Vortex-density fluctuations in quantum turbulence
AW Baggaley, CF Barenghi - Physical Review B—Condensed Matter and …, 2011 - APS
Physical Review B—Condensed Matter and Materials Physics, 2011•APS
Turbulence in the low-temperature phase of liquid helium is a complex state in which a
viscous normal fluid interacts with an inviscid superfluid. In the former vorticity consists of
eddies of all sizes and strengths; in the latter vorticity is constrained to quantized vortex
lines. We compute the frequency spectrum of superfluid vortex density fluctuations and
obtain the same f− 5/3 scaling that has been recently observed. We show that the scaling
can be interpreted in terms of the spectrum of reconnecting material lines. To perform this …
viscous normal fluid interacts with an inviscid superfluid. In the former vorticity consists of
eddies of all sizes and strengths; in the latter vorticity is constrained to quantized vortex
lines. We compute the frequency spectrum of superfluid vortex density fluctuations and
obtain the same f− 5/3 scaling that has been recently observed. We show that the scaling
can be interpreted in terms of the spectrum of reconnecting material lines. To perform this …
Turbulence in the low-temperature phase of liquid helium is a complex state in which a viscous normal fluid interacts with an inviscid superfluid. In the former vorticity consists of eddies of all sizes and strengths; in the latter vorticity is constrained to quantized vortex lines. We compute the frequency spectrum of superfluid vortex density fluctuations and obtain the same scaling that has been recently observed. We show that the scaling can be interpreted in terms of the spectrum of reconnecting material lines. To perform this calculation we have developed a vortex tree algorithm which considerably speeds up the evaluation of Biot-Savart integrals.
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