Superfluid vortex dynamics on an ellipsoid and other surfaces of revolution Article Swipe
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· 2022
· Open Access
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· DOI: https://doi.org/10.1103/physreva.105.023307
· OA: W3209965411
Motivated by ongoing experimental efforts to make closed Bose-Einstein\ncondensate (BEC) shells in microgravity environments, this work studies the\nenergy and dynamics of singly quantized vortices on a thin spherical superfluid\nshell, where the overall vortex charge must vanish (as on any compact surface).\nFor each vortex, stereographic projection yields the corresponding complex\npotential on the tangent plane. The resulting stream function then provides\nboth the total energy and the dynamics of a system of overall neutral vortices\non a spherical film. Although a single vortex dipole follows a simple dynamical\norbit, four vortices can present a variety of situations. We study a few\nsymmetric initial configurations and then focus on the special case of two\nsmall vortex dipoles.\n
