Quasilinear relaxation of a beam with power law injected electrons propagating through solar corona

Abstract

It is assumed that the electron beam propagating thorough the Maxwellian solar corona plasma has a power law spectra. Using numerical simulations of the quasilinear equations, the effects of power law injected electrons on the generation of Langmuir waves are compared with a Maxwellian beam. It is found that the level of Langmuir waves increases in the presence of power law injected electrons. The average velocity of the beam propagation is constant for both Maxwellian and power law injected electrons but its value increases in the second case. The influence of the power law injected electrons on the evolution of gas-dynamical parameters such as the height of the plateau in the beam distribution function in velocity space, its upper and lower velocities boundary, and the local velocity of the beam and its spread is investigated. It is shown that the these parameters are dependent on the characteristics of the power law injected electrons, p (spectral index), and v0 (the break speed). The upper boundary of plateau decreases (increases) with the p(v0) but the lower boundary has inverse behavior. The height of plateau p(x,t) is a decreasing function of p and for a fixed value of p it has a maximum in a certain value of v0 at a given time and position.