Abstract
A direct numerical simulation of the interaction of plane capillary waves on the surface of a liquid dielectric in an external tangential electric field taking into account viscous forces has been performed. It has been shown that the interaction of counterpropagating nonlinear waves can generate a direct energy cascade. In the quasistationary energy dissipation regime, probability density functions for angles of inclination of the boundary tend to a Gaussian distribution and the shape of the boundary becomes complex and chaotic. The spectrum of the surface perturbations in this regime is described by a power law k−5/2. The energy spectrum has the form k−3/2, which coincides with the Iroshnikov-Kraichnan energy spectrum and indicates that the observed wave turbulence of the liquid surface and the weak magnetohydrodynamic turbulence of interacting Alfvén waves have a related nature.
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Russian Text © The Author(s), 2019, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2019, Vol. 109, No. 5, pp. 306–311.
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Kochurin, E.A. Wave Turbulence of a Liquid Surface in an External Tangential Electric Field. Jetp Lett. 109, 303–308 (2019). https://doi.org/10.1134/S0021364019050084
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DOI: https://doi.org/10.1134/S0021364019050084