Abstract
Superfluid films adsorbed on a cylindrical surface are studied. The superfluid density is calculated using a modification of the Kosterlitz-Thouless theory. There is no vortex unbinding transition because the vortex interaction is linear on long length scales. Thus the superfluid areal density, defined in terms of the real part of a response function, is nonzero for all T<Tλ. The superfluid density is anisotropic, differing for axial and azimuthal flows. Dissipation due to vortex motion is considered. The periodicity of the substrate leads to a zero frequency dissipation mechanism for flows in the axial direction.
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