Non stationary wave turbulence in an elastic plate

Details Non stationary wave turbulence in an elastic plate Non stationary wave turbulence in an elastic plate

2011-07-12

arxiv.org/abs/1107.2237v1

Nonlinear Sciences

Chaotic Dynamics

in press for Physical Review Letters

Scientific paper

We report experimental results on the decay of wave turbulence in an elastic plate obtained by stopping the forcing from a stationary turbulent state. In the stationary case, the forcing is seen to induce some anisotropy and a spectrum in disagreement with the weak turbulence theory. After stopping the forcing, almost perfect isotropy is restored. The decay of energy is self similar and the observed decaying spectrum is in better agreement with the prediction of the weak turbulence theory. The dissipative part of the spectrum is partially consistent with the theoretical prediction based on previous work by Kolmakov. This suggest that the non agreement with the weak turbulence theory is mostly due to a spurious effect of the forcing related to the finite size of the system.

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