Kelvin-wave turbulence generated by vortex reconnections

Abstract

Reconnections of quantum vortex filaments create sharp bends which degenerate into propagating Kelvin waves. These waves cascade their energy down-scale and their waveaction up-scale via weakly nonlinear interactions, and this is the main mechanism of turbulence at the scales less than the inter-vortex distance. In case of an idealised forcing concentrated around a single scale k0, the turbulence spectrum exponent has a pure direct cascade form -17/5 at scales k>k0 and a pure inverse cascade form -3 at k<k0. However, forcing produced by the reconnections contains a broad range of Fourier modes. What scaling should one expect in this case? In this Letter I obtain an answer to this question using the differential model for the Kelvin wave turbulence. The main result is that the direct cascade scaling dominates, i.e. the reconnection forcing is more or less equivalent to a low-frequency forcing.

To be submitted to JETP Letters

References in corpus (1)

• Energy Spectra of Developed Turbulencein Helium Superfluids

Cited by in corpus (10)

• Observation of an Inverse Energy Cascade in Developed Acoustic Turbulence in Superfluid Helium
• Finite temperature vortex dynamics in Bose Einstein condensates
• The interaction of Kelvin waves and the non-locality of the energy transfer in superfluids
• (Non)-universality of vortex reconnections in superfluids
• Gradual eddy-wave crossover in superfluid turbulence
• Sustained turbulence in the three-dimensional Gross-Pitaevskii model
• Reconnections of quantized vortex rings in superfluid ${}^4$He at very low temperatures
• Coexistence of quantum and classical flows in quantum turbulence in the $T=0$ limit
• Vortex length, vortex energy and fractal dimension of superfluid turbulence at very low temperature
• Kelvin waves from vortex reconnection in superfluid helium at low temperatures