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Nonlinear Phenomena And Chaos In Magnetic Materials

1994-05-06 Technology & Engineering
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Release : 1994-05-06
Genre : Technology & Engineering
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Book Rating : 498/5 ( reviews)

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Book Synopsis Nonlinear Phenomena And Chaos In Magnetic Materials by : Philip E Wigen

Download or read book Nonlinear Phenomena And Chaos In Magnetic Materials written by Philip E Wigen. This book was released on 1994-05-06. Available in PDF, EPUB and Kindle. Book excerpt: 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

1994 Science
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Release : 1994
Genre : Science
Kind : eBook
Book Rating : 052/5 ( reviews)

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Book Synopsis Nonlinear Phenomena and Chaos in Magnetic Materials by : Philip E. Wigen

Download or read book Nonlinear Phenomena and Chaos in Magnetic Materials written by Philip E. Wigen. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Book Synopsis Nonlinear Phenomena And Chaos In Magnetic Materials by : P.E. Wigen

Download or read book Nonlinear Phenomena And Chaos In Magnetic Materials written by P.E. Wigen. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

The Center for Nonlinear Phenomena and Magnetic Materials

1992
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Release : 1992
Genre :
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Book Synopsis The Center for Nonlinear Phenomena and Magnetic Materials by :

Download or read book The Center for Nonlinear Phenomena and Magnetic Materials written by . This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt: 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

2009-04-20 Mathematics
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Release : 2009-04-20
Genre : Mathematics
Kind : eBook
Book Rating : 792/5 ( reviews)

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Book Synopsis Nonlinear Magnetization Dynamics in Nanosystems by : Isaak D. Mayergoyz

Download or read book Nonlinear Magnetization Dynamics in Nanosystems written by Isaak D. Mayergoyz. This book was released on 2009-04-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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