Gradual eddy-wave crossover in superfluid turbulence

TL;DR

This paper revises superfluid turbulence theory near absolute zero, proposing a model with differential energy flux approximation that predicts a smooth crossover in energy spectra between hydrodynamic and Kelvin wave regimes.

Contribution

It introduces a new model with differential approximation for energy fluxes, capturing the crossover between hydrodynamic and Kelvin wave regimes in superfluid turbulence.

Findings

Predicts energy spectra for both hydrodynamic and Kelvin wave components.

Shows a smooth crossover between different motion regimes over a finite scale range.

Provides a revised theoretical framework for superfluid turbulence near zero temperature.

Abstract

We revise the theory of superfluid turbulence near the absolute zero of temperature and suggest a model with differential approximation for the energy fluxes in the k-space carried by the collective hydrodynamic motions of quantized vortex lines and by their individual uncorrelated motions known as Kelvin waves. The model predicts energy spectra of the hydrodynamic and the Kelvin waves components of the system, which experience a smooth crossover between different regimes of motion over a finite range of scales.