Skip to content

Domain wall motion in magnetic nanowires: an asymptotic approach

Research output: Contribution to journalArticle

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.

Original languageEnglish
Article number20130308
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume469
Issue number2160
DOIs
Publication statusPublished - 8 Dec 2013

Related information

Relations Get citation (various referencing formats)

ID: 14460496