University of Minnesota
School of Physics & Astronomy
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Oriol T. Valls

Hydrodynamics of superfluids confined in blocked rings and wedges
Chandan Dasgupta and Oriol T. Valls, Phys. Rev. E79, 016303 (2009)

Download from http://arxiv.org/abs/0812.3112

Abstract

Motivated by many recent experimental studies of non-classical 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 $a$ ($b \pi$, 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 {\it any} nonzero value of the angular velocity. Implications of our results for experiments on "supersolid" behavior in solid $^4{\rm He}$ are discussed. A number of mathematical issues are pointed out and resolved.