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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…

偏微分方程分析 · 数学 2016-05-30 Ross G. Lund , J. M. Robbins , Valeriy Slastikov

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…

材料科学 · 物理学 2010-04-13 Arseni Goussev , JM Robbins , Valeriy Slastikov

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…

材料科学 · 物理学 2013-10-17 Arseni Goussev , Ross G. Lund , JM Robbins , Valeriy Slastikov , Charles Sonnenberg

We study the stability of travelling wall profiles for a one dimensional model of ferromagnetic nanowire submitted to an exterior magnetic field. We prove that these profiles are asymptotically stable modulo a translation-rotation for small…

偏微分方程分析 · 数学 2009-05-12 Gilles Carbou , Stéphane Labbé

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,…

凝聚态物理 · 物理学 2009-11-10 R. Wieser , U. Nowak , K. D. Usadel

We report the existence of a new regime for domain wall motion in uniaxial and near-uniaxial ferromagnetic nanowires, characterised by applied magnetic fields sufficiently strong that one of the domains becomes unstable. There appears a new…

介观与纳米尺度物理 · 物理学 2020-02-05 Arseni Goussev , JM Robbins , Valeriy Slastikov , Sergiy Vasylkevych

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…

偏微分方程分析 · 数学 2025-06-27 Guillaume Ferriere

We propose a method, which enables precise control of magnetic patterns, relying only on the fundamental properties of the wire and the choice of the path in the controlled parameter space but not on the rate of motion along this path.…

材料科学 · 物理学 2009-11-13 N. A. Sinitsyn , V. V. Dobrovitski , S. Urazhdin , A. Saxena

The Landau--Lifshitz equation describes the dynamics of magnetization inside a ferromagnet. This equation is nonlinear and has an infinite number of stable equilibria. It is desirable to control the system from one equilibrium to another. A…

最优化与控制 · 数学 2015-09-29 Amenda Chow , Kirsten A. Morris

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…

材料科学 · 物理学 2015-06-24 A. Thiaville , Y. Nakatani , J. Miltat , Y Suzuki

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…

介观与纳米尺度物理 · 物理学 2019-06-28 Stavros Komineas , Christof Melcher , Stephanos Venakides

In thin ferromagnetic films, the predominance of the magnetic shape anisotropy leads to in-plane magnetizations. The simplest domain wall in this geometry is the one-dimensional Neel wall that connects two magnetizations of opposite sign by…

偏微分方程分析 · 数学 2010-06-25 Alexander Huber

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…

材料科学 · 物理学 2020-03-25 Ricardo Rama-Eiroa , Rubén M. Otxoa , Pierre E. Roy , Konstantin Y. Guslienko

Directed motion of domain walls (DWs) in a classical biaxial ferromagnet placed under the influence of periodic unbiased external magnetic fields is investigated. Using the symmetry approach developed in this article the necessary…

斑图形成与孤子 · 物理学 2011-02-15 Yaroslav Zolotaryuk , Maxim M. Osmanov

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…

介观与纳米尺度物理 · 物理学 2016-12-16 Jie Lu

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…

偏微分方程分析 · 数学 2025-11-26 Raphaël Côte , Guillaume Ferriere

The Landau-Lifshitz equation is a coupled set of nonlinear partial differential equations that describes the dynamics of magnetization in a ferromagnet. This equation has an infinite number of stable equilibria. Steering the system from one…

偏微分方程分析 · 数学 2016-05-31 Amenda Chow , Kirsten A. Morris

We propose a Hamiltonian dynamics formalism for the current and magnetic field driven dynamics of ferromagnetic and antiferromagnetic domain walls in one dimensional systems. To demonstrate the power of this formalism, we derive Hamilton…

介观与纳米尺度物理 · 物理学 2017-05-12 Davi R. Rodrigues , Karin Everschor-Sitte , Oleg A. Tretiakov , Jairo Sinova , Ar. Abanov

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…

材料科学 · 物理学 2008-03-31 O. A. Tretiakov , D. Clarke , Gia-Wei Chern , Ya. B. Bazaliy , O. Tchernyshyov

The switching of magnetic layers is studied under the action of a spin current in a ferromagnetic metal/non-magnetic metal/ferromagnetic metal spin valve. We find that the main contribution to the switching comes from the non-equilibrium…

介观与纳米尺度物理 · 物理学 2009-10-31 C. Heide , P. E. Zilberman , R. J. Elliott
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