title: Vortex interaction on curved surfaces.
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.
authors.affiliation: School of Physics, Korea Institute for Advanced Study, Seoul 130-722, Korea. seungki@kias.re.kr
authors.forename: Seung Ki
authors.initials: SK
authors.lastname: Baek
mesh_terms: D003198:Computer Simulation; D008962:Models, Theoretical; D012212:Rheology / Q000379:methods*