Hydrodynamics of superfluids confined in blocked rings and wedges

Dasgupta, Chandan ; Valls, Oriol T. (2009) Hydrodynamics of superfluids confined in blocked rings and wedges Physical Review E, 79 (1). 016303_1-016303_13. ISSN 1063-651X

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Official URL: http://pre.aps.org/abstract/PRE/v79/i1/e016303

Related URL: http://dx.doi.org/10.1103/PhysRevE.79.016303


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 β, with 0≤β≤2∏. The case β=2π 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 β>π, 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 4He are discussed. A number of mathematical issues are pointed out and resolved.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:22758
Deposited On:24 Nov 2010 08:10
Last Modified:17 May 2016 06:43

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