Vortex interaction on curved surfaces
Statistical Mechanics
2012-11-20 v1
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.
Keywords
Cite
@article{arxiv.1211.4201,
title = {Vortex interaction on curved surfaces},
author = {Seung Ki Baek},
journal= {arXiv preprint arXiv:1211.4201},
year = {2012}
}
Comments
19 pages; 6 figures