Statistics of Quantum Turbulence in Superfluid He
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Based on our current understanding of statistics of quantum turbulence as well as on results of intensive ongoing analytical, numerical and experimental studies, we overview here the following problems in the large-scale, space-homogeneous, steady-state turbulence of superfluid \(^4\)He and \(^3\)He: (1) energy spectra of normal and superfluid velocity components; (2) cross-correlation function of normal and superfluid velocities; (3) energy dissipation by mutual friction and viscosity; (4) energy exchange between normal and superfluid components; (5) high-order statistics and intermittency effects. The statistical properties are discussed for turbulence in different types of flows: coflow of \(^4\)He; turbulent \(^3\)He with the laminar normal fluid; pure superflow and counterflow in \(^4\)He.
KeywordsEnergy spectra Intermittency Velocity decoupling
We acknowledge L. Skrbek, E. Varga, W. Guo and J. Gao who provided us with their experimental results prior to publications and allowed to use them in preparing this review. Useful discussion with them and with J. Vinen, I. Procaccia, S. Nazarenko, G. Volovik, C. Barenghi, P-E Roche and other colleagues made this review possible.
- 1.R.P. Feynman, in Progress in Low Temperature Physics, vol. 1, Chap. 2, ed. C.J. Gorter (North-Holland, Amsterdam, 1955), pp. 17–53Google Scholar
- 2.W.F. Vinen, Mutual Friction in a Heat Current in Liquid Helium II. I. Experiments on Steady Heat Currents Proceedings of Royal Society A 240, 114–128 (1957);ibid emphMutual Friction in a Heat Current in Liquid Helium II. III. Theory of the Mutual Friction, 242, 489 (1957)Google Scholar
- 11.S. Babuin, V.S. L’vov, A. Pomyalov, L. Skrbek, E. Varga, Coexistence and interplay of quantum and classical turbulence of superfluid He-4: decay, velocity decoupling and counterflow energy spectra. Phys. Rev. B (2016, in press)Google Scholar
- 13.J. Gao, E. Varga, W. Guo, W.F. Vinen, Statistical measurement of counterflow turbulence in superfluid Helium-4 using He-II tracer-line tracking technique. J. Low Temp. Phys. doi: 10.1007/s10909-016-1681-y
- 15.J. Gao, W. Guo, V.S. L’vov, A. Pomyalov, Statistical analysis of the counterflow visualization data, unpublishedGoogle Scholar
- 20.H.E. Hall, W.F. Vinen, in Proceedings of the Royal Society A. The Rotation of Liquid Helium II. I. Experiments on the Propagation of Second Sound in Uniformly Rotating Helium II, 238, 204 (1956)Google Scholar
- 21.I.L. Bekarevich, I.M. Khalatnikov, Phenomenological derivation of the equations of vortex motion in He II. Sov. Phys. JETP 13, 643 (1961)Google Scholar