The effect of non-extensive particles on slowing down and diffusion of a particle's beam in the plasma

Abstract

The slowing down as well as the deflection time of test particles in the plasma is studied in the non-extensive statistics. The relevant relations are derived using Fokker Planck equation. It is remarked that the slowing down and deflection times modify considerably in the non-extensive statistics in comparison with Boltzmann Gibbs one. It is found that by decreasing non-extensivity index q (1/3<q≤1 which corresponds to plasma with excess super extensive particles), both the slowing down and deflection times will be increased. Also, for q≥1, i.e., the sub-extensive particles, the same results are obtained by decreasing q. Additionally, the effects of non-extensive distributed particles on the electrical conductivity and diffusion coefficient of plasma are studied. It is shown that plasmas with smaller qs are better conductors in both 1/3<q≤1 and q≥1. In addition, it is observed that by increasing q, Dreicer field will increase in both super-extensive and sub-extensive particles. Moreover, it is found that the diffusion coefficient across a magnetic field is decreased by decreasing q. Furthermore, our results reduce to the solutions of Maxwellian plasma at the extensive limit q → 1. This research will be helpful in understanding the relaxation times and transport properties of fusion and astrophysical plasmas.