SOME RECENT DEVELOPMENTS IN THE THEORY OF PHASE TRANSITIONS.
Author:
Publisher:
Published: 1967
Total Pages:
ISBN-13:
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Recent Developments in Phase Theory
Author: Jeroen van Craenenbroeck
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2020-08-10
Total Pages: 196
ISBN-13: 1501510134
DOWNLOAD EBOOKThe overarching goal of this volume is to explore a number of recent developments in Phase Theory (both theoretical and empirical), thus contributing to our overall understanding of the concept of phases. The volume is divided into three parts, of which the first focuses on the traditional role played by phases in defining successive cyclicity, while at the same time examining the interaction between that traditional role and Chomsky (2013)’s proposal about labeling. The second part focuses on the question of whether only the highest projection of the clausal and nominal domain, CP and DP, are phases or whether those domains also contain an internal phase: vP and NP/NumP/QP, while the third part contains two chapters that focus on the extent to which ellipsis can be used as a reliable diagnostic for phasehood. As a whole, the volume provides a detailed and in-depth view on a number of recent developments in Phase Theory, which will likely continue to dominate the debate for several years to come.
Statistical Mechanics of Phase Transitions
Author: J. M. Yeomans
Publisher: Clarendon Press
Published: 1992-05-07
Total Pages: 165
ISBN-13: 0191589705
DOWNLOAD EBOOKThe book provides an introduction to the physics which underlies phase transitions and to the theoretical techniques currently at our disposal for understanding them. It will be useful for advanced undergraduates, for post-graduate students undertaking research in related fields, and for established researchers in experimental physics, chemistry, and metallurgy as an exposition of current theoretical understanding. - ;Recent developments have led to a good understanding of universality; why phase transitions in systems as diverse as magnets, fluids, liquid crystals, and superconductors can be brought under the same theoretical umbrella and well described by simple models. This book describes the physics underlying universality and then lays out the theoretical approaches now available for studying phase transitions. Traditional techniques, mean-field theory, series expansions, and the transfer matrix, are described; the Monte Carlo method is covered, and two chapters are devoted to the renormalization group, which led to a break-through in the field. The book will be useful as a textbook for a course in `Phase Transitions', as an introduction for graduate students undertaking research in related fields, and as an overview for scientists in other disciplines who work with phase transitions but who are not aware of the current tools in the armoury of the theoretical physicist. - ;Introduction; Statistical mechanics and thermodynamics; Models; Mean-field theories; The transfer matrix; Series expansions; Monte Carlo simulations; The renormalization group; Implementations of the renormalization group. -
Recent Developments in the Theory of Shells
Author: Holm Altenbach
Publisher: Springer Nature
Published: 2019-09-25
Total Pages: 798
ISBN-13: 3030177475
DOWNLOAD EBOOKThis book commemorates the 80th birthday of Prof. W. Pietraszkiewicz, a prominent specialist in the field of general shell theory. Reflecting Prof. Pietraszkiewicz’s focus, the respective papers address a range of current problems in the theory of shells. In addition, they present other structural mechanics problems involving dimension-reduced models. Lastly, several applications are discussed, including material models for such dimension-reduced structures.
Field Theoretic Method in Phase Transformations
Author: Alexander Umantsev
Publisher: Springer
Published: 2012-04-23
Total Pages: 348
ISBN-13: 1461414873
DOWNLOAD EBOOKThe main subject of the book is the continuum, field theoretic method of study of phase transformations in material systems. The method, also known as "phase field", allows one to analyze different stages of transformations on the unified platform. It has received significant attention in the materials science community recently due to many successes in solving or illuminating important problems. The book will address fundamentals of the method starting from the classical theories of phase transitions, the most important theoretical and computational results, and some of the most advanced recent applications.
Evolution of Phase Transitions
Author: Rohan Abeyaratne
Publisher: Cambridge University Press
Published: 2006-05-08
Total Pages: 272
ISBN-13: 9781139449243
DOWNLOAD EBOOKThis 2006 work began with the author's exploration of the applicability of the finite deformation theory of elasticity when various standard assumptions such as convexity of various energies or ellipticity of the field equations of equilibrium are relinquished. The finite deformation theory of elasticity turns out to be a natural vehicle for the study of phase transitions in solids where thermal effects can be neglected. This text will be of interest to those interested in the development and application of continuum-mechanical models that describe the macroscopic response of materials capable of undergoing stress- or temperature-induced transitions between two solid phases. The focus is on the evolution of phase transitions which may be either dynamic or quasi-static, controlled by a kinetic relation which in the framework of classical thermomechanics represents information that is supplementary to the usual balance principles and constitutive laws of conventional theory.
Phase Transitions and Critical Phenomena
Author: Cyril Domb
Publisher:
Published: 1972
Total Pages: 344
ISBN-13:
DOWNLOAD EBOOKThe field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results. As the ideas and techniques of critical phenomena have found new areas of application, the field has moved on from being of specialist interest, to occupy a central place in condensed matter studies. This text is part of a series which provides review articles that can serve as standard references for research workers in the field and for graduate students and others wishing to obtain reliable information in important recent developments.
Phase Transitions
Author: Ricard V. Solé
Publisher: Princeton University Press
Published: 2011-08-14
Total Pages: 238
ISBN-13: 0691150753
DOWNLOAD EBOOKPhase transitions--changes between different states of organization in a complex system--have long helped to explain physics concepts, such as why water freezes into a solid or boils to become a gas. How might phase transitions shed light on important problems in biological and ecological complex systems? Exploring the origins and implications of sudden changes in nature and society, Phase Transitions examines different dynamical behaviors in a broad range of complex systems. Using a compelling set of examples, from gene networks and ant colonies to human language and the degradation of diverse ecosystems, the book illustrates the power of simple models to reveal how phase transitions occur. Introductory chapters provide the critical concepts and the simplest mathematical techniques required to study phase transitions. In a series of example-driven chapters, Ricard Solé shows how such concepts and techniques can be applied to the analysis and prediction of complex system behavior, including the origins of life, viral replication, epidemics, language evolution, and the emergence and breakdown of societies. Written at an undergraduate mathematical level, this book provides the essential theoretical tools and foundations required to develop basic models to explain collective phase transitions for a wide variety of ecosystems.
The Physics of Structural Phase Transitions
Author: Minoru Fujimoto
Publisher: Springer Science & Business Media
Published: 2005-12-06
Total Pages: 284
ISBN-13: 0387268332
DOWNLOAD EBOOKPhase 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.
Topological Phase Transitions And New Developments
Author: Lars Brink
Publisher: World Scientific
Published: 2018-08-13
Total Pages: 263
ISBN-13: 9813271353
DOWNLOAD EBOOKGeometry and topology have been a fascination in physics since the start of the 20th century. A leading example is Einstein's geometrical theory of gravity. At the beginning of the 1970s, topological ideas entered areas of condensed matter physics. These advances were driven by new seminal ideas resolving a serious contradiction between experiment and the standard interpretation of a rigorous mathematical theorem which led to the study of new exotic topological phases of matter. Topological defect driven phase transitions in thin, two dimensional films of superfluids, superconductors and crystals have provided great insight into the mechanism governing these topological phases present in those physical systems. Moreover, many of these topological properties remain 'protected' against disorder and topological distortion perturbations. An example of possible applications of such robustness to perturbations is in the search for encoding information in quantum computers, potentially providing the platform for fault-tolerant quantum computations.In the past four decades, the discovery of topological phases engendered great interest in condensed matter physics. It also attracted the attention of researchers working on quantum information, quantum materials and simulations, high energy physics and string theory. This unique volume contains articles written by some of the most prominent names in the field, including Nobel Laureate John Michael Kosterlitz and Professor Jorge V José. They originate from talks and discussions by leading experts at a recent workshop. They review previous works as well as addressing contemporary developments in the most pressing and important issues on various aspects of topological phases and topological phase transitions.
