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arXiv · 0810.0891

Observation of wave turbulence in vibrating plates

Arezki Boudaoud·Olivier Cadot·Benoît Odille·Cyril Touzé
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Abstract

The nonlinear interaction of waves in a driven medium may lead to wave turbulence, a state such that energy is transferred from large to small lengthscales. Here, wave turbulence is observed in experiments on a vibrating plate. The frequency power spectra of the normal velocity of the plate may be rescaled on a single curve, with power-law behaviors that are incompatible with the weak turbulence theory of D{ü}ring et al. [Phys. Rev. Lett. 97, 025503 (2006)]. Alternative scenarios are suggested to account for this discrepancy -- in particular the occurrence of wave breaking at high frequencies. Finally, the statistics of velocity increments do not display an intermittent behavior.

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Arezki Boudaoud, Olivier Cadot, Benoît Odille, Cyril Touzé. 2008-10-06. Observation of wave turbulence in vibrating plates. https://doi.org/10.1103/physrevlett.100.234504

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