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arXiv · 1005.2067

Turbulence of capillary waves revisited

Elena Kartashova·Alexey Kartashov
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Abstract

Kinetic regime of capillary wave turbulence is classically regarded in terms of three-wave interactions with the exponent of power energy spectrum being $\nu=-7/4$ (two-dimensional case). We show that a number of assumptions necessary for this regime to occur can not be fulfilled. Four-wave interactions of capillary waves should be taken into account instead, which leads to exponents $\nu=-13/6$ and $\nu=-3/2$ for one- and two-dimensional wavevectors correspondingly. It follows that for general dispersion functions of decay type, three-wave kinetic regime need not prevail and higher order resonances may play a major role. Accepted for publication.

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Elena Kartashova, Alexey Kartashov. 2010-05-12. Turbulence of capillary waves revisited. https://arxiv.org/abs/1005.2067

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