# Experimental study of the inverse cascade in gravity wave
turbulence

**L. Deike, C. Laroche & E. Falcon **

Univ Paris Diderot, Sorbonne Cité, MSC,
CNRS, UMR 7057, F-75 013 Paris, France, EU

### Reference:

**Abstract: **

We perform
experiments to study the inverse cascade regime of gravity wave
turbulence on the surface of a fluid. Surface waves are forced
at an intermediate scale corresponding to the gravity-capillary
wavelength. In response to this forcing, waves at larger scales
are observed. The spectrum of their amplitudes exhibits a
frequency-power law at high enough forcing. Both observations
are ascribed to the upscale wave action transfers of gravity
wave turbulence. The spectrum exponent is close to the value
predicted by the weak turbulence theory. The spectrum amplitude
is found to scale linearly with the mean injected power. We
measure also the distributions of the injected power
fluctuations in the presence of upscale (inverse) transfers or
in the presence of a downscale (direct) cascade in gravity wave
turbulence.

PACS : 47.35.-i
- Hydrodynamic waves

05.45.-a - Nonlinear dynamics and chaos

47.27.-i - Turbulent flows

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