| Summary: | In this paper, the analysis of Weibel instability for electron–positron plasma is carried out by applying the q non-extensive velocity distribution function. Our analysis is based on two dimensional fully kinetic electromagnetic relativistic electromagnetic (EM) particles in cell simulation. The simulation results show the steepening of the distribution function by increasing the q-factor and decreasing the total energy of the system. From plots it can be manifested that in all cases, the particles give energies to the EM fields, and hence, the strength of magnetic tubes decreases. For the non-extensive parameter q = 10, the electron energy levels are higher than the positron energy levels and give energy to both positrons and EM fields.
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