Elastic wave-turbulence and intermittency
arXiv:1511.03176 · doi:10.1103/PhysRevE.94.011101
Abstract
Weak Wave Turbulence is a powerful theory to predict statistical observables of diverse relevant physical phenomena, such as ocean waves, magnetohydrodynamics and nonlinear optics. The theory is based upon an asymptotic closure permitted in the limit of small nonlinearity. Here, we explore the possible deviations from this mean-field framework, in terms of anomalous scaling, focusing on the case of elastic plates. We establish the picture of the possible behaviors at varying the extent of nonlinearity, and we show that the mean-field theory is appropriate when all excited scales remain dominated by linear dynamics. The other picture is non-trivial and our results suggest that, when large scales contain much energy, the cascade sustains extreme events at small scales and the system displays intermittency.
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- Direct Evidence of a Dual Cascade in Gravitational Wave Turbulence
- Feynman rules for forced wave turbulence
- A Kolmogorov spectrum for strongly vibrating plates
- Intermittency and emergence of coherent structures in wave turbulence of a vibrating plate
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- An exact result in strong wave turbulence of thin elastic plates
- Wrapping and unwrapping multifractal fields
- Integrated analysis of energy transfers in elastic-wave turbulence
- Generation of intermittent gravitocapillary waves via parametric forcing