Title
Pattern Formation in Axially Symmetric Landau–Lifshitz–Gilbert–Slonczewski Equations
Abstract
The Landau–Lifshitz–Gilbert–Slonczewski equation describes magnetization dynamics in the presence of an applied field and a spin-polarized current. In the case of axial symmetry and with focus on one space dimension, we investigate the emergence of space–time patterns in the form of wavetrains and coherent structures, whose local wavenumber varies in space. A major part of this study concerns existence and stability of wavetrains and of front- and domain wall-type coherent structures whose profiles asymptote to wavetrains or the constant up-/down-magnetizations. For certain polarization, the Slonczewski term can be removed which allows for a more complete characterization, including soliton-type solutions. Decisive for the solution structure is the polarization parameter as well as size of anisotropy compared with the difference of field intensity and current intensity normalized by the damping.
Year
DOI
Venue
2017
https://doi.org/10.1007/s00332-017-9376-3
Journal of Nonlinear Science
Field
DocType
Volume
Anisotropy,Landau–Lifshitz–Gilbert equation,Asymptote,Wavenumber,Polarization (waves),Axial symmetry,Pattern formation,Magnetization dynamics,Classical mechanics,Mathematics
Journal
27
Issue
ISSN
Citations 
5
0938-8974
0
PageRank 
References 
Authors
0.34
4
2
Name
Order
Citations
PageRank
Christof Melcher1164.09
Jens D. M. Rademacher2165.06