Coexistence of quantum and classical flows in quantum turbulence in the $T=0$ limit

Abstract

Tangles of quantized vortex line of initial density $\mathcal{L}(0)\sim 6\times 10^3$\,cm${}^{-2}$ and variable amplitude of fluctuations of flow velocity $U(0)$ at the largest length scale were generated in superfluid ${}^4$He at $T=0.17$\,K, and their free decay $\mathcal{L}(t)$ was measured. If $U(0)$ is small, the excess random component of vortex line length firstly decays as $\mathcal{L}\propto t^{-1}$ until it becomes comparable with the structured component responsible for the classical velocity field, and the decay changes to $\mathcal{L}\propto t^{-3/2}$. The latter regime always ultimately prevails, provided the classical description of $U$ holds. A quantitative model of coexisting cascades of quantum and classical energies describes all regimes of the decay.

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• Domain-area distribution anomaly in segregating multicomponent superfluids
• Turbulent relaxation after a quench in the Heisenberg model
• Theory of energy spectra in superfluid He-4 counterflow turbulence
• Vinen's latest thoughts on the "bump'' puzzle in decaying He II counterflow turbulence
• Dissipation and Decay of Three Dimensional Holographic Quantum Turbulence
• Modelling turbulent flow of superfluid ${}^4$He past a rough solid wall in the $T=0$ limit