Correlation analysis of the interaction of plane capillary waves in the regime of developed wave turbulence

The work presents the results of direct numerical simulation of the turbulence of plane capillary waves propagating along a liquid boundary. The model used is completely nonlinear and takes into account the effects of pumping and dissipation of energy. The calculated turbulence spectrum is in good agreement with the analytical estimate obtained on the basis of the theory of weak wave turbulence under the assumption of the dominant influence of resonant five-wave interactions. The correlation analysis directly demonstrates the presence of nontrivial five-wave interactions of plane capillary waves.