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Search for an Experimental Signature of Quantum Turbulence in Velocity Spectra

Julien Salort, Francesca Chillà, E. Rusaouën, P.-E. Roche, Mathieu Gibert, I. Moukharski, Alan Braslau, François Daviaud, Basile Gallet, Ewe-Wei Saw, B. Dubrulle, Pantxo Diribarne, B. Rousset, Michel Bon-Mardion, Jean-Paul Moro, Girard, Alain, C. Baudet, Victor S. L’vov, Andrei I. Golov, Sergey Nazarenko

Published Feb 5, 2021• 0 citations
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Superfluid Turbulence is unusual and presents a challenge to fluid dynamicists because it consists of two coupled, inter penetrating turbulent fluids: the first is inviscid with quantised vorticity, the second is viscous with continuous vorticity. Despite this double nature, the observed spectra of the superfluid turbulent velocity at sufficiently large length scales are similar to those o ordinary turbulence. We present experimental, numerical and theoretical results which explain these similarities, and illustrate the limits of our present understanding of superfluid turbulence at smaller scales.
The title of the paper coincides with the title of a paragraph in the famous book by U. Frisch (1995)on classical turbulence. In this paragraph the author discussed the role of statistical dynamics of vortex filaments in the theory of turbulence and put the above question. In other words, whether the main properties of turbulence (cascade, scaling laws) are the sequence of the vortex line dynamics or the latter have only marginal signature. Quantum fluids, where the vortex filaments are the real objects, give an excellent opportunity to explore the role of discrete vortices in turbulent phenomena. The aim of this paper is to discuss which elements of vortex dynamics would lead to the main ingredients of the theory of turbulence. We discuss how the nonlinear dynamics of vortex filaments can result in an exchange of energy between different scales, the formation of the Kolmogorov-type energy spectra and the decay of turbulence.