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ISBN: 997150569X 9789814434126 9814434124 9789971505691 9971509970 9789971509972 Year: 1989 Publisher: Singapore Teaneck, N.J. World Scientific
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This book discusses the most important aspects of the theory. The phenomenological model is followed by the microscopic theory of superconductivity, in which modern formalism of the many-body theory is used to treat most important problems such as superconducting alloys, coexistence of superconductivity with the magnetic order, and superconductivity in quasi-one-dimensional systems. It concludes with a discussion on models for exotic and high temperature superconductivity. Its main aim is to review, as complete as possible, the theory of superconductivity from classical models and methods up t
Superconductivity --- 538.94 --- 538.94 Quantum liquids and solids --- Quantum liquids and solids --- Electric conductivity --- Critical currents --- Superfluidity --- Electronics and optics of solids --- Thermal properties of solids --- Superconductivity.
ISBN: 9780817643164 9780817645502 0817643168 0817645500 Year: 2007 Publisher: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser,
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With the discovery of type-II superconductivity by Abrikosov, the prediction of vortex lattices, and their experimental observation, quantized vortices have become a central object of study in superconductivity, superfluidity, and Bose--Einstein condensation. This book presents the mathematics of superconducting vortices in the framework of the acclaimed two-dimensional Ginzburg-Landau model, with or without magnetic field, and in the limit of a large Ginzburg-Landau parameter, kappa. This text presents complete and mathematically rigorous versions of both results either already known by physicists or applied mathematicians, or entirely new. It begins by introducing mathematical tools such as the vortex balls construction and Jacobian estimates. Among the applications presented are: the determination of the vortex densities and vortex locations for energy minimizers in a wide range of regimes of applied fields, the precise expansion of the so-called first critical field in a bounded domain, the existence of branches of solutions with given numbers of vortices, and the derivation of a criticality condition for vortex densities of non-minimizing solutions. Thus, this book retraces in an almost entirely self-contained way many results that are scattered in series of articles, while containing a number of previously unpublished results as well. The book also provides a list of open problems and a guide to the increasingly diverse mathematical literature on Ginzburg--Landau related topics. It will benefit both pure and applied mathematicians, physicists, and graduate students having either an introductory or an advanced knowledge of the subject.
Differential equations --- Thermal properties of solids --- Superconductivity --- Mathematics --- EPUB-LIV-FT SPRINGER-B LIVMATHE --- Differential equations, partial. --- Functions of complex variables. --- Partial Differential Equations. --- Theoretical, Mathematical and Computational Physics. --- Functions of a Complex Variable. --- Complex variables --- Elliptic functions --- Functions of real variables --- Partial differential equations --- Mathematics. --- Partial differential equations. --- Mathematical physics. --- Physical mathematics --- Physics
ISBN: 1280526432 9786610526437 0195360133 1429405600 9780195360134 0195078284 9780195078282 0197732364 Year: 1994 Publisher: New York : Oxford University Press,
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Represents the unified treatment of an important field of research - the theory of quantum fluctuations in inhomogeneous superconductivity materials. This book can be used as a main or supplementary text in graduate courses on superconductivity, many-body systems, phase transitions, submicron physics, and surface science.
Fluctuations (Physics) --- Inhomogeneous materials. --- Superconductors. --- Superconducting materials --- Superconductive devices --- Cryoelectronics --- Electronics --- Solid state electronics --- Heterogeneous materials --- Inhomogeneous media --- Media, Inhomogeneous --- Materials --- Matter --- Variations (Physics) --- Stochastic processes --- Inhomogeneous materials --- Superconductors --- 538.94 --- 538.94 Quantum liquids and solids --- Quantum liquids and solids --- Electronics and optics of solids --- Thermal properties of solids
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