Related Experiment Video
Updated: Jul 29, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Weak turbulence for a vibrating plate: can one hear a Kolmogorov spectrum?
Gustavo Düring1, Christophe Josserand, Sergio Rica
1Departamento de Física, Universidad de Chile, Blanco Encalada 2008, Santiago, Chile.
Abstract:
We study the long-time evolution of waves of a thin elastic plate in the limit of small deformation so that modes of oscillations interact weakly. According to the theory of weak turbulence (successfully applied in the past to plasma, optics, and hydrodynamic waves), this nonlinear wave system evolves at long times with a slow transfer of energy from one mode to another. We derive a kinetic equation for the spectral transfer in terms of the second order moment. We show that such a theory describes the approach to an equilibrium wave spectrum and represents also an energy cascade, often called the Kolmogorov-Zakharov spectrum. We perform numerical simulations that confirm this scenario.
Related Concept Videos
IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations
Standing Waves in a Cavity
Fluid Pressure over Flat Plate of Constant Width
The resultant force...
Fluid Pressure over Curved Plate of Constant Width
Fluid Pressure over Flat Plate of Variable Width
The pressure distribution on the plate can be calculated by determining the force that acts on a differential area strip of the plate. Thus, the magnitude of the force is equal to the...
Steady, Laminar Flow Between Parallel Plates

