Vortex density fluctuations in quantum turbulence

Andrew W. Baggaley, Carlo F. Barenghi

Published 2011-03-31, updated 2011-08-04Version 4

We compute the frequency spectrum of turbulent superfluid vortex density fluctuations and obtain the same Kolmogorov scaling which has been observed in a recent experiment in Helium-4. We show that the scaling can be interpreted in terms of the spectrum of reconnecting material lines. The calculation is performed using a vortex tree algorithm which considerably speeds up the evaluation of Biot-Savart integrals.