Описание: This book is based on a course of lectures aimed at undergraduate and graduate students studying materials science and welding at the E.O. Paton Institute of Materials Science and Welding National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute." The book is divided into four parts, each focusing on various aspects of magnetic solitons in ferromagnetic nanosystems. The first two parts of the book cover the quantum and thermodynamic properties of uniaxial ferromagnetic films with strong magnetic anisotropy and cylindrical nanowires made of different chemical compositions (ferrite-garnet, iron, nickel). These properties are related to the presence of "kink" solitons, which are vertical Bloch lines (BLs) and domain walls (DWs) of transverse type, respectively. The third part of the book discusses the effect of thermal motion of transverse-type DWs on the magnetocaloric effect in cylindrical iron and nickel nanowires. The fourth part of the book explores the conditions that lead to structural transitions between different types of DWs, including transverse, asymmetric, and DWs with a Bloch point (point soliton). Each part of the book is summarized at the end, highlighting the main results presented. Overall, the book is designed to provide students with a comprehensive understanding of magnetic solitons in ferromagnetic nanosystems and their associated quantum, thermodynamic, and structural properties.
Автор: A.R. Bishop; T. Schneider Название: Solitons and Condensed Matter Physics ISBN: 3642812937 ISBN-13(EAN): 9783642812934 Издательство: Springer Рейтинг: Цена: 18284.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Описание: Kinks and domain walls are the simplest kind of solitons and are invaluable for testing various ideas and for learning about non-perturbative aspects of field theories. They are the subject of research in essentially every branch of physics, ranging from condensed matter to cosmology. This book, first published in 2006, is an introduction to kinks and domain walls and their principal classical and quantum properties. The book examines classical solitons, building from examples in elementary systems to more complicated settings. The formation of solitons in phase transitions, their dynamics and their cosmological consequences are further discussed. The volume concludes with an explicit description of a few laboratory systems containing solitons. This text will be of interest to both graduate students and academic researchers in theoretical physics, particle physics, cosmology and condensed matter physics. This book has been reissued as an Open Access publication on Cambridge Core.
Описание: Kinks and domain walls are the simplest kind of solitons and are invaluable for testing various ideas and for learning about non-perturbative aspects of field theories. They are the subject of research in essentially every branch of physics, ranging from condensed matter to cosmology. This book, first published in 2006, is an introduction to kinks and domain walls and their principal classical and quantum properties. The book examines classical solitons, building from examples in elementary systems to more complicated settings. The formation of solitons in phase transitions, their dynamics and their cosmological consequences are further discussed. The volume concludes with an explicit description of a few laboratory systems containing solitons. This text will be of interest to both graduate students and academic researchers in theoretical physics, particle physics, cosmology and condensed matter physics. This book has been reissued as an Open Access publication on Cambridge Core.
Описание: An introduction to integrable and non-integrable scalar field models, with topological and non-topological soliton solutions. Focusing on both topological and non-topological solitons, this book brings together discussion of solitary waves and construction of soliton solutions and provides a discussion of solitons using simple model examples.
Автор: Anne-Christine Davis; Robert Brandenberger Название: Formation and Interactions of Topological Defects ISBN: 1461357675 ISBN-13(EAN): 9781461357674 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of a NATO ASI held in Cambridge, England, August 22-September 2, 1994
Quantum dynamics underlies macroscopic systems exhibiting some kind of ordering, such as superconductors, ferromagnets and crystals. Even large scale structures in the Universe and ordering in biological systems appear to be the manifestation of microscopic dynamics ruling their elementary components. The scope of this book is to answer questions such as: how it happens that the mesoscopic/macroscopic scale and stability characterizing those systems are dynamically generated out of the microscopic scale of fluctuating quantum components; how quantum particles coexist and interact with classically behaving macroscopic objects, e.g. vortices, magnetic domains and other topological defects. The quantum origin of topological defects and their interaction with quanta is a crucial issue for the understanding of symmetry breaking phase transitions and structure formation in a wide range of systems from condensed matter to cosmology. Deliberately not discussing other important problems, primarily renormalization problems, this book provides answers to such questions in a unitary, self-consistent physical and mathematical framework, which makes it unique in the panorama of existing texts on a similar subject. Crystals, ferromagnets and superconductors appear to be macroscopic quantum systems, i.e. their macroscopic properties cannot be explained without recourse to the underlying quantum dynamics. Recognizing that quantum field dynamics is not confined to the microscopic world is one of the achievements of this book, also marking its difference from other texts. The combined use of algebraic methods, and operator and functional formalism constitutes another distinctive, valuable feature.
Автор: Lui Lam; Jacques Prost Название: Solitons in Liquid Crystals ISBN: 1461269466 ISBN-13(EAN): 9781461269465 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Solitons are a well-known and intriguing aspect of nonlinear behavior in a continuous system such as a fluid: a wave propagates through the medium without distortion.
Автор: Ferreira Название: Dissipative Optical Solitons ISBN: 3030974928 ISBN-13(EAN): 9783030974923 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book introduces the basic concept of a dissipative soliton, before going to explore recent theoretical and experimental results for various classes of dissipative optical solitons, high-energy dissipative solitons and their applications, and mode-locked fiber lasers. A soliton is a concept which describes various physical phenomena ranging from solitary waves forming on water to ultrashort optical pulses propagating in an optical fiber. While solitons are usually attributed to integrability, in recent years the notion of a soliton has been extended to various systems which are not necessarily integrable. Until now, the main emphasis has been given to well-known conservative soliton systems, but new avenues of inquiry were opened when physicists realized that solitary waves did indeed exist in a wide range of non-integrable and non-conservative systems leading to the concept of so-called dissipative optical solitons. Dissipative optical solitons have many unique properties which differ from those of their conservative counterparts. For example, except for very few cases, they form zero-parameter families and their properties are completely determined by the external parameters of the optical system. They can exist indefinitely in time, as long as these parameters stay constant. These features of dissipative solitons are highly desirable for several applications, such as in-line regeneration of optical data streams and generation of stable trains of laser pulses by mode-locked cavities.
Автор: Akira Hasegawa Название: Physics and Applications of Optical Solitons in Fibres `95 ISBN: 9401072779 ISBN-13(EAN): 9789401072779 Издательство: Springer Рейтинг: Цена: 39970.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the Symposium held in Kyoto, November 14-17, 1995
Автор: Guo Boling, Pang Xiao-Feng, Wang Yu-Feng Название: Solitons ISBN: 3110549247 ISBN-13(EAN): 9783110549249 Издательство: Walter de Gruyter Цена: 40403.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential reference for researchers and graduate students in applied mathematics and physics.
Contents Introduction Inverse scattering transform Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations Interaction of solitons and its asymptotic properties Hirota method B cklund transformations and the infinitely many conservation laws Multi-dimensional solitons and their stability Numerical computation methods for some nonlinear evolution equations The geometric theory of solitons Global existence and blow up for the nonlinear evolution equations The soliton movements of elementary particles in nonlinear quantum field The theory of soliton movement of superconductive features The soliton movements in condensed state systemsontents
Автор: Helal Название: Solitons ISBN: 1071624563 ISBN-13(EAN): 9781071624562 Издательство: Springer Рейтинг: Цена: 48913.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This newly updated volume of the Encyclopedia of Complexity and Systems Science (ECSS) presents several mathematical models that describe this physical phenomenon, including the famous non-linear equation Korteweg-de-Vries (KdV) that represents the canonical form of solitons. Also, there exists a class of nonlinear partial differential equations that led to solitons, e.g., Kadomtsev-Petviashvili (KP), Klein-Gordon (KG), Sine-Gordon (SG), Non-Linear Schr?dinger (NLS), Korteweg-de-Vries Burger’s (KdVB), etc. Different linear mathematical methods can be used to solve these models analytically, such as the Inverse Scattering Transformation (IST), Adomian Decomposition Method, Variational Iteration Method (VIM), Homotopy Analysis Method (HAM) and Homotopy Perturbation Method (HPM). Other non-analytic methods use the computational techniques available in such popular mathematical packages as Mathematica, Maple, and MATLAB. The main purpose of this volume is to provide physicists, engineers, and their students with the proper methods and tools to solve the soliton equations, and to discover the new possibilities of using solitons in multi-disciplinary areas ranging from telecommunications to biology, cosmology, and oceanographic studies.
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