-order phase transitions. In general, the matter of the world exists in different phases. Normally phase ctlanges take place in ther­ modynamic equilibrium, which will be considered here. Typically,the system is rapidly quenched from a one-phase thermal equilibrium state to a nonequilibrium situation. During the so-ca lIed equilibrium phase transformation process the quenched supersaturated system evolves from the nonequilibrium state to an equilibrium one which consists of two coexisting phases. In aseries of books on phase transitions and critical phenomena (DDMB, GREEN, lEBDWITZ, 1972 - 19B3) an immense amount of material to different aspects of ttlis topic is summarized. The other type of phase transitions takes place in systems far from equilibrium. Due to 'the nonequi1ibrium boundary conditions and the flu­ xes from the environment into the system the final state of this so­ called nonequilibrium phase transition is a stable nonequilibrium si­ tuation. Such interesting processes (e. g. pattern formation, multista­ bi1ity) do not appear only in physics but also in chemistry, meteorolo­ gy, biology and many areas of engineering. Concerning questions in this context we recommend the reader to the monographs by HAKEN (197B), and EBElING, FEISTEl (1982). An overview of the problems of recent interest in this field is given in the Proceedings of the Third International Conference on Irreversible Processes and Dissipative Structures, edited by EBElING and Ul8RICHT (1986).

Author: Minoru Fujimoto
Publisher: Springer Science & Business Media
ISBN: 0387268332
Category : Science
Languages : en
Pages : 284

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Book Description
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: Ekhard K. H. Salje
Publisher:
ISBN:
Category :
Languages : en
Pages : 120

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Author: Nigel Goldenfeld
Publisher: CRC Press
ISBN: 0429973128
Category : Science
Languages : en
Pages : 313

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Covering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book is widely used both for core graduate statistical mechanics courses as well as for more specialized courses. Emphasizing understanding and clarity rather than technical manipulation, these lectures de-mystify the subject and show precisely "how things work." Goldenfeld keeps in mind a reader who wants to understand why things are done, what the results are, and what in principle can go wrong. The book reaches both experimentalists and theorists, students and even active researchers, and assumes only a prior knowledge of statistical mechanics at the introductory graduate level.Advanced, never-before-printed topics on the applications of renormalization group far from equilibrium and to partial differential equations add to the uniqueness of this book.

Author: T. Riste
Publisher: Springer Science & Business Media
ISBN: 9401119082
Category : Science
Languages : en
Pages : 456

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Book Description
Systems with competing energy scales are widespread and exhibit rich and subtle behaviour, although their systematic study is a relatively recent activity. This text presents lectures given at a NATO Advanced Study Institute reviewing the current knowledge and understanding of this fascinating subject, particularly with regard to phase transitions and dynamics, at an advanced tutorial level. Both general and specific aspects are considered, with competitions having several origins; differences in intrinsic interactions, interplay between intrinsic and extrinsic effects, such as geometry and disorder; irreversibility and non-equilibration. Among the specific physical application areas are supercooled liquids and glasses, high-temperature superconductors, flux or vortex pinning and motion, charge density waves, domain growth and coarsening, and electron solidification.

Author: Vitaly V. Slezov
Publisher: John Wiley & Sons
ISBN: 9783527627776
Category : Science
Languages : en
Pages : 429

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Book Description
Filling a gap in the literature, this crucial publication on the renowned Lifshitz-Slezov-Wagner Theory of first-order phase transitions is authored by one of the scientists who gave it its name. Prof Slezov spent decades analyzing this topic and obtained a number of results that form the cornerstone of this rapidly developing branch of science. Following an analysis of unresolved problems together with proposed solutions, the book develops a theoretical description of the overall course of first-order phase transformations, starting from the nucleation state right up to the late stages of coarsening. In so doing, the author illustrates the results by way of numerical computations and experimental applications. The outline of the general results is performed for segregation processes in solutions and the results used in the analysis of a variety of different topics, such as phase formation in multi-component solutions, boiling in one- and multi-component liquids, vacancy cluster evolution in solids with and without influence of radiation, as well as phase separation in helium at low temperatures. The result is a detailed overview of the theoretical description of the whole course of nucleation-growth processes and applications for a wide audience of scientists and students.

Author: Pierre Papon
Publisher: Springer Science & Business Media
ISBN: 3540333908
Category : Science
Languages : en
Pages : 419

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Book Description
This book occupies an important place at the crossroads of several fields central to materials sciences. The expanded second edition incorporates new developments in the states of matter physics, and includes end-of-chapter problems and complete answers.

Author: Kipton Marcos Barros
Publisher:
ISBN:
Category :
Languages : en
Pages : 228

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Abstract: Non-equilibrium physics in model systems with long-range Kac-type interactions is investigated. There are at least two advantages to working with long-range, near-mean-field models: (1) analytic calculations are tractable and (2) predictions can be made that are independent of system details. The latter gives hope that the phenomenology of simple models reflects real systems with effective long-range interactions (e.g., polymers and possibly metals). In this dissertation I address two important phase transition processes: unstable growth and nucleation. The former occurs when a system is quenched into an unstable regime. The Cahn-Hilliard-Cook (CHC) linear theory is a description of the early time ordering dynamics following a critical quench and is applicable to systems with long-range interactions. I generalize the CHC linear theory in two ways. First, I construct a systematic perturbation expansion beyond the CHC theory in order to describe continuous ordering at later times; unlike prior work, the expansion is not subject to ultraviolet divergences. Second, in phase transitions which break a spatial symmetry, I demonstrate that a CHC-like theory can emerge even if the CHC assumptions are not met at the time of the quench. Nucleation dynamics describes the process of escape from metastable equilibrium. Systems with long-range interactions have a well defined spinodal limit of metastability. I derive analytical results describing the character of nucleation when the system is quenched deep into the metastable phase, near the spinodal. In the case of the fluid-to-solid transition in three dimensions and greater, the nucleating droplets are predicted to have a spherically symmetric onion structure, completely unlike the stable phase crystal symmetry. I also discuss nucleating droplets for solid-to-solid transitions in two dimensions.