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We address the dynamics of magnetic domain walls in ferromagnetic nanowires under the influence of external time-dependent magnetic fields. We report a new exact spatiotemporal solution of the Landau-Lifshitz-Gilbert equation for the case…

Materials Science · Physics 2010-04-13 Arseni Goussev , JM Robbins , Valeriy Slastikov

We study the dynamics of a domain wall under the influence of applied magnetic fields in a one-dimensional ferromagnetic nanowire, governed by the Landau--Lifshitz--Gilbert equation. Existence of travelling-wave solutions close to two known…

Analysis of PDEs · Mathematics 2016-05-30 Ross G. Lund , J. M. Robbins , Valeriy Slastikov

We show that recently reported precessing solution of Landau-Lifshitz-Gilbert equations in ferromagnetic nanowires is stable under small perturbations of initial data, applied field and anisotropy constant. Linear stability is established…

Materials Science · Physics 2011-10-07 Yan Gou , Arseni Goussev , JM Robbins , Valeriy Slastikov

Motivated by the difference between the dynamics of magnetization textures in ferromagnets and antiferromagnets, the Landau-Lifshitz equation of motion is explored. A typical one-dimensional domain wall in a bulk ferromagnet with biaxial…

Materials Science · Physics 2020-03-25 Ricardo Rama-Eiroa , Rubén M. Otxoa , Pierre E. Roy , Konstantin Y. Guslienko

The motion of domain walls in ferromagnetic, cylindrical nanowires is investigated numerically by solving the Landau-Lifshitz-Gilbert equation for a classical spin model in which energy contributions from exchange, crystalline anisotropy,…

Condensed Matter · Physics 2009-11-10 R. Wieser , U. Nowak , K. D. Usadel

We develop a systematic asymptotic description for domain wall motion in one-dimensional magnetic nanowires under the influence of small applied magnetic fields and currents and small material anisotropy. The magnetization dynamics, as…

Materials Science · Physics 2013-10-17 Arseni Goussev , Ross G. Lund , JM Robbins , Valeriy Slastikov , Charles Sonnenberg

Under a magnetic field along its axis, domain wall motion in a uniaxial nanowire is much slower than in the fully anisotropic case, typically by several orders of magnitude (the square of the dimensionless Gilbert damping parameter).…

Materials Science · Physics 2013-08-20 Arseni Goussev , Ross G. Lund , J. M. Robbins , Valeriy Slastikov , Charles Sonnenberg

This article is concerned with the dynamics of magnetic domain walls (DWs) in nanowires as solutions to the classical Landau-Lifschitz-Gilbert equation augmented by a typically non-variational Slonczewski term for spin-torque effects.…

Mathematical Physics · Physics 2020-12-03 Jens D. M. Rademacher , Lars Siemer

A simplified model is introduced and analysed to show, that for the Landau-Lifshitz equation stable, steady state solutions of domain type exist in ferromagnetic systems, strongly driven by external transverse fields. These dynamic domain…

Condensed Matter · Physics 2007-05-23 T. Plefka

We investigate field-driven domain wall (DW) propagation in magnetic nanowires in the framework of the Landau-Lifshitz-Gilbert equation. We propose a new strategy to speed up the DW motion in a uniaxial magnetic nanowire by using an optimal…

Materials Science · Physics 2015-05-14 Z. Z. Sun , J. Schliemann

In order to explain recent experiments reporting a motion of magnetic domain walls (DW) in nanowires carrying a current, we propose a modification of the spin transfer torque term in the Landau-Lifchitz-Gilbert equation. We show that it…

Materials Science · Physics 2015-06-24 A. Thiaville , Y. Nakatani , J. Miltat , Y Suzuki

Recent analytical and numerical work on field driven domain wall propagation in nanowires has shown that for large transverse anisotropy and sufficiently large applied fields the Walker profile becomes unstable before the breakdown field,…

Mesoscale and Nanoscale Physics · Physics 2015-10-19 M. C. Depassier

We express dynamics of domain walls in ferromagnetic nanowires in terms of collective coordinates generalizing Thiele's steady-state results. For weak external perturbations the dynamics is dominated by a few soft modes. The general…

Materials Science · Physics 2008-03-31 O. A. Tretiakov , D. Clarke , Gia-Wei Chern , Ya. B. Bazaliy , O. Tchernyshyov

We consider an infinite ferromagnetic nanowire, with an energy functional $E$ with easy-axis in the direction $e_1$ and a constant external magnetic field $H_{ext} = h_0 e_1$ along the same direction. The evolution of its magnetization is…

Analysis of PDEs · Mathematics 2025-06-27 Guillaume Ferriere

We consider a ferromagnetic nanowire, with an energy functional E with easy-axis in the direction $e_1$, and which takes into account the Dzyaloshinskii-Moriya interaction. We consider configurations of the magnetization which are…

Analysis of PDEs · Mathematics 2025-11-26 Raphaël Côte , Guillaume Ferriere

A multiple-time scaling analysis of the dissipative, transversely driven Landau-Lifshitz equation in presence of exchange, shape demagnetisation and week anisotropy fields is performed for a dynamic domain state. Stationary solutions of the…

patt-sol · Physics 2008-02-03 Timm Plefka

In this work, we report analytical results on transverse domain wall (TDW) statics and field-driven dynamics in quasi one-dimensional biaxial nanowires under arbitrary uniform transverse magnetic fields (TMFs) based on the…

Mesoscale and Nanoscale Physics · Physics 2016-12-16 Jie Lu

In case of a spin-polarized current, the magnetization dynamics in nanowires are governed by the classical Landau-Lifschitz equation with Gilbert damping term, augmented by a typically non-variational Slonczewski term. Taking axial symmetry…

Analysis of PDEs · Mathematics 2020-06-24 Lars Siemer , Ivan Ovsyannikov , Jens D. M. Rademacher

We show that chiral symmetry breaking enables traveling domain wall solution for the conservative Landau-Lifshitz equation of a uniaxial ferromagnet with Dzyaloshinskii-Moriya interaction. In contrast to related domain wall models including…

Mesoscale and Nanoscale Physics · Physics 2019-06-28 Stavros Komineas , Christof Melcher , Stephanos Venakides

Spin wave equations in the non-equilibrium precessing state of a ferromagnetic system are found. They show a spin-wave instability towards growing domains of stable magnetization. Precession of the uniform magnetization mode is described by…

Materials Science · Physics 2007-05-23 A. Kashuba
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