Domain wall motion in magnetic nanowires: an asymptotic approach

Goussev, Arseni, Lund, Ross, Robbins, Jonathan, Slastikov, Valeriy and Sonnenberg, Charles (2013) Domain wall motion in magnetic nanowires: an asymptotic approach. Proceedings of the Royal Society A, 469 (2160). p. 20130308. ISSN 1364-5021

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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 governed by the Landau–Lifshitz–Gilbert equation, is investigated via a perturbation expansion. We compute leading-order behaviour, propagation velocities and first-order corrections of both travelling waves and oscillatory solutions, and find bifurcations between these two types of solutions. This treatment provides a sound mathematical foundation for numerous results in the literature obtained through more ad hoc arguments.

Item Type: Article
Uncontrolled Keywords: micromagnetics, nanowires, domain wall motion
Subjects: F300 Physics
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Arseni Goussev
Date Deposited: 17 Oct 2013 11:48
Last Modified: 13 Oct 2019 00:32

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