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Traveling Wave Solutions of the One-Dimensional Extended Landau-Lifshitz-Gilbert Equation with Nonlinear Dry and Viscous Dissipations

Traveling Wave Solutions of the One-Dimensional Extended Landau-Lifshitz-Gilbert Equation with... The one-dimensional propagation of magnetic domain walls in ferromagnetic nanostrips is investigated in the framework of the extended Landau-Lifshitz-Gilbert equation which includes the effects of spin-polarized currents. The generalized model herein considered explicitly takes also into account two nonlinear mechanisms of dissipation, a rate-dependent viscous-like and a rate-independent dry-like, which are introduced for a better description of the relaxation processes in real samples. By adopting the traveling waves ansatz, we characterize the domain wall motion in two dynamical regimes, steady and precessional. The analytical results are also evaluated numerically in order to elucidate the corresponding physical implications. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Traveling Wave Solutions of the One-Dimensional Extended Landau-Lifshitz-Gilbert Equation with Nonlinear Dry and Viscous Dissipations

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References (22)

Publisher
Springer Journals
Copyright
Copyright © 2012 by Springer Science+Business Media B.V.
Subject
Mathematics; Mechanics; Computer Science, general; Mathematics, general; Statistical Physics, Dynamical Systems and Complexity; Theoretical, Mathematical and Computational Physics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-012-9733-z
Publisher site
See Article on Publisher Site

Abstract

The one-dimensional propagation of magnetic domain walls in ferromagnetic nanostrips is investigated in the framework of the extended Landau-Lifshitz-Gilbert equation which includes the effects of spin-polarized currents. The generalized model herein considered explicitly takes also into account two nonlinear mechanisms of dissipation, a rate-dependent viscous-like and a rate-independent dry-like, which are introduced for a better description of the relaxation processes in real samples. By adopting the traveling waves ansatz, we characterize the domain wall motion in two dynamical regimes, steady and precessional. The analytical results are also evaluated numerically in order to elucidate the corresponding physical implications.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: May 23, 2012

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