Stochastic Modeling of Ionosphere Modification

The paper is devoted to investigation of the process of ionospheric modification by the action of a powerful wave. Interaction of a powerful heating wave with the ionospheric plasma in the F-layer can be leads to parametric instability, which occurs at the Langmuir resonance point near the reflection point of the pump wave. Parametric instability of the plasma leads to the formation of cavitons (long-lived caverns of plasma density) - disturbances in the distribution of the average plasma concentration. In this work, a mathematical model is constructed based on stochastic differential Langevin equations. It is shown that within the framework of this model, all conditions for the possibility of accelerating electrons are met. Arguments are given in favor of the adequacy of this model.