Spatio-temporal Dynamics of Fast Electrons and Plasma Turbulence in an Inhomogeneous Flare Plasma

Thespatio-temporal dynamics of the propagation of fast electrons in solar plasma is examined with consideration of their interaction with Langmuir waves, which are generated during the development of beam instability. As a result of numerical simulation, the electron-distribution function and the spectral energy density of Langmuir waves are obtained for different times and at different distances from the place of acceleration in the flare loop. It is shown that the maximum of the distribution function of fast electrons changes little at a distance of similar to 10(6) cm. At large distances, the distribution function decreases; some of the electrons propagate in the flare loop, at least over a distance of similar to 10(8) cm. The length of the region with an increased level of energy density of Langmuir waves is similar to 10(7) -10(8) cm, and the maximum value of the energy density of Langmuir waves reaches 10(-2) erg/cm(3).