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Vortices In Nonlinear Fields
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Book Synopsis Vortices in Nonlinear Fields by : Len M. Pismen
Download or read book Vortices in Nonlinear Fields written by Len M. Pismen and published by Oxford University Press. This book was released on 1999 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry breaking is partially responsible for the astounding variety of natural phenomena derived from a few simple and symmetric basic laws. Unique in its multidisciplinary scope, this book considers from a unified point of view the structure and dynamics of vortices in a variety of nonlinear field models with spontaneously broken symmetry. The theory has wide applications, including superfluids, superconductors, rotating spiral waves, and relativistic string theories. This volume is an integrated survey of this rapidly developing field.
Book Synopsis Vortices in the Magnetic Ginzburg-Landau Model by : Etienne Sandier
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 322 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.
Book Synopsis Linear and Nonlinear Aspects of Vortices by : Frank Pacard
Download or read book Linear and Nonlinear Aspects of Vortices written by Frank Pacard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at mathematicians, physicists, engineers, and grad students, this monograph will be useful for the nonlinear analysis of problems arising in geometry or mathematical physics. The material presented covers recent and original results by the authors, and serves as an excellent classroom text or a valuable self-study resource.
Book Synopsis Selfdual Gauge Field Vortices by : Gabriella Tarantello
Download or read book Selfdual Gauge Field Vortices written by Gabriella Tarantello and published by Springer Science & Business Media. This book was released on 2008-04-16 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph discusses specific examples of selfdual gauge field structures, including the Chern–Simons model, the abelian–Higgs model, and Yang–Mills gauge field theory. The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of gauge theory and formulating examples of Chern–Simons–Higgs theories (in both abelian and non-abelian settings). Thereafter, the Electroweak theory and self-gravitating Electroweak strings are examined. The final chapters treat elliptic problems involving Chern–Simmons models, concentration-compactness principles, and Maxwell–Chern–Simons vortices.
Book Synopsis Variational Methods in Nonlinear Field Equations by : Vieri Benci
Download or read book Variational Methods in Nonlinear Field Equations written by Vieri Benci and published by Springer. This book was released on 2014-10-24 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence theory for hylomorphic solitons, namely for those solitons which minimize the energy for a given charge. In the second part, the authors apply this theory to prove the existence of hylomorphic solitons for some classes of field equations (nonlinear Klein-Gordon-Maxwell equations, nonlinear Schrödinger-Maxwell equations, nonlinear beam equation,..). The abstract theory is sufficiently flexible to be applied to other situations, like the existence of vortices. The books is addressed to Mathematicians and Physicists.
Book Synopsis Coherent Vortex Structures in Fluids and Plasmas by : Anatoli Tur
Download or read book Coherent Vortex Structures in Fluids and Plasmas written by Anatoli Tur and published by Springer. This book was released on 2017-04-09 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph introduces readers to the hydrodynamics of vortex formation, and reviews the last decade of active research in the field, offering a unique focus on research topics at the crossroads of traditional fluids and plasmas. Vortices are responsible for the process of macroscopic transport of momentum, energy and mass, and are formed as the result of spontaneous self-organization. Playing an important role in nature and technology, localized, coherent vortices are regularly observed in shear flows, submerged jets, afterbody flows and in atmospheric boundary layers, sometimes taking on the form of vortex streets. In addition, the book addresses a number of open issues, including but not limited to: which singularities are permitted in a 2D Euler equation besides point vortices? Which other, even more complex, localized vortices could be contained in the Euler equation? How do point vortices interact with potential waves?
Book Synopsis Theory of Concentrated Vortices by : S. V. Alekseenko
Download or read book Theory of Concentrated Vortices written by S. V. Alekseenko and published by Springer Science & Business Media. This book was released on 2007-08-29 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents comprehensive and authoritative coverage of the wide field of concentrated vortices observed in nature and technique. The methods for research of their kinematics and dynamics are considered. Special attention is paid to the flows with helical symmetry. The authors have described models of vortex structures used for interpretation of experimental data which serve as a ground for development of theoretical and numerical approaches to vortex investigation.
Book Synopsis Lecture Notes on Turbulence and Coherent Structures in Fluids, Plasmas and Nonlinear Media by : Michael Shats
Download or read book Lecture Notes on Turbulence and Coherent Structures in Fluids, Plasmas and Nonlinear Media written by Michael Shats and published by World Scientific. This book was released on 2006 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the lectures delivered at the 19th Canberra International Physics Summer School held at the Australian National University in Canberra (Australia) in January 2006.The problem of turbulence and coherent structures is of key importance in many fields of science and engineering. It is an area which is vigorously researched across a diverse range of disciplines such as theoretical physics, oceanography, atmospheric science, magnetically confined plasma, nonlinear optics, etc. Modern studies in turbulence and coherent structures are based on a variety of theoretical concepts, numerical simulation techniques and experimental methods, which cannot be reviewed effectively by a single expert.The main goal of these lecture notes is to introduce state-of-the-art turbulence research in a variety of approaches (theoretical, numerical simulations and experiments) and applications (fluids, plasmas, geophysics, nonlinear optical media) by several experts. A smooth introduction is presented to readers who are not familiar with the field, while reviewing the most recent advances in the area. This collection of lectures will provide a useful review for both postgraduate students and researchers new to the advancements in this field, as well as specialists seeking to expand their knowledge across different areas of turbulence research.
Book Synopsis Nonlinear Waves: Classical and Quantum Aspects by : Fatkhulla Abdullaev
Download or read book Nonlinear Waves: Classical and Quantum Aspects written by Fatkhulla Abdullaev and published by Springer Science & Business Media. This book was released on 2006-03-02 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading scientists discuss the most recent physical and experimental results in the physics of Bose-Einstein condensate theory, the theory of nonlinear lattices (including quantum and nonlinear lattices), and nonlinear optics and photonics. Classical and quantum aspects of the dynamics of nonlinear waves are considered. The contributions focus on the Gross-Pitaevskii equation and on the quantum nonlinear Schrödinger equation. Recent experimental results on atomic condensates and hydrogen bonded systems are reviewed. Particular attention is given to nonlinear matter waves in periodic potential.
Book Synopsis Dynamics of Quantised Vortices in Superfluids by : Edouard B. Sonin
Download or read book Dynamics of Quantised Vortices in Superfluids written by Edouard B. Sonin and published by Cambridge University Press. This book was released on 2016-02-04 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive overview of the basic principles of vortex dynamics in superfluids, this book addresses the problems of vortex dynamics in all three superfluids available in laboratories (4He, 3He, and BEC of cold atoms) alongside discussions of the elasticity of vortices, forces on vortices, and vortex mass. Beginning with a summary of classical hydrodynamics, the book guides the reader through examinations of vortex dynamics from large scales to the microscopic scale. Topics such as vortex arrays in rotating superfluids, bound states in vortex cores and interaction of vortices with quasiparticles are discussed. The final chapter of the book considers implications of vortex dynamics to superfluid turbulence using simple scaling and symmetry arguments. Written from a unified point of view that avoids complicated mathematical approaches, this text is ideal for students and researchers working with vortex dynamics in superfluids, superconductors, magnetically ordered materials, neutron stars and cosmological models.
Book Synopsis Vortices in Unconventional Superconductors and Superfluids by : Rudolf Huebener
Download or read book Vortices in Unconventional Superconductors and Superfluids written by Rudolf Huebener and published by Springer Science & Business Media. This book was released on 2002-01-22 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological defects are generic in continuous media. In the relativistic quantum vacuum they are known as cosmic strings, in superconductors as quantized flux lines, and in superfluids, low-density atomic Bose-Einstein condensates and neutron stars as quantized vortex lines. This collection of articles by leading scientists presents a modern treatment of the physics of vortex matter, mainly applied to unconventional superconductors and superfluids but with extensions to other areas of physics.
Book Synopsis An Introduction to Non-Perturbative Foundations of Quantum Field Theory by : Franco Strocchi
Download or read book An Introduction to Non-Perturbative Foundations of Quantum Field Theory written by Franco Strocchi and published by OUP Oxford. This book was released on 2013-02-14 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Field Theory (QFT) has proved to be the most useful strategy for the description of elementary particle interactions and as such is regarded as a fundamental part of modern theoretical physics. In most presentations, the emphasis is on the effectiveness of the theory in producing experimentally testable predictions, which at present essentially means Perturbative QFT. However, after more than fifty years of QFT, we still are in the embarrassing situation of not knowing a single non-trivial (even non-realistic) model of QFT in 3+1 dimensions, allowing a non-perturbative control. As a reaction to these consistency problems one may take the position that they are related to our ignorance of the physics of small distances and that QFT is only an effective theory, so that radically new ideas are needed for a consistent quantum theory of relativistic interactions (in 3+1 dimensions). The book starts by discussing the conflict between locality or hyperbolicity and positivity of the energy for relativistic wave equations, which marks the origin of quantum field theory, and the mathematical problems of the perturbative expansion (canonical quantization, interaction picture, non-Fock representation, asymptotic convergence of the series etc.). The general physical principles of positivity of the energy, Poincare' covariance and locality provide a substitute for canonical quantization, qualify the non-perturbative foundation and lead to very relevant results, like the Spin-statistics theorem, TCP symmetry, a substitute for canonical quantization, non-canonical behaviour, the euclidean formulation at the basis of the functional integral approach, the non-perturbative definition of the S-matrix (LSZ, Haag-Ruelle-Buchholz theory). A characteristic feature of gauge field theories is Gauss' law constraint. It is responsible for the conflict between locality of the charged fields and positivity, it yields the superselection of the (unbroken) gauge charges, provides a non-perturbative explanation of the Higgs mechanism in the local gauges, implies the infraparticle structure of the charged particles in QED and the breaking of the Lorentz group in the charged sectors. A non-perturbative proof of the Higgs mechanism is discussed in the Coulomb gauge: the vector bosons corresponding to the broken generators are massive and their two point function dominates the Goldstone spectrum, thus excluding the occurrence of massless Goldstone bosons. The solution of the U(1) problem in QCD, the theta vacuum structure and the inevitable breaking of the chiral symmetry in each theta sector are derived solely from the topology of the gauge group, without relying on the semiclassical instanton approximation.
Book Synopsis Ginzburg-Landau Vortices by : Haim Brzis
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.
Book Synopsis The Defocusing Nonlinear Schr?dinger Equation by : Panayotis G. Kevrekidis
Download or read book The Defocusing Nonlinear Schr?dinger Equation written by Panayotis G. Kevrekidis and published by SIAM. This book was released on 2015-08-04 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bose?Einstein condensation is a phase transition in which a fraction of particles of a boson gas condenses into the same quantum state known as the Bose?Einstein condensate (BEC). The aim of this book is to present a wide array of findings in the realm of BECs and on the nonlinear Schr?dinger-type models that arise therein. The Defocusing Nonlinear Schr?dinger Equation is a broad study of nonlinear excitations in self-defocusing nonlinear media. It summarizes state-of-the-art knowledge on the defocusing nonlinear Schr?dinger-type models in a single volume and contains a wealth of resources, including over 800 references to relevant articles and monographs and a meticulous index for ease of navigation.
Download or read book Progress in Optics written by and published by Elsevier. This book was released on 2005-08-30 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, six review articles which cover a broad range of topics of current interest in modern optics are included. The first article by S. Saltiel, A.A. Sukhorukov and Y.S. Kivshar presents an overview of various types of parametric interactions in nonlinear optics which are associated with simultaneous phase-matching of several optical processes in quadratic non-linear media, the so-called multi-step parametric interactions. The second article by H.E. Tureci, H.G.L. Schwefel, Ph. Jacquod and A.D. Stone reviews the progress that has been made in recent years in the understanding of modes in wave-chaotic systems. The next article by C.P. Search and P. Meystre reviews some important recent developments in non-linear optics and in quantum optics. The fourth article by E. Hasman, G. Biener, A. Niv and V. Kleiner discusses space-variant polarization manipulation. The article reviews both theoretical analysis and experimental techniques. The article which follows, by A.S. Desyatnikov, L. Torner and Y.S. Kivshar presents an overview of recent researches on optical vortices and phase singularities of electromagnetic waves in different types of non-linear media, with emphasis on the properties of vortex solitons. The concluding article by K. Iwata presents a review of imaging techniques with X-rays and visible light in which phase of the radiation that penetrates through a transparent object plays an important part.
Book Synopsis Fluid Physics - Lecture Notes Of Summer Schools by : Manuel G Velarde
Download or read book Fluid Physics - Lecture Notes Of Summer Schools written by Manuel G Velarde and published by World Scientific. This book was released on 1995-03-07 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book pays tribute to 25 Singaporean South Asians who pioneered and excelled in their respective fields from 1950 to 2015. It is meant to be a 'quick take' on 25 Singaporean South Asian personalities, across a broad spectrum of professions and activities, who believed in the value and virtue of service to the community and gave the best of themselves.They had a sense of mission in their professions, dedicated to what they were doing and fostered a sense of community and nation. Many of them laid foundations that triggered the transformation of the island, including sportspeople whose records have stood the test of time. They were a people of their time whose work many may not know but which we hope will inspire others. This book is timely, for those who want to get a snapshot appreciation of the contributions of Singaporean South Asians.
Author :Panayotis G. Kevrekidis Publisher :Springer Science & Business Media ISBN 13 :3540735917 Total Pages :405 pages Book Rating :4.5/5 (47 download)
Book Synopsis Emergent Nonlinear Phenomena in Bose-Einstein Condensates by : Panayotis G. Kevrekidis
Download or read book Emergent Nonlinear Phenomena in Bose-Einstein Condensates written by Panayotis G. Kevrekidis and published by Springer Science & Business Media. This book was released on 2007-12-29 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, written by experts in the fields of atomic physics and nonlinear science, covers the important developments in a special aspect of Bose-Einstein condensation, namely nonlinear phenomena in condensates. Topics covered include bright, dark, gap and multidimensional solitons; vortices; vortex lattices; optical lattices; multicomponent condensates; mathematical methods/rigorous results; and the beyond-the-mean-field approach.
