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Hydrodynamics of compressible superfluids in confined geometries

Malmi-Kakkada, Abdul N and Valls, Oriol T and Dasgupta, Chandan (2014) Hydrodynamics of compressible superfluids in confined geometries. In: JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 47 (5).

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Official URL: http://dx.doi.org/10.1088/0953-4075/47/5/055301


We present a study of the hydrodynamics of compressible superfluids in confined geometries. We use a perturbative procedure in terms of the dimensionless expansion parameter (v/v(s))(2) where v is the typical speed of the flow and vs is the speed of sound. A zero value of this parameter corresponds to the incompressible limit. We apply the procedure to two specific problems: the case of a trapped superfluid with a Gaussian profile of the local density, and that of a superfluid confined in a rotating obstructed cylinder. We find that the corrections due to finite compressibility which are, as expected, negligible for liquid He, are important but amenable to the perturbative treatment for typical ultracold atomic systems.

Item Type: Journal Article
Additional Information: copyright for this article belongs to IOP PUBLISHING LTD, ENGLAND
Keywords: superfluids; hydrodynamics; cold atomic systems; complex geometries
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Depositing User: Id for Latest eprints
Date Deposited: 08 Apr 2014 06:30
Last Modified: 08 Apr 2014 06:30
URI: http://eprints.iisc.ac.in/id/eprint/48823

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