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arXiv · 1704.03820

Nonstationary distributions of wave intensities in Wave Turbulence

Yeontaek Choi·Young-Sam Kwon·Sanggyu Jo·Sergey Nazarenko
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Abstract

We obtain a general solution for the probability density function of wave intensities in non-stationary Wave Turbulence. The solution is expressed in terms of the wave action spectrum evolving according the the wave-kinetic equation. We establish that, in absence of wave breaking, the wave statistics asymptotes to a Gaussian distribution in forced-dissipated wave systems that approach a steady state. Also, in non-stationary systems, if the statistics is Gaussian initially, it will remain Gaussian at any time. Generally, the statistics that is not Gaussian initially will remain non-Gaussian over the characteristic nonlinear time of the wave spectrum. In freely decaying wave turbulence, substantial deviations from Gaussianity may persist infinitely long.

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Yeontaek Choi, Young-Sam Kwon, Sanggyu Jo, Sergey Nazarenko. 2017-04-06. Nonstationary distributions of wave intensities in Wave Turbulence. https://doi.org/10.1088/1751-8121%2Faa7dba

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