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Physical Review

Interaction of Quantized Vortex Rings with Quantized Vortex Lines in Rotating He II

Klaus W. Schwarz

Published Jan 5, 1968• 47 citations
Publisher

Abstract

The effect of steady rotation on a beam of charged vortex rings in He II has been investigated. The rotation-dependent changes in the beam are interpreted in terms of strong ring-line interactions experienced by a fraction of the rings, plus collective effects which are the same for all rings. An approximate calculation based on inviscid hydrodynamics and a uniform distribution of vortex lines yields fair agreement with the observed behavior.

DOI
10.1103/physrev.165.323

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Physical review. B, Solid state•Dec 1, 1977•36 citations
The effect of steady rotation on a beam of charged vortex rings in He II has been investigated. The rotation-dependent changes in the beam are interpreted in terms of strong ring-line interactions experienced by a fraction of the rings, plus collective effects which are the same for all rings. An approximate calculation based on inviscid hydrodynamics and a uniform distribution of vortex lines yields fair agreement with the observed behavior.
We show that an ion carried through an electric field by a quantized vortex ring in helium II will cause a symmetric change in the radius of the ring, even though the ion is located asymmetrically on the core of the vortex ring. The localized force on the ion will combine with a specific series of vortex waves to give a uniform growth of the ring with a small component of drift velocity perpendicular to the applied electric field. This type of energy transfer may also play an important role in superfluid turbulence. Our calculations should be valid for localized forces on thin-core classical vortices as well.
Abstract If the superfluid is contained in a rotating bucket, it resembles a solid-body rotation by developing an uniform array of quantized vortex lines. These can capture ions and, thus, rotating superfluid He II shows a strong anisotropy to the motion of ions. This chapter is concerned with the interaction of ions with vortex lines. The ion capture experiments and their results are described. Concepts such as capture width are discussed. A theoretical model of Brownian diffusion has been developed to understand the capture of ions by vortex lines. The competition between the attractive hydrodynamic suction and the thermal diffusion leads to an effective capture rate of ions. The effect of the pressure on the capture of an electron bubble is also discussed.