Abstract
The theory of vortex motion in a dilute superfluid of inhomogeneous density\ndemands a boundary layer approach, in which different approximation schemes are\nemployed close to and far from the vortex, and their results matched smoothly\ntogether. The most difficult part of this procedure is the hydrodynamic problem\nof the velocity field many healing lengths away from the vortex core. This\npaper derives and exploits an exact solution of this problem in the\ntwo-dimensional case of a linear trapping potential, which is an idealization\nof the surface region of a large condensate. It thereby shows that vortices in\ninhomogeneous clouds are effectively 'dressed' by a non-trivial distortion of\ntheir flow fields; that image vortices are not relevant to Thomas-Fermi\nsurfaces; and that for condensates large compared to their surface depths, the\nenergetic barrier to vortex penetration disappears at the Landau critical\nvelocity for surface modes.\n
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Publication Info
- Year
- 2002
- Type
- article
- Volume
- 65
- Issue
- 6
- Citations
- 49
- Access
- Closed
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Identifiers
- DOI
- 10.1103/physreva.65.063611