Probability distribution for Fourier components of the electric field in weak plasma turbulence

Probability distributions for Fourier components of the electric field, including joint distributions for different Fourier components and multiple-time distributions for the same component, are determined using two assumptions within the spirit of weak-turbulence theory. This statistical framework is then applied to the special case where the turbulence is dominated by the wave-particle interaction (i.e., the quasilinear case).