Leapfrogging vortex rings in the Landau-Lifshitz equation
2014 (English)In: Nonlinearity, ISSN 0951-7715, E-ISSN 1361-6544, Vol. 27, no 9, 2095-2109 p.Article in journal (Refereed) Published
Vortex rings are ubiquitous in fluids, with smoke rings being a familiar example. The interaction of multiple vortex rings produces complex dynamical behaviour, such as the leapfrogging motion first analysed by Helmholtz more than a century and a half ago. Here we report on numerical investigations of vortex ring dynamics in a different setting from fluids, namely, as solutions of the Landau-Lifshitz equation that models the evolution of the local magnetization in a ferromagnetic medium. We present the results of the first study on the dynamics of interacting magnetic vortex rings and provide a novel link between fluids and magnetism, by showing that a range of phenomena familiar in fluids are reproduced in ferromagnets. This includes the leapfrogging motion of a pair of vortex rings and evidence for the chaotic dynamics of a trio of rings.
Place, publisher, year, edition, pages
2014. Vol. 27, no 9, 2095-2109 p.
vortex rings, Landau-Lifshitz equation, leapfrogging
IdentifiersURN: urn:nbn:se:uu:diva-236092DOI: 10.1088/0951-7715/27/9/2095ISI: 000342750500009OAI: oai:DiVA.org:uu-236092DiVA: diva2:763403