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.

References in corpus (7)

• Bottleneck crossover between classical and quantum superfluid turbulence
• Quantum and quasiclassical types of superfluid turbulence
• Spectral imbalance and the normalized dissipation rate of turbulence
• Scanning Superfluid-Turbulence Cascade by Its Low-Temperature Cutoff
• Kelvin waves and the decay of quantum superfluid turbulence
• Rotating quantum turbulence in superfluid 4He in the T=0 limit
• A note on the propagation of quantized vortex rings through a quantum turbulence tangle: Energy transport or energy dissipation?

Cited by in corpus (5)

• Rotating quantum wave turbulence
• Damping of a micro-electromechanical oscillator in turbulent superfluid ${}^4$He: A novel probe of quantized vorticity in the ultra-low temperature regime
• Dissipation and Decay of Three Dimensional Holographic Quantum Turbulence
• Vinen's latest thoughts on the "bump'' puzzle in decaying He II counterflow turbulence
• Modelling turbulent flow of superfluid ${}^4$He past a rough solid wall in the $T=0$ limit