Weibel Instability in Relativistic-Maxwellian Laser Fusion Plasma

Abstract We study the Weibel instability (WI) in plasma heated by a laser pulse in the relativistic regime under Jüttner-Maxwell distribution function (relativistic Maxwellian), for this the basic equation in our model is the relativistic Vlasov equation .we solve the dispersion relation of low frequency and deduce the growth rate of WI. The main obtained result is that the choice of plasma density, quick scale time and electronic temperature can be stabilized the value of growth rate of WI; when shown clearly that the relativistic effect sureties the spectrum of growth rate of WI.