Asymptotic model for twisted bent ferromagnetic wires with electric current

Abdel Kader Al Sayed (1) , Gilles Carbou (2) , Stéphane Labbé (1)

1 EDP - Equations aux Dérivées Partielles
2 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

In this paper, we derive a one-dimensional asymptotic model for the dynamics of the magnetic moment in a twisted ferromagnetic nanowire with arbitrary elliptical cross-section, curvature and torsion.

Mots clés: ferromagnetism; asymptotic process; nanowire; Landau-Lifschitz equation

Domaines: Equations aux dérivées partielles [math.AP]

Abdel Kader Al Sayed, Gilles Carbou, Stéphane Labbé. Asymptotic model for twisted bent ferromagnetic wires with electric current. Zeitschrift für Angewandte Mathematik und Physik, 2019, 70 (1), ⟨10.1007/s00033-018-1052-4⟩. ⟨hal-01834628⟩