Wave turbulence concerns the dynamical and statistical properties of an ensemble of weakly interacting nonlinear waves.
This concept has been used to describe energy or wave-action transfers in a great variety of both classical and quantum systems at very different scales: surface or internal waves of the ocean, Alfven waves in the solar wind and other plasmas, radar waves in the ionosphere, spin waves in solids, transport of carriers in semiconductor lasers, etc.
A lot of data obtained by remote sensing of the atmosphere or the ocean as well as satellite measurements in astrophysics, have been analyzed using the framework of wave turbulence. Surprisingly, only a few groups have performed laboratory experiments on this subject.
We study nonlinear interaction s of gravity-capillary waves generated on the surface of a fluid by low frequency random vibrations of wave-makers. Our recent measurements have displayed strong fluctuations of the power injected by the wave-makers into the fluid. We show that this implies fluctuations of the energy flux at all scales from injection to viscous dissipation within the Kolmogorov cascade.
The project consists of using acoustic sensing of the fluid surface in order to perform direct measurements of these fluctuations in Fourier space. This technique will give access to the study of correlations of the energy flux at different scales and of the statitical properties of its fluctuations.
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