Comment on “Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in theT=0superfluid turbulence”

Kelvin-wave turbulence in superfluids

Kelvin-wave cascade and decay of superfluid turbulence.

Kelvin waves (kelvons), the distortion waves on vortex lines, play a key part in the relaxation of superfluid turbulence at low temperatures. We present a weak-turbulence theory of kelvons. We show that nontrivial kinetics arises only beyond the local-induction approximation and is governed by three-kelvon collisions; a corresponding kinetic equation is derived. We prove the existence of Kolmog...

Scale-separation scheme for simulating superfluid turbulence: Kelvin-wave cascade.

A Kolmogorov-type cascade of Kelvin waves-the distortion waves on vortex lines-plays a key part in the relaxation of superfluid turbulence at low temperatures. We propose an efficient numeric scheme for simulating the Kelvin-wave cascade on a single vortex line. This idea is likely to be generalizable for a full-scale simulation of different regimes of superfluid turbulence. With the new scheme...

Differential approximation for Kelvin-wave turbulence

I present a nonlinear differential equation model for the spectrum of Kelvin waves on a thin vortex filament. This model preserves the original scaling of the six-wave kinetic equation, its direct and inverse cascade solutions, as well as the thermodynamic equilibrium spectra. 1 Kelvulence: cascades and spectra. Kelvin waves propagating on a thin vortex filament were proposed by Svistunov to be...

Kelvin-wave turbulence generated by vortex reconnections

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 turbulen...