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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
107/2007

Moving domain walls in magnetic nanowires

Katharina Kühn

Abstract

This paper investigates the reversal of magnetic nanowires via a perturbation argument from the static case. We consider the gradient flow equation of the micromagnetic energy including the nonlocal stray field energy. For thin wires and weak external magnetic fields we show the existence of travelling wave solutions. These travelling waves are almost constant on the cross section and can thus be seen as moving domain walls of a type called transverse wall.

Received:
Dec 13, 2007
Published:
Dec 13, 2007
MSC Codes:
82D40, 47J35

Related publications

inJournal
2009 Repository Open Access
Katharina Kühn

Moving domain walls in magnetic nanowires

In: Annales de l'Institut Henri Poincaré / C, 26 (2009) 4, pp. 1345-1360