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Physical Review Letters

Vortex-Ring Creation by Negative Ions in Dilute Mixtures of He3 - He4

George W. Rayfield

Published Jun 24, 1968• 51 citations
Publisher

Abstract

We describe an experiment which indicates that the addition of ${\mathrm{He}}^{3}$ impurities to superfluid helium has a pronounced effect on the velocity at which negative ions produce vorticity (vortex rings). The ${\mathrm{He}}^{3}$ impurities have no effect, however, on the creation of vorticity by positive ions.

DOI
10.1103/physrevlett.20.1467

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Physical Review Letters•Apr 19, 1971•42 citations
We describe an experiment which indicates that the addition of He3{\mathrm{He}}^{3}He3 impurities to superfluid helium has a pronounced effect on the velocity at which negative ions produce vorticity (vortex rings). The He3{\mathrm{He}}^{3}He3 impurities have no effect, however, on the creation of vorticity by positive ions.
Measurements of the positive-ion velocity as a function of electric field in dilute solutions of 3He^{3}\mathrm{He}3He in 4He^{4}\mathrm{He}4He at 18 mK show a discontinuity which suggests the existence of two kinds of vortex rings in addition to the bare ion. The assignment of circulation quantum numbers is discussed.
The lifetimes of both positive and negative ions trapped on quantized vortex lines in rotating 3He^{3}\mathrm{He}3He-4He^{4}\mathrm{He}4He mixtures have been measured at temperatures down to 0.1 K. Evidence is found that the 3He^{3}\mathrm{He}3He condenses at the vortex core, and possibly at the surface of the electron bubble.
Measurements of the velocity of charge carriers in several dilute solutions of 3He^{3}\mathrm{He}3He in 4He^{4}\mathrm{He}4He in the temperature range 0.017-1.0 K are reported. The low-field negative-ion mobility shows a ${T}^{\ensuremath{-}\frac{1}{2}}$ dependence below 0.08 K characteristic of hard-sphere scattering. A maximum is observed in the mobility in the vicinity of 0.4 K. This can be interpreted in terms of a 3He^{3}\mathrm{He}3He condensation on the bubble surface. The positive-ion mobility is nearly temperature independent below 0.7 K. This has recently been interpreted in terms of a momentum-dependent polarization scattering. The field dependence of the positive-carrier velocity shows a discontinuity in the vortex-ring regime. The discontinuity can be shown to result from a size-dependent drag coefficient and a maximum is observed for very small rings (\ensuremath{\sim}16 \AA{}).
We have produced and observed quantized vortex rings emitted from orifices when superfluid helium is forced through channels at critical velocity. The vortices are identified by measuring their velocity and size, and are found to be in the n=1n=1n=1 quantum state.