Temperature suppression of Kelvin-wave turbulence in superfluids

TL;DR

This paper investigates how finite temperature, through mutual friction, affects Kelvin-wave turbulence in superfluids, revealing a new length scale and providing analytical energy spectra for different turbulence regimes.

Contribution

It introduces a finite-temperature model of Kelvin-wave turbulence, extending previous zero-temperature theories by incorporating mutual friction effects.

Findings

Identification of a new length scale separating turbulence regimes

Analytical energy spectra for quasi-inertial and dissipation ranges

Demonstration of temperature suppression effects on Kelvin-wave turbulence

Abstract

Kelvin waves propagating on quantum vortices play a crucial role in the phenomenology of energy dissipation of superfluid turbulence. Previous theoretical studies have consistently focused on the zero-temperature limit of the statistical physics of Kelvin-wave turbulence. In this letter, we go beyond this athermal limit by introducing a small but finite temperature in the form of non-zero mutual friction dissipative force; A situation regularly encountered in actual experiments of superfluid turbulence. In this case we show that there exists a new typical length-scale separating a quasi-inertial range of Kelvin wave turbulence from a far dissipation range. The letter culminates with analytical predictions for the energy spectrum of the Kelvin-wave turbulence in both of these regimes.