Scattering of Topological Solitons on Holes and Barriers

Piette, B.; Zakrzewski, W.J.; Brand, J.

Abstract

We study the scattering properties of topological solitons on obstructions in the form of holes and barriers. We use the 'new baby Skyrme' model in (2 + 1) dimensions and we model the obstructions by making the coefficient of the baby Skyrme model potential–position dependent. We find that the barrier leads to the repulsion of the solitons (for low velocities) or their complete transmission (at higher velocities) with the process being essentially elastic. The hole case is different; for small velocities the solitons are trapped while at higher velocities they are transmitted with a loss of energy. We present some comments explaining the observed behaviour.

Citation

Piette, B., Zakrzewski, W., & Brand, J. (2005). Scattering of Topological Solitons on Holes and Barriers. Journal of Physics A: Mathematical and General, 38(38), 10403-10412. https://doi.org/10.1088/0305-4470/38/48/011

• Journal Article Type: Article
• Publication Date: 2005-12
• Journal: Journal of Physics A: Mathematical and General
• Print ISSN: 0305-4470
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 38
• Issue: 38
• Pages: 10403-10412
• DOI: https://doi.org/10.1088/0305-4470/38/48/011