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Topologically Stable Defects And Solitons In Ordered Media
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Book Synopsis Topologically Stable Defects and Solitons in Ordered Media by : Vladimir P. Mineev
Download or read book Topologically Stable Defects and Solitons in Ordered Media written by Vladimir P. Mineev and published by . This book was released on 1998 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topologically Stable Defects and Solitons in Ordered Media by : Vladimir P. Mineev
Download or read book Topologically Stable Defects and Solitons in Ordered Media written by Vladimir P. Mineev and published by CRC Press. This book was released on 1998-11-19 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes topologically stable patterns such as vortices, disinclinations, dislocations, and domain walls in ordered media (superfluids, liquid and solid crystals, magnets). It also introduces the basic notions of homotopic group theory and the necessary algebraic topology constructions. The author is one of the inventors of topological classification of defects in a theory of ordered media and this classic paper provides an excellent reference text for postgraduates and researchers.
Book Synopsis Topological Solitons by : Nicholas Manton
Download or read book Topological Solitons written by Nicholas Manton and published by Cambridge University Press. This book was released on 2004-06-10 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Examples are monopoles and Skyrmions, Ginzburg-Landau vortices and sigma-model lumps, and Yang-Mills instantons. This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first-order Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multi-soliton solutions. Remarkable scattering processes can be understood this way. The book starts with an introduction to classical field theory, and a survey of several mathematical techniques useful for understanding many types of topological soliton. Subsequent chapters explore key examples of solitons in one, two, three and four dimensions. The final chapter discusses the unstable sphaleron solutions which exist in several field theories.
Book Synopsis Gauge Theory and Defects in Solids by : D.G.B. Edelen
Download or read book Gauge Theory and Defects in Solids written by D.G.B. Edelen and published by Elsevier. This book was released on 2012-12-02 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to non-Kerr Law Optical Solitons by : Anjan Biswas
Download or read book Introduction to non-Kerr Law Optical Solitons written by Anjan Biswas and published by CRC Press. This book was released on 2006-11-10 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite remarkable developments in the field, a detailed treatment of non-Kerr law media has not been published. Introduction to non-Kerr Law Optical Solitons is the first book devoted exclusively to optical soliton propagation in media that possesses non-Kerr law nonlinearities. After an introduction to the basic features of fiber-optic com
Book Synopsis Ordered Algebraic Structures by : W. Charles Holland
Download or read book Ordered Algebraic Structures written by W. Charles Holland and published by CRC Press. This book was released on 2001-04-01 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an outcome of the conference on ordered algebraic structures held at Nanjing. It covers a range of topics: lattice theory, ordered semi groups, partially ordered groups, totally ordered groups, lattice-ordered groups, and ordered fields.
Book Synopsis Topology and Condensed Matter Physics by : Somendra Mohan Bhattacharjee
Download or read book Topology and Condensed Matter Physics written by Somendra Mohan Bhattacharjee and published by Springer. This book was released on 2017-12-20 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces aspects of topology and applications to problems in condensed matter physics. Basic topics in mathematics have been introduced in a form accessible to physicists, and the use of topology in quantum, statistical and solid state physics has been developed with an emphasis on pedagogy. The aim is to bridge the language barrier between physics and mathematics, as well as the different specializations in physics. Pitched at the level of a graduate student of physics, this book does not assume any additional knowledge of mathematics or physics. It is therefore suited for advanced postgraduate students as well. A collection of selected problems will help the reader learn the topics on one's own, and the broad range of topics covered will make the text a valuable resource for practising researchers in the field. The book consists of two parts: one corresponds to developing the necessary mathematics and the other discusses applications to physical problems. The section on mathematics is a quick, but more-or-less complete, review of topology. The focus is on explaining fundamental concepts rather than dwelling on details of proofs while retaining the mathematical flavour. There is an overview chapter at the beginning and a recapitulation chapter on group theory. The physics section starts with an introduction and then goes on to topics in quantum mechanics, statistical mechanics of polymers, knots, and vertex models, solid state physics, exotic excitations such as Dirac quasiparticles, Majorana modes, Abelian and non-Abelian anyons. Quantum spin liquids and quantum information-processing are also covered in some detail.
Book Synopsis Physics Reviews by : I. M. Khalatnikov
Download or read book Physics Reviews written by I. M. Khalatnikov and published by CRC Press. This book was released on 1986 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boulevard of Broken Symmetries by : Adriaan M. J. Schakel
Download or read book Boulevard of Broken Symmetries written by Adriaan M. J. Schakel and published by World Scientific. This book was released on 2008 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers the main topics in contemporary condensed matter physics in a modern and unified way, using quantum field theory in the functional-integral approach. The book highlights symmetry aspects in acknowledging that much of the collective behaviors of condensed matter systems at low temperatures emerge above a nontrivial ground state, which spontaneously breaks the symmetry.The emphasis is on effective field theories which provide an efficient and powerful description that is valid at long wavelengths and low frequencies. In conjunction with the emphasis on effective theories, a modern approach towards renormalization is taken, whereby a wavenumber cut-off is introduced to set a scale beyond which the microscopic model under consideration ceases to be valid. The unique and innovative character of this presentation, free of historical constraints, allows for a compact and self-contained treatment of the main topics in contemporary condensed matter physics.
Book Synopsis Exotic Properties of Superfluid 3He by : G. E. Volovik
Download or read book Exotic Properties of Superfluid 3He written by G. E. Volovik and published by World Scientific. This book was released on 1992 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Geometry, Mechanics, and Dynamics by : Paul Newton
Download or read book Geometry, Mechanics, and Dynamics written by Paul Newton and published by Springer Science & Business Media. This book was released on 2006-05-11 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jerry Marsden, one of the world’s pre-eminent mechanicians and applied mathematicians, celebrated his 60th birthday in August 2002. The event was marked by a workshop on “Geometry, Mechanics, and Dynamics”at the Fields Institute for Research in the Mathematical Sciences, of which he wasthefoundingDirector. Ratherthanmerelyproduceaconventionalp- ceedings, with relatively brief accounts of research and technical advances presented at the meeting, we wished to acknowledge Jerry’s in?uence as a teacher, a propagator of new ideas, and a mentor of young talent. Con- quently, starting in 1999, we sought to collect articles that might be used as entry points by students interested in ?elds that have been shaped by Jerry’s work. At the same time we hoped to give experts engrossed in their own technical niches an indication of the wonderful breadth and depth of their subjects as a whole. This book is an outcome of the e?orts of those who accepted our in- tations to contribute. It presents both survey and research articles in the several ?elds that represent the main themes of Jerry’s work, including elasticity and analysis, ?uid mechanics, dynamical systems theory, g- metric mechanics, geometric control theory, and relativity and quantum mechanics. The common thread running through this broad tapestry is the use of geometric methods that serve to unify diverse disciplines and bring a widevarietyofscientistsandmathematicianstogether,speakingalanguage which enhances dialogue and encourages cross-fertilization.
Download or read book Solid State Physics written by and published by Academic Press. This book was released on 2015-11-16 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solid State Physics provides the latest information on the branch of physics that is primarily devoted to the study of matter in its solid phase, especially at the atomic level. This prestigious serial presents timely and state-of-the-art reviews pertaining to all aspects of solid state physics. - Contains contributions from leading authorities in the study of solid state physics, especially at the atomic level - Informs and updates on all the latest developments in the field - presents timely and state-of-the-art reviews pertaining to all aspects of solid state physics
Book Synopsis Additional Symmetries and Exactly Solvable Models in Two Dimensional Conformal Field Theory by : S. L. Lukyanov
Download or read book Additional Symmetries and Exactly Solvable Models in Two Dimensional Conformal Field Theory written by S. L. Lukyanov and published by CRC Press. This book was released on 1991 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topology in Magnetism by : Jiadong Zang
Download or read book Topology in Magnetism written by Jiadong Zang and published by Springer. This book was released on 2018-09-24 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents both experimental and theoretical aspects of topology in magnetism. It first discusses how the topology in real space is relevant for a variety of magnetic spin structures, including domain walls, vortices, skyrmions, and dynamic excitations, and then focuses on the phenomena that are driven by distinct topology in reciprocal momentum space, such as anomalous and spin Hall effects, topological insulators, and Weyl semimetals. Lastly, it examines how topology influences dynamic phenomena and excitations (such as spin waves, magnons, localized dynamic solitons, and Majorana fermions). The book also shows how these developments promise to lead the transformative revolution of information technology.
Book Synopsis Polarization Properties of Liquid Crystals by : S. A. Pikin
Download or read book Polarization Properties of Liquid Crystals written by S. A. Pikin and published by CRC Press. This book was released on 1989 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the theoretical investigations of the polarization properties of liquid crystals. It describes induced polarized structures and the effects which result from the interaction between the spontaneous or induced polarization and orientational non-uniformities in the media. Section 2 presents the phenomenological theory of ferroelectricity in smectic C liquid crystals, a symmetry analysis, a discussion on free energy and a description of some effects reflecting the influence of the boundaries and external forces. Sections 3 and 4 focus on the molecular statistical theory of polarizational properties.
Book Synopsis Physics Reviews by : Isaac M. Khalatnikov
Download or read book Physics Reviews written by Isaac M. Khalatnikov and published by CRC Press. This book was released on 1982 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bosons, Ferromagnetism and Crystal Growth Research by : Emerson D. Seifer
Download or read book Bosons, Ferromagnetism and Crystal Growth Research written by Emerson D. Seifer and published by Nova Publishers. This book was released on 2007 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together new leading-edge research on bosons, ferromagnetism and crystal growth.