Mathematical modeling of overcoming barrier time for electrons in ionospheric cavitons in the Langmuir turbulence region

This paper is devoted to mathematical modeling electron motion in collisional ionospheric plasma of the F-layer, which forms in the region of Langmuir turbulence under the influence of a powerful wave. This plasma is characterized by the presence of cavitons, which create a potential energy profile with distinct minima and maxima (potential barriers). Particular attention is given to modeling the passage of electrons through the caviton potential barrier. An expression for calculating the overcoming barrier time is obtained analytically. It is shown that the calculation results within this expression are in good agreement with the results of numerical simulations over a wide range of caviton width and electric field amplitudes. The numerical simulations are performed within the framework of a stochastic approach using Langevin differential equations. Using the elasticity coefficient, the sensitivity of the overcoming barrier time to the caviton width and the electric field amplitude is analyzed. The behavioral features and physical regularities of the overcoming barrier time function obtained through numerical simulations are also discussed.