Propagation of a beam of hot electrons through solar wind plasma with generalized ( r , q ) $(r,q)$ distribution function

Abstract

The background plasma is assumed to have generalized $(r, q)$ distribution for the electrons in the solar wind. The propagation of a beam of hot electrons through solar wind plasma with generalized $(r,q)$ distribution and the generation of Langmuir waves are simulated using quasilinear equations. It is shown that spectral indices $r$ and $q$ affect the quasilinear dynamics of the beam and Langmuir waves. The damping of beam generated waves increases in $(r,q)$ distributed plasma. As indices $r$ and $q$ increase the system shows quasilinear behavior which is more similar to the Maxwellian distribution function. The value of average velocity of the beam increases in a plasma with $(r, q)$ distribution function and as the values of $r$ and $q$ increase, the average velocity of the beam decreases. It is also shown that the gas-dynamical parameters of the beam are functions of spectral indices $r$ and $q$ . The upper boundary of the plateau, and local velocity spread are increasing functions while the lower boundary and height of plateau are decreasing functions of $r$ and $q$ . The local velocity shows smooth behavior with respect to spectral indices $r$ and $q$ , and for all indices at given time and position has approximately same values.