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Scattering of a two skyrmion configuration on potential holes or barriers in a model Landau–Lifshitz equation - MaRDI portal

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Scattering of a two skyrmion configuration on potential holes or barriers in a model Landau–Lifshitz equation

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Publication:3630305

DOI10.1088/1751-8113/42/16/165102zbMATH Open1162.81417arXiv0809.0459OpenAlexW2040410665MaRDI QIDQ3630305

Author name not available (Why is that?)

Publication date: 28 May 2009

Published in: (Search for Journal in Brave)

Abstract: The dynamics of a baby skyrmion configuration, in a model Landau-Lifshitz equation, was studied in the presence of various potential obstructions. The baby skyrmion configuration was constructed from two Q=1 hedgehog solutions to the baby skyrme model in (2+1)dimensions. The potential obstructions were created by introducing a new term into the Lagrangian which resulted in a localised inhomogeneity in the potential terms' coefficient. In the barrier system, the normal circular path was deformed as the skyrmions traversed the barrier. During the same period, it was seen that the skyrmions sped up as they went over the barrier. For critical values of the barrier height and width, the skyrmions were no longer bound and were free to separate. In the case of a potential hole, the baby skyrmions no longer formed a bound state and moved asymptotically along the axis of the hole. It is shown how to modify the definition of the angular momentum to include the effects of the obstructions, so that it is conserved.


Full work available at URL: https://arxiv.org/abs/0809.0459




Mathematics Subject Classification ID

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