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arXiv · 1310.4442

Domain wall motion in magnetic nanowires: An asymptotic approach

Arseni Goussev·Ross G. Lund·JM Robbins·Valeriy Slastikov·Charles Sonnenberg
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Abstract

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.

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Arseni Goussev, Ross G. Lund, JM Robbins, Valeriy Slastikov, Charles Sonnenberg. 2013-10-16. Domain wall motion in magnetic nanowires: An asymptotic approach. https://doi.org/10.1098/rspa.2013.0308

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