A numerical study on statistical characteristics of amplitude fluctuations in a wave turbulence

► Statistics of energy of component waves in a wave turbulence is studied numerically. ► Statistics over nearby modes is shown to be equivalent to that over independent ensembles. ► PDF of energy approaches the chi-squared distribution as the fluctuation grows. ► PDF of time derivative of energy approaches the Laplace distribution. ► Time scale of growth of energy fluctuation is faster than that of spectral evolution.