Scanning Superfluid-Turbulence Cascade by Its Low-Temperature Cutoff

Abstract

On the basis of recently proposed scenario of the transformation of the Kolmogorov cascade into the Kelvin-wave cascade, we develop a theory of low-temperature cutoff. The theory predicts a specific behavior of the quantized vortex line density, $L$, controlled by the frictional coefficient, $\alpha (T)\ll 1$, responsible for the cutoff. The curve $\ln L(\ln \alpha )$ is found to directly reflect the structure of the cascade, revealing four qualitatively distinct wavenumber regions. Excellent agreement with recent experiment by Walmsley {\it et al.} [arXiv:0710.1033]--in which $L(T)$ has been measured down to $T\sim 0.08$K--implies that the scenario of low-temperature superfluid turbulence is now experimentally validated, and allows to quantify the Kelvin-wave cascade spectrum.

4 pages, 2 figures, v2: extended introduction, the controversy with the scenario by L'vov et al. [13] is discussed in conclusion

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• Energy Spectra of Quantum Turbulence: Large-scale Simulation and Modeling
• Excimers He2* as Tracers of Quantum Turbulence in 4He in the T=0 Limit
• Dynamics of quantum turbulence of different spectra
• Dissipation of Quasiclassical Turbulence in Superfluid ${}^4$He
• Vortex motion quantifies strong dissipation in a holographic superfluid
• Quantum Dynamics of a Bose Superfluid Vortex
• Geometric Symmetries in Superfluid Vortex Dynamics
• Coexistence of quantum and classical flows in quantum turbulence in the $T=0$ limit
• Decay of turbulence generated by spin-down to rest in superfluid 4He
• Quantum turbulence in superfluids with wall-clamped normal component
• Quasiparticle scattering measurements of laminar and turbulent vortex flow in the spin-down of superfluid 3He-B
• Temperature suppression of Kelvin-wave turbulence in superfluids
• Kelvin waves in nonequilibrium universal dynamics of relativistic scalar field theories