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

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.