Adiabatic Interaction of Coherent Waves with Weak Turbulence in Plasmas

The method of correlation functions, together with a Fourier‐transform technique, is used to construct self‐consistent equations describing the adiabatic interaction of coherent waves with weakly turbulent plasmas. The formalism is applied to study the propagation of a low‐frequency ion‐acoustic wave in the presence of high‐frequency ion‐acoustic turbulence. It is found that the turbulent waves increase the phase velocity of the coherent wave in the case where they all propagate so that each has a velocity component in a given direction. In the opposite case, the phase velocity of the coherent wave increases or decreases depending on whether the turbulence peaks at low or high values of kλD.