Turbulence of capillary waves revisited

Details Turbulence of capillary waves revisited Turbulence of capillary waves revisited

2010-05-12

arxiv.org/abs/1005.2067v2

Physics

Fluid Dynamics

Scientific paper

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.

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