Space-Time-Resolved Capillary Wave Turbulence

M. Berhanu & E. Falcon
Univ Paris Diderot, Sorbonne Cité, MSC, CNRS, UMR 7057, F-75 013 Paris, France, EU

Reference:  Physical Review E 87, 033003 (2013)

DOI: 10.1103/PhysRevE.87.033003


We report experiments on the full space- and time-resolved statistics of capillary wave turbulence at the air-water interface. The three-dimensional shape of the free interface is measured as a function of time by using the optical method of diffusing light photography associated with a fast camera. Linear and nonlinear dispersion relations are extracted from the spatiotemporal power spectrum of wave amplitude. When wave turbulence regime is reached, we observe power-law spectra both in frequency and in wave number whose exponents are found to agree with the predictions of capillary wave turbulence theory. Finally, the temporal dynamics of the spatial energy spectrum highlight the occurrence of stochastic bursts transferring wave energy through the spatial scales.

PACS : 47.35.-i   Hydrodynamic waves
             05.45.-a  Nonlinear dynamics and chaos
            47.52.+j   Chaos in fluid dynamics
            47.27.-i    Turbulent flows

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