Quasi-Adiabatic Decay of Capillary Turbulence on the Charged Surface of Liquid Hydrogen

Abstract

We study the free decay of capillary turbulence on the charged surface of liquid hydrogen. We find that decay begins from the high frequency end of the spectral range, while most of the energy remains localized at low frequencies. The apparent discrepancy with the self-similar theory of nonstationary wave turbulent processes is accounted for in terms of a quasi-adiabatic decay wherein fast nonlinear wave interactions redistribute energy between frequency scales in the presence of finite damping at all frequencies. Numerical calculations based on this idea agree well with experimental data.

arXiv comment4 pages, 2 figures. The final version just prior to publication

References in corpus (3)

• Freely decaying weak turbulence for sea surface gravity waves
• Non-stationary Spectra of Local Wave Turbulence
• Decay of the monochromatic capillary wave

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• Laboratory Experiments on Wave Turbulence
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• Weak turbulence theory for rotating magnetohydrodynamics and planetary dynamos
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• Wave turbulence in shallow water models
• Wave turbulence: the case of capillary waves (a review)
• Wave turbulence in magnetohydrodynamics
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