Gauge Theory and Defects in Solids

Gauge Theory and Defects in Solids
Author: D.G.B. Edelen
Publisher: Elsevier
Total Pages: 438
Release: 2012-12-02
Genre: Science
ISBN: 0444600108

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This new series Mechanics and Physics of Discrete Systems aims to provide a coherent picture of the modern development of discrete physical systems. Each volume will offer an orderly perspective of disciplines such as molecular dynamics, crystal mechanics and/or physics, dislocation, etc. Emphasized in particular are the fundamentals of mechanics and physics that play an essential role in engineering applications. Volume 1, Gauge Theory and Defects in Solids, presents a detailed development of a rational theory of the dynamics of defects and damage in solids. Solutions to field equations are used to determine stresses, dislocation densities and currents that arise from histories of loading of boundaries of bodies. Analysed in detail is a gauge theory with a gauge group that is not semi-simple, and whose action occurs at the classical macroscopic level. Yang-Mills theory is applied where the state variables are elastic displacements in solids, determination of mechanical and electromagnetic observables by choice of gauge conditions is demonstrated, and practices of classical dislocation theory are derived from first principles.

Theories of Defects in Solids

Theories of Defects in Solids
Author: Marshall Stoneham
Publisher: Oxford University Press, USA
Total Pages: 996
Release: 2001-02-01
Genre:
ISBN: 9780199532506

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This book surveys the theory of defects in solids, concentrating on the electronic structure of point defects in insulators and semiconductors. The relations between different approaches are described, and the predictions of the theory compared critically with experiment. The physicalassumptions and approximations are emphasized. Theory of Defects in Solids begins with the perfect solid, then reviews the main methods of calculating defect energy levels and wave functions. The calculation of observable defect properties is discussed, and finally, the theory is applied to a range of defects that are very different in nature.This book is intended for research workers and graduate students interested in solid-state physics.

Physics of Disordered Solids

Physics of Disordered Solids
Author: Prabodh Shukla
Publisher: Mittal Publications
Total Pages: 210
Release: 1982
Genre: Amorphous substances
ISBN:

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Theory of Defects in Solids

Theory of Defects in Solids
Author: A. M. Stoneham
Publisher: Oxford University Press
Total Pages: 982
Release: 2001
Genre: Science
ISBN: 9780198507802

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This book surveys the theory of defects in solids, concentrating on the electronic structure of point defects in insulators and semiconductors. The relations between different approaches are described, and the predictions of the theory compared critically with experiment. The physical assumptions and approximations are emphasized. The book begins with the perfect solid, then reviews the main methods of calculating defect energy levels and wave functions. The calculation and observable defect properties is discussed, and finally, the theory is applied to a range of defects that are very different in nature. This book is intended for research workers and graduate students interested in solid-state physics. From reviews of the hardback: 'It is unique and of great value to all interested in the basic aspects of defects in solids.' Physics Today 'This is a particularly worthy book, one which has long been needed by the theoretician and experimentalist alike.' Nature

Gauge Theory of Stresses and Defects

Gauge Theory of Stresses and Defects
Author: Hagen Kleinert
Publisher:
Total Pages: 1500
Release: 1989
Genre: Condensed matter
ISBN: 9789971504212

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Defects in Solids

Defects in Solids
Author: N. Hannay
Publisher: Springer Science & Business Media
Total Pages: 537
Release: 2012-12-06
Genre: Science
ISBN: 1468408291

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The last quarter-century has been marked by the extremely rapid growth of the solid-state sciences. They include what is now the largest subfield of physics, and the materials engineering sciences have likewise flourished. And, playing an active role throughout this vast area of science and engineer ing have been very large numbers of chemists. Yet, even though the role of chemistry in the solid-state sciences has been a vital one and the solid-state sciences have, in turn, made enormous contributions to chemical thought, solid-state chemistry has not been recognized by the general body of chemists as a major subfield of chemistry. Solid-state chemistry is not even well defined as to content. Some, for example, would have it include only the quantum chemistry of solids and would reject thermodynamics and phase equilibria; this is nonsense. Solid-state chemistry has many facets, and one of the purposes of this Treatise is to help define the field. Perhaps the most general characteristic of solid-state chemistry, and one which helps differentiate it from solid-state physics, is its focus on the chemical composition and atomic configuration of real solids and on the relationship of composition and structure to the chemical and physical properties of the solid. Real solids are usually extremely complex and exhibit almost infinite variety in their compositional and structural features.

Gauge Fields in Condensed Matter

Gauge Fields in Condensed Matter
Author: Hagen Kleinert
Publisher: World Scientific Publishing Company
Total Pages: 1456
Release: 1989
Genre: Crystals
ISBN: 9789971502119

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This book is the first to develop a unified gauge theory of condensed matter systems dominated by vortices or defects and their long-range interactions. Gauge fields provide the only means of describing these interactions in terms of local fields, rendering them accessible to standard field theoretic techniques. Two particularly important examples, superfluid systems and crystals, are treated in great detail. The theory is developed in close contact with physical phenomena and evolves naturally from conventional descriptions of the systems. In addition to gauge fields, the book introduces the important new concept of disorder fields for ensembles of line-like defects. The combined field theory allows for a new understanding of the important phase transitions superfluid 'normal and solid' liquid. Apart from the above, the book presents the general differential geometry of defects in spaces with curvature and torsion and establishes contact with the modern theory of gravity with torsion. This book is written for condensed matter physicists and field theorists. It can be used as a textbook for a second-year graduate course or as supplementary reading for courses in the areas of condensed matter and solid state physics, statistical mechanics, and field theory.