Download or read book Vortices in the Magnetic Ginzburg Landau Model written by Etienne Sandier and published by Springer Science & Business Media. This book was released on 2008-05-14 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mathematical study of vortices of the two-dimensional Ginzburg-Landau model, an important phenomenological model used to describe superconductivity. The vortices, identified as quantized amounts of vorticity of the superconducting current localized near points, are the objects of many observational and experimental studies, both past and present. The Ginzburg-Landau functionals considered include both the model cases with and without a magnetic field. The book acts a guide to the various branches of Ginzburg-Landau studies, provides context for the study of vortices, and presents a list of open problems in the field.
Download or read book Ginzburg Landau Vortices written by Haim Brzis and published by World Scientific. This book was released on 2005 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Ginzburg-Landau equation us a mathematical model of superconductors has become an extremely useful tool in many areas of physics where vortices carrying a topological charge appear. The remarkable progress in the mathematical understanding of this equation involves a combined use of mathematical tools from many branches of mathematics. The Ginzburg-Landau model has been an amazing source of new problems and new ideas in analysis, geometry and topology. This collection will meet the urgent needs of the specialists, scholars and graduate students working in this area or related areas.
Download or read book Pinning of Magnetic Vortices Subject to Multi well Potential in the Ginzburg Landau Theory of Superconductivity written by Aaron Pakylak and published by . This book was released on 2009 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ginzburg Landau Theory of Condensates written by Baruch Rosenstein and published by Cambridge University Press. This book was released on 2021-11-18 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: A primer on Ginzberg-Landau Theory considering common and topological excitations including their thermodynamics and dynamical phenomena.
Download or read book Coulomb Gases and Ginzburg Landau Vortices written by Sylvia Serfaty and published by Erich Schmidt Verlag GmbH & Co. KG. This book was released on 2015 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of this book is systems of points in Coulomb interaction, in particular, the classical Coulomb gas, and vortices in the Ginzburg-Landau model of superconductivity. The classical Coulomb and Log gases are classical statistical mechanics models, which have seen important developments in the mathematical literature due to their connection with random matrices and approximation theory. At low temperature these systems are expected to ``crystallize'' to so-called Fekete sets, which exhibit microscopically a lattice structure. The Ginzburg-Landau model, on the other hand, describes superconductors. In superconducting materials subjected to an external magnetic field, densely packed point vortices emerge, forming perfect triangular lattice patterns, so-called Abrikosov lattices. This book describes these two systems and explores the similarity between them. It presents the mathematical tools developed to analyze the interaction between the Coulomb particles or the vortices, at the microscopic scale, and describes a ``renormalized energy'' governing the point patterns. This is believed to measure the disorder of a point configuration and to be minimized by the Abrikosov lattice in dimension 2. This book gives a self-contained presentation of results on the mean field limit of the Coulomb gas system, with or without temperature, and of the derivation of the renormalized energy. It also provides a streamlined presentation of the similar analysis that can be performed for the Ginzburg-Landau model, including a review of the vortex-specific tools and the derivation of the critical fields, the mean-field limit, and the renormalized energy.
Download or read book Mathematical and Computational Modeling written by Roderick Melnik and published by John Wiley & Sons. This book was released on 2015-05-18 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical and Computational Modeling Illustrates the application of mathematical and computational modeling in a variety of disciplines With an emphasis on the interdisciplinary nature of mathematical and computational modeling, Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts features chapters written by well-known, international experts in these fields and presents readers with a host of state-of-theart achievements in the development of mathematical modeling and computational experiment methodology. The book is a valuable guide to the methods, ideas, and tools of applied and computational mathematics as they apply to other disciplines such as the natural and social sciences, engineering, and technology. The book also features: Rigorous mathematical procedures and applications as the driving force behind mathematical innovation and discovery Numerous examples from a wide range of disciplines to emphasize the multidisciplinary application and universality of applied mathematics and mathematical modeling Original results on both fundamental theoretical and applied developments in diverse areas of human knowledge Discussions that promote interdisciplinary interactions between mathematicians, scientists, and engineers Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts is an ideal resource for professionals in various areas of mathematical and statistical sciences, modeling and simulation, physics, computer science, engineering, biology and chemistry, and industrial and computational engineering. The book also serves as an excellent textbook for graduate courses in mathematical modeling, applied mathematics, numerical methods, operations research, and optimization.
Download or read book Dynamics of Ginzburg Landau Vortices written by Robert L. Jerrard and published by . This book was released on 1995 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Superconductivity written by R.D. Parks and published by Routledge. This book was released on 2018-03-29 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1969. CRC Press is an imprint of Taylor & Francis.
Download or read book Ginzburg Landau Phase Transition Theory and Superconductivity written by K.-H. Hoffmann and published by Birkhäuser. This book was released on 2012-12-06 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph compiles, rearranges, and refines recent research results in the complex G-L theory with or without immediate applications to the theory of superconductivity. An authoritative reference for applied mathematicians, theoretical physicists and engineers interested in the quantitative description of superconductivity using Ginzburg-Landau theory.
Download or read book Ginzburg Landau Phase Transition Theory and Superconductivity written by K.-H. Hoffmann and published by Nelson Thornes. This book was released on 2001 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph compiles, rearranges, and refines recent research results in the complex G-L theory with or without immediate applications to the theory of superconductivity. An authoritative reference for applied mathematicians, theoretical physicists and engineers interested in the quantitative description of superconductivity using Ginzburg-Landau theory.
Download or read book The Vortex State written by N. Bontemps and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most spectacular consequences of the description of the superfluid condensate in superfluid He or in superconductors as a single macroscopic quantum state is the quantization of circulation, resulting in quantized vortex lines. This book draws no distinction between superfluid He3 and He4 and superconductors. The reader will find the essential introductory chapters and the most recent theoretical and experimental progress in our understanding of the vortex state in both superconductors and superfluids, from lectures given by leading experts in the field, both experimentalists and theoreticians, who gathered in Cargèse for a NATO ASI. The peculiar features related to short coherence lengths, 2D geometry, high temperatures, disorder, and pinning are thoroughly discussed.
Download or read book Superconductivity of Metals and Cuprates written by J.R Waldram and published by CRC Press. This book was released on 2017-12-14 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superconductivity of Metals and Cuprates covers the basic physics of superconductivity, both the theoretical and experimental aspects. The book concentrates on important facts and ideas, including Ginzburg-Landau equations, boundary energy, Green's function methods, and spectroscopy. Avoiding lengthy or difficult presentations of theory, it is written in a clear and lucid style with many useful, informative diagrams. The book is designed to be accessible to senior undergraduate students, making it a helpful tool for teaching superconductivity as well as serving as an introduction to those entering the field.
Download or read book Superconductivity Superfluids and Condensates written by James F. Annett and published by Oxford University Press. This book was released on 2004-03-25 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook series has been designed for final year undergraduate and first year graduate students, providing an overview of the entire field showing how specialized topics are part of the wider whole, and including references to current areas of literature and research.
Download or read book Spectral Theory and Geometric Analysis written by Mikhail Aleksandrovich Shubin and published by American Mathematical Soc.. This book was released on 2011-02-10 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume cover important topics in spectral theory and geometric analysis such as resolutions of smooth group actions, spectral asymptotics, solutions of the Ginzburg-Landau equation, scattering theory, Riemann surfaces of infinite genus and tropical mathematics.
Download or read book Abstract and Applied Analysis written by N. M. Chuong and published by World Scientific. This book was released on 2004 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods. Topics include linear elliptic systems for composite material OCo the coefficients may jump from domain to domain; Stochastic Analysis OCo many applied problems involve evolution equations with random terms, leading to the use of stochastic analysis. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences. Contents: Deterministic Analysis: Differentiation of Hypergeometric Functions with Respect to Parameters (Yu A Brychkov & K O Geddes); On the Lagrange Problem About the Strongest Columns (Yu V Egorov); Wavelet Based Fast Solution of Boundary Integral Equations (H Harbrecht & R Schneider); Semi-Classical Methods in GinzburgOCoLandau Theory (B Helffer); Stability of Equilibriums in One-Dimensional Motion of Compressible Viscous Gas Forced by Self-Gravity (Y Iwata & Y Yamamoto); Estimates for Elliptic Systems for Composite Material (L Nirenberg); On Asymptotics for the Mabuchi Energy Functional (D H Phong & J Sturm); Regularity of Solutions of the Initial Boundary Value Problem for Linearized Equations of Ideal Magneto-Hydrodynamics (M Yamamoto); Stochastic Analysis: Impulsive Stochastic Evolution Inclusions with Multi-Valued Diffusion (N U Ahmed); Some of Future Directions of White Noise Analysis (T Hida); Constructing Random Probability Distributions (T P Hill & D E R Sitton); Multiparameter Additive Processes of Mixture Type (K Inoue); The Random Integral Representation Hypothesis Revisited: New Classes of S-Selfdecomposable Laws (Z J Jurek); Semigroups and Processes with Parameter in a Cone (J Pedersen & K-I Sato); and other papers. Readership: Researchers and academics in the fields of analysis and differential equations, approximation theory, probability and statistics."
Download or read book Superconductivity written by Charles P. Poole and published by Elsevier. This book was released on 2010-07-20 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superconductivity, 2E is an encyclopedic treatment of all aspects of the subject, from classic materials to fullerenes. Emphasis is on balanced coverage, with a comprehensive reference list and significant graphicsfrom all areas of the published literature. Widely used theoretical approaches are explained in detail. Topics of special interest include high temperature superconductors, spectroscopy, critical states, transport properties, and tunneling.This book covers the whole field of superconductivity from both the theoretical and the experimental point of view. Comprehensive coverage of the field of superconductivity Very up-to date on magnetic properties, fluxons, anisotropies, etc. Over 2500 references to the literature Long lists of data on the various types of superconductors
Download or read book Vortices and the Ginzburg Landau Phase Transition written by A. Rajantie and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
