English

Observation of wave turbulence in vibrating plates

Chaotic Dynamics 2008-10-07 v1 Statistical Mechanics Classical Physics

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{\"u}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.

Keywords

Cite

@article{arxiv.0810.0891,
  title  = {Observation of wave turbulence in vibrating plates},
  author = {Arezki Boudaoud and Olivier Cadot and Benoît Odille and Cyril Touzé},
  journal= {arXiv preprint arXiv:0810.0891},
  year   = {2008}
}
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