Vortex waves and the onset of turbulence in $^3$He-B

K. L. Henderson; C. F. Barenghi

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arXiv · cond-mat/0401212

Vortex waves and the onset of turbulence in $^3$He-B

K. L. Henderson·C. F. Barenghi

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Abstract

In a recent experiment Finne et al. discovered an intrinsic condition for the onset of quantum turbulence in $^3$He-B, that q=alpha/(1-alpha')<1, where alpha and alpha' are mutual friction parameters. The authors argued that this condition corresponds to Kelvin waves which are marginally damped, so for q>1 Kelvin waves cannot grow in amplitude and trigger vortex reconnections and turbulence. By analysing both axisymmetric and non-axisymmetric modes of oscillations of a rotating superfluid, we confirm that in the long axial wavelength limit the simple condition q=1 is indeed the crossover between damped and propagating Kelvin waves.

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K. L. Henderson, C. F. Barenghi. 2004-01-13. Vortex waves and the onset of turbulence in $^3$He-B. https://arxiv.org/abs/cond-mat/0401212

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