Professor Bernard Piette b.m.a.g.piette@durham.ac.uk
Professor
Planar Skyrmions: vibrational modes and dynamics
Piette, B.; Ward, R.S.
Authors
R.S. Ward
Contributors
W J Zakrzewski w.j.zakrzewski@durham.ac.uk
Other
Abstract
We study Skyrmion dynamics in a (2+1)-dimensional Skyrme model. The system contains a dimensionless parameter α, with α=0 corresponding to the O(3) sigma-model. If two Skyrmions collide head-on, then they can either coalesce or scatter—this depends on α and on the incident speed v, and is affected by transfer of energy to and from the internal vibrational modes of the Skyrmions. We classify these internal modes and compute their spectrum, for a range of values of α. In particular, we find that there is a fractal-like structure of scattering windows, analogous to those seen for kink–antikink scattering in 1+1 dimensions.
Citation
Piette, B., & Ward, R. (2005). Planar Skyrmions: vibrational modes and dynamics. Physica D: Nonlinear Phenomena, 201(1-2), 45-55. https://doi.org/10.1016/j.physd.2004.12.001
Journal Article Type | Article |
---|---|
Publication Date | 2005-02 |
Deposit Date | May 1, 2007 |
Journal | Physica D: Nonlinear Phenomena |
Print ISSN | 0167-2789 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 201 |
Issue | 1-2 |
Pages | 45-55 |
DOI | https://doi.org/10.1016/j.physd.2004.12.001 |
Keywords | Skyrmions, Solitons, Vibrations, Scattering. |
Publisher URL | http://www.maths.dur.ac.uk/~dma0bmp/RAE/2007/PhysicaD_201.pdf |
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