@article{RISC4026,author = {E. Kartashova and A. Kartashov},
title = {{Turbulence of capillary waves revisited}},
language = {english},
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.},
journal = {EPL},
volume = {submitted},
pages = {1--6},
isbn_issn = {isbn},
year = {2010},
refereed = {yes},
length = {6},
url = {http://arxiv.org/abs/1005.2067}
}