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Hydrodynamics of superfluids confined in blocked rings and wedges

Dasgupta, Chandan and Valls, Oriol T (2009) Hydrodynamics of superfluids confined in blocked rings and wedges. In: Physical Review E, 79 (1, Par).

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Motivated by many recent experimental studies of nonclassical rotational inertia (NCRI) in superfluid and supersolid samples, we present a study of the hydrodynamics of a superfluid confined in the two-dimensional region (equivalent to a long cylinder) between two concentric arcs of radii b and a (b < a) subtending an angle beta, with 0 <=beta <= 2 pi. The case beta=2 pi corresponds to a blocked ring. We discuss the methodology to compute the NCRI effects and calculate these effects both for small angular velocities, when no vortices are present, and in the presence of a vortex. We find that, for a blocked ring, the NCRI effect is small and that therefore there will be a large discontinuity in the moment of inertia associated with blocking or unblocking circular paths. For blocked wedges (b=0) with beta>pi, we find an unexpected divergence of the velocity at the origin, which implies the presence of either a region of normal fluid or a vortex for any nonzero value of the angular velocity. Implications of our results for experiments on ``supersolid'' behavior in solid He-4 are discussed. A number of mathematical issues are pointed out and resolved.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to American Physical Society.
Keywords: hydrodynamics;superfluid helium-4;superfluidity;vortices.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Depositing User: Rajalaxmi Ashok Govanakoppa
Date Deposited: 12 Aug 2009 09:29
Last Modified: 19 Sep 2010 05:27
URI: http://eprints.iisc.ac.in/id/eprint/19170

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