Observation of nonlinear dispersion relation and spatial statistics of wave turbulence on the surface of a fluid
Abstract
We report experiments on gravity-capillary wave turbulence on the surface of a fluid. The wave amplitudes are measured simultaneously in time and space using an optical method. The full space-time power spectrum shows that the wave energy is localized on several branches in the wave-vector-frequency space. The number of branches depend on the power injected within the waves. The measurement of the nonlinear dispersion relation is found to be well described by a law suggesting that the energy transfer mechanisms involved in wave turbulence are not only restricted to purely resonant interaction between nonlinear waves. The power-law scaling of the spatial spectrum and the probability distribution of the wave amplitudes at a given wave number are also measured and compared to the theoretical predictions.
Keywords
Cite
@article{arxiv.1005.2000,
title = {Observation of nonlinear dispersion relation and spatial statistics of wave turbulence on the surface of a fluid},
author = {Eric Herbert and Nicolas Mordant and Eric Falcon},
journal= {arXiv preprint arXiv:1005.2000},
year = {2010}
}
Comments
accepted to Phys. Rev. Lett.