Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2008-10-06
Physical Review Letters 100, 23 (2008) 234504
Nonlinear Sciences
Chaotic Dynamics
Scientific paper
10.1103/PhysRevLett.100.234504
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.
Boudaoud Arezki
Cadot Olivier
Odille Benoît
Touzé Cyril
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