solitons modern problems in condensed matter sciences

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Author : S.E. Trullinger
ISBN : 9780444598295
Genre : Science
File Size : 41. 3 MB
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In the twenty years since Zabusky and Kruskal coined the term ``soliton'', this concept changed the outlook on certain types of nonlinear phenomena and found its way into all branches of physics. The present volume deals with a great variety of applications of the new concept in condensed-matter physics, which is particularly reached in experimentally observable occurrences. The presentation is not centred around the mathematical aspects; the emphasis is on the physical nature of the nonlinear phenomena occurring in particular situations. With its emphasis on concrete, mostly experimentally verifiable cases, ``Solitons'' constitutes a very readable and instructive introduction to the subject as well as an up-to-date account of current developments in a field of research reaching maturity.

Solitons In Multidimensions

Author : G Konopelchenko
ISBN : 9789814518062
Genre :
File Size : 62. 97 MB
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The book is devoted to the mathematical theory of soliton phenomena on the plane. The inverse spectral transform method which is a main tool for the study of the (2+1)-dimensional soliton equation is reviewed. The ∂-problem and the Riemann-Hilbert problem method are discussed. Several basic examples of soliton equations are considered in detail. This volume is addressed both to the nonexpert and to the researcher in the field. This is the first literature dealing specifically with multidimensional solition equations. Contents:IntroductionDressing Method, The Kadomtsev-Petviashvili EquationThe Modified Kadomtsev-Petviashvili EquationThe Davey-Stewartson EquationThe Ishimori EquationThe 2+1-Dimensional Integrable Sine-Gordon EquationExtensions of the ∂-Dressing Method Readership: Applied mathematicians, mathematical physicists and researchers in chaos and in nonlinear sciences. keywords:Bibliography;Korteweg De Vries Equation;Dressing Method;Riemann-Hilbert Problems;Inverse Scattering Transform;Kadomtsev-Petviashvili Equations;Modified Kadomtsev-Petviashvili Equations;Modified Korteweg- De Vries Equation;Miura Transform;Davey-Stewartson Equations;Ishimori Equations;Heisenberg-Ferromagnet Model;Sine-Gordon Equation “The remarkable discovery for the algebraic structure governing the sequence of conserved quantities in the kdV, KP or non-linear Schrödinger dynamics was a long time restricted to a one-dimensional spatial coordinate system. The multidimensional analogs are much harder and for this reason very intriguing to tame. The book by Konopelchenko offers a first organized exposition of the inverse spectral transform technique applied to 2D integrable systems of the same category. The elegant and original combination of complex analysis, spectral theory and infinite dimensional algebra is a high mark of this text.” Professor Mihai Putinar University of California at Santa Barbara

Microwave Superconductivity

Author : H. Weinstock
ISBN : 9789401004503
Genre : Technology & Engineering
File Size : 61. 58 MB
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Detailed coverage of all aspects of microwave superconductivity: fundamentals, fabrication, measurement, components, circuits, cryogenic packaging and market potential. Both a graduate-level textbook and a reference for microwave engineers. Applications (with either active or passive circuit elements) include those at both liquid-helium and liquid-nitrogen temperatures. Topics covered include wireless communications, space-based cryoelectronics, SQUIDs and SQUID amplifiers, NMR and MRI coils, accelerator cavities, and Josephson flux-flow devices.

Synergetics Of Molecular Systems

Author : Lev N. Lupichev
ISBN : 9783319081953
Genre : Science
File Size : 68. 35 MB
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Synergetics is the quantitative study of multicomponent systems that exhibit nonlinear dynamics and cooperativity. This book specifically considers basic models of the nonlinear dynamics of molecular systems and discusses relevant applications in biological physics and the polymer sciences. Emphasis is placed on specific solutions to the dynamical equations that correspond to the coherent formation of spatial-temporal structures, such as solitons, kinks and breathers, in particular. The emergence of these patterns in molecular structures provides a variety of information on their structural properties and plays a significant part in energy transfer processes, topological defects, dislocations, and related structure transitions. Real media, in which solitons take the form of solitary waves, are also considered. In this context, the formation of nonlinear waves in a continuous medium described by nonlinear equations is associated with spontaneous breaking of the local symmetry of the homogeneous system, which produces a range of interesting phenomena. A particular feature of this text is its combination of analytic and computational strategies to tackle difficult nonlinear problems at the molecular level of matter.

Exotic Properties Of Superfluid 3he

Author : G. E. Volovik
ISBN : 9810207069
Genre : Science
File Size : 40. 30 MB
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This book discusses the unique properties of superfluid phases of 3He, the condensed matter with the outmost broken symmetry, which combine in a surprising way the properties of ordered magnets, liquid crystals and superfluids. The complicated vacuum state of these phases with a large number of fermionic and bosonic quasiparticles and topological objects remains the vacuum in modern quantum field theories. Some of the objects and physical phenomena in 3He have strong analogy with the neutrino, W-bosons, weak interactions, gravity, chiral anomaly, Quantum Hall Effect and fractional statistics. As an example of topological objects, the quantized vortices in 3He phases are discussed in detail, including singular and continuous vortices, half-quantum vortices, broken symmetry in the vortex core and phase transitions between the vortex states with different symmetry and topology.

Structure Coherence And Chaos In Dynamical Systems

Author : Peter L. Christiansen
ISBN : 0719026105
Genre : Chaotic behavior in systems
File Size : 36. 25 MB
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Chaos Solitons And Fractals

Author :
ISBN : STANFORD:36105016509932
Genre : Bifurcation theory
File Size : 29. 97 MB
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Journal Of Physics A Mathematical And General

Author :
ISBN : UCAL:B4491349
Genre :
File Size : 22. 26 MB
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Solitons And Condensed Matter Physics

Author : A.R. Bishop
ISBN : 9783642812910
Genre : Science
File Size : 74. 52 MB
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Nonl inear ideas of a "sol iton" variety have been a unifying influence on the na tura 1 sci ences for many decades. HO~/ever, thei r uni versa 1 a pprec i at i on in the physics community as a genuine paradigm is very much a current develop ment. All of us who have been associated with this recent wave of enthusiasm were impressed with the variety of applications, their inevitability once the mental contraint of linear normal modes is removed, and above all by the common mathematical structures underpinning applications with quite different (and often novel) physical manifestations. This has certainly been the situ ation in condensed matter, and when, during the Paris Lattice Dynamics Con ference (September 1977), one of us (T.S.) first suggested a condensed matter soliton Meeting, the idea was strongly encouraged. It would provide an opportunity to exhibit the common mathematical problems, illuminate the new contexts, and thereby focus the "subject" of nonlinear physics at this embryonic stage of its evolution. The original conception was to achieve a balance of mathematicians and phy~cis~ such that each would benefit from the other's expertise and out look. In contrast to many soliton Meetings, hO~/ever, a deliberate attempt was made to emphasize physics contexts rather than mathematical details.

The Lesson Of Quantum Theory

Author : Jorrit De Boer
ISBN : UOM:39015017191985
Genre : Biography & Autobiography
File Size : 85. 37 MB
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