“…The statistical properties of weakly nonlinear wave systems have been thus proven to evolve through a kinetic equation for the second order moments of the wave amplitudes [10]. Many different systems such as waves in plasma [11][12][13][14], spin waves in solids [15,16], surface waves in fluids [7,8,10,17,18] and nonlinear optics [19,20] among others, have been shown to follow similar kinetic equations in the weakly nonlinear regime. Moreover, Zakharov has shown that stationary, out-of-equilibrium power-law solutions, naturally emerge from the kinetic equation [11].…”