Vortex density fluctuations in quantum turbulence

Abstract

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.

7 Pages, 7 figures

References in corpus (5)

• Characterization of reconnecting vortices in superfluid helium
• Velocity Statistics Distinguish Quantum Turbulence from Classical Turbulence
• Bottleneck crossover between classical and quantum superfluid turbulence
• Cascade of vortex loops initiated by a single reconnection of quantum vortices
• Magnetic structures produced by the small-scale dynamo