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arXiv · 1211.4201

Vortex interaction on curved surfaces

Seung Ki Baek
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Abstract

The vortex-excitation energy on a sphere can be obtained by using the stereographic projection. By applying this method, we calculate the energy needed to create a vortex on a surface with a constant negative curvature. It is found that the energy is a linear function of the radius of the vortex. In accordance with this result, the interaction energy between a pair of vortices is also found to change linearly with the vortex separation distance. Explicit vortex configurations are obtained numerically with this interaction.

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Seung Ki Baek. 2012-11-18. Vortex interaction on curved surfaces. https://doi.org/10.1103/physreve.86.056603

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