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Walls in infinite bent ferromagnetic nanowires
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 27 (2018) no. 5, pp. 897-924.

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.

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.

Reçu le : 2016-03-23
Accepté le : 2017-01-24
Publié le : 2019-01-21
DOI : https://doi.org/10.5802/afst.1587
Classification : 35K55,  35Q60
Mots clés: ferromagnetism, Landau–Lifschitz equation, stability, domain walls
@article{AFST_2018_6_27_5_897_0,
     author = {Abdel Kader Al Sayed and Gilles Carbou},
     title = {Walls in infinite bent ferromagnetic nanowires},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     publisher = {Universit\'e Paul Sabatier, Toulouse},
     volume = {Ser. 6, 27},
     number = {5},
     year = {2018},
     pages = {897-924},
     doi = {10.5802/afst.1587},
     language = {en},
     url = {afst.centre-mersenne.org/item/AFST_2018_6_27_5_897_0/}
}
Abdel Kader Al Sayed; Gilles Carbou. Walls in infinite bent ferromagnetic nanowires. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 27 (2018) no. 5, pp. 897-924. doi : 10.5802/afst.1587. https://afst.centre-mersenne.org/item/AFST_2018_6_27_5_897_0/

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