Noisy spectra, long correlations, and intermittency in wave turbulence
Noisy spectra, long correlations, and intermittency in wave turbulence
We study the $k$-space fluctuations of the wave action about its mean spectrum in the turbulence of dispersive waves. We use a minimal model based on the random phase approximation (RPA) and derive evolution equations for the arbitrary-order one-point moments of the wave intensity in the wave-number space. The first …