@**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}

}