Domain wall dynamics in notched ferromagnetic nanowires

We study the dynamics of magnetization reversals, known as walls, in a notched ferromagnetic nanowire. The model used is the Landau–Lifschitz equation in dimension 1, with a weight representing the notch. Despite the pinning properties of notches, we establish in this article that when the applied field tends to push the wall far away from the notch, pinning effects are negligible, and wall dynamics are asymptotically close to those in an unnotched wire.

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Publication Details

Journal
ESAIM. Mathematical modelling and numerical analysis
Published
2025-01-10
DOI
https://doi.org/10.1051/m2an/2025001
Primary Topic
Magnetic properties of thin films
Type
article
Field-Weighted Citation Impact
0.00

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article

Domain wall dynamics in notched ferromagnetic nanowires

Gilles Carbou, Mustapha Jazar, Mouna Kassan
ESAIM. Mathematical modelling and numerical analysis
Magnetic properties of thin films
article

Domain wall dynamics in notched ferromagnetic nanowires

Gilles Carbou, Mustapha Jazar, Mouna Kassan
article en

Abstract

We study the dynamics of magnetization reversals, known as walls, in a notched ferromagnetic nanowire. The model used is the Landau–Lifschitz equation in dimension 1, with a weight representing the notch. Despite the pinning properties of notches, we establish in this article that when the applied field tends to push the wall far away from the notch, pinning effects are negligible, and wall dynamics are asymptotically close to those in an unnotched wire.

ESAIM. Mathematical modelling and numerical analysisVol. 59(2)
Centre National de la Recherche Scientifique (FR), Université de Pau et des Pays de l'Adour (FR), Lebanese University (LB), Laboratoire de Mathématiques et de leurs Applications (FR), National Council for Scientific Research (LB)
Agence Nationale de la Recherche
Openalex Percentile: Top 100%
Magnetic properties of thin films
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