Superfluid vortex dynamics on planar sectors and cones

  title={Superfluid vortex dynamics on planar sectors and cones},
  author={Pietro Massignan and Alexander L. Fetter},
  journal={Physical Review A},
We study the dynamics of vortices formed in a superfluid film adsorbed on the curved two-dimensional surface of a cone. To this aim, we observe that a cone can be unrolled to a sector on a plane with periodic boundary conditions on the straight sides. The sector can then be mapped conformally to the whole plane, leading to the relevant stream function. In this way, we show that a superfluid vortex on the cone precesses uniformly at fixed distance from the apex. The stream function also yields… 
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