Hydrodynamics of superfluids confined in blocked rings and wedges

Details Hydrodynamics of superfluids confined in blocked rings and wedges Hydrodynamics of superfluids confined in blocked rings and wedges

2008-12-16

arxiv.org/abs/0812.3112v1

Physics

Condensed Matter

Other Condensed Matter

15 pages, including figures. To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.79.016303

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.

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