# Observation of gravity-capillary wave turbulence

**E. Falcon**^{1}, C. Laroche^{1} and S.
Fauve^{2}

^{1} Labo. Physique, ENS Lyon, UMR
5972 CNRS, 46 allée d'Italie, 69007 Lyon, France

^{2} LPS, ENS Paris, UMR 8550 CNRS, 24 rue Lhomond, 75 005
Paris, France

### Reference:

Physical
Review
Letters
98, 094503 (2007)

**Abstract:**

#### We report the observation of the cross-over between
gravity and capillary wave turbulence on the surface of mercury. The
probability density functions of the turbulent wave height are found to
be asymmetric and thus non Gaussian. The surface wave height displays
power-law spectra in both regimes. In the capillary region, the
exponent is in fair agreement with weak turbulence theory. In the
gravity region, it depends on the forcing parameters. This can be
related to the finite size of the container. In addition, the scaling
of those spectra with the mean energy flux is found in disagreement
with weak turbulence theory for both regimes.

**Keywords :** wave turbulence – surface wave - gravity
waves – capillary waves – Kolmogorov type spectrum – experiment –
probability density function - fluctuations - Non Gaussian statistics -
energy flux
- injected power - weak turbulence

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