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no. 5
Walls in infinite bent ferromagnetic nanowires
Abdel Kader Al Sayed1; Gilles Carbou1
1 CNRS / Université de Pau et des Pays de l’Adour, LMAP - UMR CNRS 5142, IPRA, E2S UPPA, Avenue de l’Université - BP 1155, 64013 PAU, France
Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 27 (2018) no. 5, pp. 897-924.

We study a one-dimensional model for a bent ferromagnetic nanowire. We prove the existence of static solutions describing either one domain or two domains separated by a wall. We address the stability of these solutions. In particular, we show that the asymptotically stable wall profiles are pinned at the bend even in presence of a small applied magnetic field.

Dans cet article, on étudie un modèle monodimensionnel de fil ferromagnétique présentant un coude. On explicite toutes les solutions stationnaires décrivant soit un domaine soit deux domaines séparés par un mur. On étudie ensuite la stabilité de ces solutions. On montre en particulier que certains profils de murs sont asymptotiquement stables, l’interprétation physique de ce résultat étant que les murs restent bloqués au niveau du coude, et ce même en présence d’un champ magnétique appliqué.

Received:
Accepted:
Published online:
DOI: 10.5802/afst.1587
Classification: 35K55, 35Q60
Keywords: ferromagnetism, Landau–Lifschitz equation, stability, domain walls

Abdel Kader Al Sayed 1; Gilles Carbou 1

1 CNRS / Université de Pau et des Pays de l’Adour, LMAP - UMR CNRS 5142, IPRA, E2S UPPA, Avenue de l’Université - BP 1155, 64013 PAU, France
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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     title = {Walls in infinite bent ferromagnetic nanowires},
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     pages = {897--924},
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Abdel Kader Al Sayed; Gilles Carbou. Walls in infinite bent ferromagnetic nanowires. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 27 (2018) no. 5, pp. 897-924. doi : 10.5802/afst.1587. https://afst.centre-mersenne.org/articles/10.5802/afst.1587/

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