Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2010-06-18
Eur. Phys. J. B Volume 76, Number 4, August II 2010 Page(s) 537 - 545
Nonlinear Sciences
Chaotic Dynamics
accepted for publication in European Physical Journal B see http://www.epj.org
Scientific paper
10.1140/epjb/e2010-00197-y
The spatio-temporal dynamics of the deformation of a vibrated plate is measured by a high speed Fourier transform profilometry technique. The space-time Fourier spectrum is analyzed. It displays a behavior consistent with the premises of the Weak Turbulence theory. A isotropic continuous spectrum of waves is excited with a non linear dispersion relation slightly shifted from the linear dispersion relation. The spectral width of the dispersion relation is also measured. The non linearity of this system is weak as expected from the theory. Finite size effects are discussed. Despite a qualitative agreement with the theory, a quantitative mismatch is observed which origin may be due to the dissipation that ultimately absorbs the energy flux of the Kolmogorov-Zakharov casade.
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