Finite temperature effects in helical quantum turbulence

TL;DR

This paper investigates how helical quantum turbulence evolves at various temperatures, revealing a transition from quantum to classical behavior and the impact of thermal effects on turbulence development.

Contribution

It provides a detailed numerical analysis of temperature-dependent effects in helical quantum turbulence using high-resolution simulations.

Findings

Near critical temperature, fluid behaves as a classical viscous flow.

Decay of kinetic energy and helicity becomes exponential at high temperatures.

Thermal effects can suppress turbulent cascade development.

Abstract

We perform a study on the evolution of helical quantum turbulence at different temperatures by solving numerically the Gross-Pitaevskii and the Stochastic Ginzburg-Landau equations, using up to $4096^3$ grid points with a pseudospectral method. We show that for temperatures close to the critical the fluid described by these equations can act as a classical viscous flow, with the decay of the incompressible kinetic energy and the helicity becoming exponential. The transition from this behavior to the one observed at zero temperature is smooth as a function of temperature. Moreover, the presence of strong thermal effects can inhibit the development of a proper turbulent cascade. We provide anzats for the effective viscosity and friction as a function of the temperature