Relativistic Weibel instability in magneto‐inertial fusion using Krook collision model

Abstract

In this work, we studied the relativistic Weibel instability (RWI) in magneto‐inertial fusion experiment (MIFE); for this, the basic equation in our model is the relativistic Fokker–Planck equation. We solve the dispersion relation of low frequency and deduce the growth rate of RWI. The main results obtained are that the IBA source alone is capable to reduce the RWI, and also the coupling between it and the external magnetic field contributes strongly to achieving a reduction of the RWI, it has been shown clearly that the relativistic effect under this conditions can be decrease the values of growth rate of WI.