The Behavior of a Quantized Vortex in a Drop and on a Sphere

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Superfluid

Scientific paper

We have investigated the behavior of a single quantized vortex line in a spherical drop of liquid helium at temperatures below the lambda transition and the behavior of a system of quantized point vortices contained in a two dimensional fluid on a surface of a sphere. The results of this investigation show that it is possible to contain a vortex segment in a spherical drop of liquid helium by rotating the drop and that there is a critical angular momentum below which the drop cannot support the existence of the vortex. The distortion of the spherical surface due to a vortex on the drop axis has been determined and by modifying the effective surface tension, it may be possible to bring this distortion to a size which may be optically detectable. The related system of point vortices on the surface of sphere shows interesting dynamical behavior. Finite vortex arrays distributed on the sphere behave similarly to vortex arrays in other systems. With the addition of damping, rotational behavior similar to that of pulsars is seen.

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