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Nonlinear Phenomena And Chaos In Magnetic Materials

Nonlinear Phenomena And Chaos In Magnetic Materials
Author: Philip E Wigen
Publisher: World Scientific
Total Pages: 262
Release: 1994-05-06
Genre: Technology & Engineering
ISBN: 9814505498

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In this book, some of the principal investigators of the phenomena have reviewed their successes. The contributions include an overview of the field by H Suhl, followed by a detailed review of the high-power response of magnetic materials. Following that chapter, a number of authors review the phenomena for a variety of magnetic materials and pumping configurations.In the final chapter, evidence of another nonlinear effect is reviewed. Using a pulsed driving field, it is possible to excite a travelling spin wave. The nonlinear contributions will give rise to a “bunching” effect which compensates for the dispersive effects to produce a shape-preserving traveling wave pulse known as solitons.Ordered magnetic materials have provided a rich source for the investigation of nonlinear phenomena. These investigations have contributed much to our knowledge of the behavior of chaotic systems, as well as to a better understanding of the high-power response of the magnetic materials themselves.


Nonlinear Phenomena and Chaos in Magnetic Materials

Nonlinear Phenomena and Chaos in Magnetic Materials
Author: Philip E. Wigen
Publisher: World Scientific
Total Pages: 264
Release: 1994
Genre: Science
ISBN: 9789810210052

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In this book, some of the principal investigators of the phenomena have reviewed their successes. The contributions include an overview of the field by H Suhl, followed by a detailed review of the high-power response of magnetic materials. Following that chapter, a number of authors review the phenomena for a variety of magnetic materials and pumping configurations.In the final chapter, evidence of another nonlinear effect is reviewed. Using a pulsed driving field, it is possible to excite a travelling spin wave. The nonlinear contributions will give rise to a ?bunching? effect which compensates for the dispersive effects to produce a shape-preserving traveling wave pulse known as solitons.Ordered magnetic materials have provided a rich source for the investigation of nonlinear phenomena. These investigations have contributed much to our knowledge of the behavior of chaotic systems, as well as to a better understanding of the high-power response of the magnetic materials themselves.


The Center for Nonlinear Phenomena and Magnetic Materials

The Center for Nonlinear Phenomena and Magnetic Materials
Author:
Publisher:
Total Pages: 31
Release: 1992
Genre:
ISBN:

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We have proved existence and obtained estimates for the (finite) Hausdorff and fractal dimensions of global (maximal compact) attractors for the Landau-Lifschitz equations. These are the fundamental equations of the classical theory ferromagnetism. In order to obtain more detailed information about these attractors, we are currently developing approximation methods based on the theory of inertial manifolds. Inertial manifolds are finite dimensional manifolds which attract all solutions at an exponential rate. They contain the global attractor and have the advantage that they are manifolds whereas the attractors generally are not (they can be complicated fractal sets). The equations reduce to a finite-dimensional system of O.D.E.'s on the inertial manifolds. There is a class of calculational methods that have been developed in recent years, called nonlinear or modified Galerkin methods, which are closely related to the concept of inertial manifold and which are especially useful for the long-time integration of nonlinear differential equations. In the usual Galerkin approach, solutions of the nonlinear equation are sought in linear manifolds PuH which are spanned by the eigenfunctions of a linear operator which occurs in the problem. In the case of the Landau-Lifschitz equations, this is the Laplacian.


Nonlinear Magnetization Dynamics in Nanosystems

Nonlinear Magnetization Dynamics in Nanosystems
Author: Isaak D. Mayergoyz
Publisher: Elsevier
Total Pages: 479
Release: 2009-04-20
Genre: Mathematics
ISBN: 0080913792

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As data transfer rates increase within the magnetic recording industry, improvements in device performance and reliability crucially depend on the thorough understanding of nonlinear magnetization dynamics at a sub-nanoscale level. This book offers a modern, stimulating approach to the subject of nonlinear magnetization dynamics by discussing important aspects such as the Landau-Lifshitz-Gilbert (LLG) equation, analytical solutions, and the connection between the general topological and structural aspects of dynamics. An advanced reference for the study and understanding of nonlinear magnetization dynamics, it addresses situations such as the understanding of spin dynamics in short time scales and device performance and reliability in magnetic recording. Topics covered include nonlinear magnetization dynamics and the Landau-Lifshitz-Gilbert equation, nonlinear dynamical systems, spin waves, ferromagnetic resonance and pulsed magnetization switching. The book explains how to derive exact analytical solutions for the complete nonlinear problem and emphasises the connection between the general topological and structural aspects of nonlinear magnetization dynamics and the discretization schemes better suited to its numerical study. It is an exceptional research tool providing an advanced understanding of the study of magnetization dynamics in situations of fundamental and technological interest.


Magnetism of Surfaces, Interfaces, and Nanoscale Materials

Magnetism of Surfaces, Interfaces, and Nanoscale Materials
Author: Robert E. Camley
Publisher: Elsevier
Total Pages: 478
Release: 2015-10-27
Genre: Science
ISBN: 0444626395

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In the past 30 years, magnetic research has been dominated by the question of how surfaces and interfaces influence the magnetic and transport properties of nanostructures, thin films and multilayers. The research has been particularly important in the magnetic recording industry where the giant magnetoresistance effect led to a new generation of storage devices including hand-held memories such as those found in the ipod. More recently, transfer of spin angular momentum across interfaces has opened a new field for high frequency applications.This book gives a comprehensive view of research at the forefront of these fields. The frontier is expanding through dynamic exchange between theory and experiment. Contributions have been chosen to reflect this, giving the reader a unified overview of the topic. Addresses both theory and experiment that are vital for gaining an essential understanding of topics at the interface between magnetism and materials science Chapters written by experts provide great insights into complex material Discusses fundamental background material and state-of-the-art applications, serving as an indispensable guide for students and professionals at all levels of expertise Stresses interdisciplinary aspects of the field, including physics, chemistry, nanocharacterization, and materials science Combines basic materials with applications, thus widening the scope of the book and its readership


Spin Dynamics in Confined Magnetic Structures I

Spin Dynamics in Confined Magnetic Structures I
Author: Burkard Hillebrands
Publisher: Springer Science & Business Media
Total Pages: 363
Release: 2001-11-06
Genre: Science
ISBN: 3540411917

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Introductory chapters help newcomers to understand the basic concepts, and the more advanced chapters give the current state of the art for most spin dynamic issues in the milliseconds to femtoseconds range. Emphasis is placed on both the discussion of the experimental techniques and on the theoretical work. The comprehensive presentation of these developments makes this volume very timely and valuable for every researcher working in the field of magnetism.


Optical Solitons

Optical Solitons
Author: Yuri S. Kivshar
Publisher: Academic Press
Total Pages: 557
Release: 2003-06-12
Genre: Technology & Engineering
ISBN: 0080538096

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The current research into solitons and their use in fiber optic communications is very important to the future of communications. Since the advent of computer networking and high speed data transmission technology people have been striving to develop faster and more reliable communications media. Optical pulses tend to broaden over relatively short distances due to dispersion, but solitons on the other hand are not as susceptible to the effects of dispersion, and although they are subject to losses due to attenuation they can be amplified without being received and re-transmitted. This book is the first to provide a thorough overview of optical solitons. The main purpose of this book is to present the rapidly developing field of Spatial Optical Solitons starting from the basic concepts of light self-focusing and self-trapping. It will introduce the fundamental concepts of the theory of nonlinear waves and solitons in non-integrated but physically realistic models of nonlinear optics including their stability and dynamics. Also, it will summarize a number of important experimental verification of the basic theoretical predictions and concepts covering the observation of self-focusing in the earlier days of nonlinear optics and the most recent experimental results on spatial solitons, vortex solitons, and soliton interaction & spiraling. * Introduces the fundamental concepts of the theory of nonlinear waves and solitons through realistic models * Material is based on authors' years of experience actively working in and researching the field * Summarizes the most important experimental verification of the basic theories, predictions and concepts of this ever evolving field from the earliest studies to the most recent


Modern Ferrites, Volume 1

Modern Ferrites, Volume 1
Author: Vincent G. Harris
Publisher: John Wiley & Sons
Total Pages: 501
Release: 2022-11-01
Genre: Science
ISBN: 1118971485

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MODERN FERRITES, Volume 1 A robust exploration of the basic principles of ferrimagnetics and their applications In Modern Ferrites Volume 1: Basic Principles, Processing and Properties, renowned researcher and educator Vincent G. Harris delivers a comprehensive overview of the basic principles and ferrimagnetic phenomena of modern ferrite materials. Volume 1 explores the fundamental properties of ferrite systems, including their structure, chemistry, and magnetism; the latest in processing methodologies; and the unique properties that result. The authors explore the processing, structure, and property relationships in ferrites as nanoparticles, thin and thick films, compacts, and crystals and how these relationships are key to realizing practical device applications laying the foundation for next generation technologies. This volume also includes: Comprehensive investigation of the historical and scientific significance of ferrites upon ancient and modern societies; Neel’s expanded theory of molecular field magnetism applied to ferrimagnetic oxides together with theoretic advances in density functional theory; Nonlinear excitations in ferrite systems and their potential for device technologies; Practical discussions of nanoparticle, thin, and thick film growth techniques; Ferrite-based electronic band-gap heterostructures and metamaterials. Perfect for RF engineers and magnetitians working in the field of RF electronics, radar, communications, and spintronics as well as other emerging technologies. Modern Ferrites will earn a place on the bookshelves of engineers and scientists interested in the ever-expanding technologies reliant upon ferrite materials and new processing methodologies. Modern Ferrites Volume 2: Emerging Technologies and Applications is also available (ISBN: 9781394156139).


Relaxation Processes in Micromagnetics

Relaxation Processes in Micromagnetics
Author: Harry Suhl
Publisher: Oxford University Press
Total Pages: 209
Release: 2007-06-21
Genre: Mathematics
ISBN: 0198528027

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This book throws some light on poorly understood aspects of the motion of magnetization in magnetic solids, particularly the effects of dissipative mechanisms. Aside from its practical aspects (such as magnetic recording), it addresses readers interested in the basic physics of nonlinear phenomena.