The scattering of a skyrmion configuration on asymmetric holes or barriers in a model Landau-Lifshitz equation - Nonlinear Sciences > Pattern Formation and SolitonsReport as inadecuate




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Abstract: This current work is an extension to work previously done by the authors. Thedynamics of a baby skyrmion configuration, in a model Landau-Lifshitz equation,was studied in the presence of various potential obstructions. The babyskyrmion configuration was constructed from two Q=1 hedgehog solutions to thenew baby Skyrme model in $2+1$ dimensions.The potential obstructions were created by introducing a new term into theLagrangian which resulted in a localised inhomogeneity in the potential term-scoefficient. In the barrier system the normal circular path was deformed as theskyrmions traversed the barrier, after which the skyrmions orbited the boundaryof the system. For critical values of the barrier height and width theskyrmions were no longer bound although the unbound behaviour is not clearlydistinct from the bound. In the case of a potential hole the dynamics of babyskyrmions is dependent upon the binding energy of the system. Depending uponits value, the skyrmions- behaviour varies. The angular momentum must bemodified to ensure overall conservation. We show that there exists a linkbetween the oscillation in the skyrmion-s energy density and the periods ofnon-conservation of the angular momentum in Landau-Lifshitz models.



Author: J.C. Collins, W.J. Zakrzewski

Source: https://arxiv.org/







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