Spectrum of turbulent Kelvin-waves cascade in superfluid helium

TL;DR

This paper investigates the Kelvin-waves cascade in superfluid helium through numerical simulations, analyzing vortex filament interactions, curvature, amplitude spectrum, and fractal dimension to understand turbulence decay.

Contribution

It provides the first detailed numerical analysis of Kelvin-waves cascade, comparing amplitude spectrum results with existing theories.

Findings

Kelvin-waves cascade develops in vortex filament interactions

Amplitude spectrum aligns with certain theoretical models

Fractal dimension analysis offers insights into vortex complexity

Abstract

To explain the observed decay of superfluid turbulence at very low temperature, it has been proposed that a cascade of Kelvin waves (analogous to the classical Kolmogorov cascade) transfers kinetic energy to length scales which are small enough that sound can be radiated away. We report results of numerical simulations of the interaction of quantized vortex filaments. We observe the development of the Kelvin-waves cascade, and compute the statistics of the curvature, the amplitude spectrum (which we compare with competing theories) and the fractal dimension.