Superfluid vortex dynamics on planar sectors and cones
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Cita com:
hdl:2117/174261
Tipus de documentArticle
Data publicació2019-06-07
EditorAmerican Physical Society (APS)
Condicions d'accésAccés obert
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Abstract
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 directly the interaction energy of two vortices on the cone. We then study the vortex dynamics on unbounded and bounded cones. In suitable limits, we recover the known results for dynamics on cylinders and planar annuli.
CitacióMassignan, P.; Fetter, A. Superfluid vortex dynamics on planar sectors and cones. "Physical review A", 7 Juny 2019, vol. 99, núm. 6, p. 063602-1-063602-9.
ISSN2469-9926
Versió de l'editorhttps://journals.aps.org/pra/abstract/10.1103/PhysRevA.99.063602
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