Abstract
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.
Highlights
The Weibel instability is a type of plasma instability that occurs because of velocity anisotropic inhomogeneous or nearly homogeneous electromagnetic plasma
Weibel instability occurs in supernova remnants or young galaxies or it may be self-generated in systems such as gamma-ray bursts (GRBs) (Huntington et al, 2017)
It should be noted that the distribution of high-velocity particles and, as a result, the total kinetic energy of the system would be decreased by increasing the q factor, so less energy would convert to magnetic fields
Summary
The Weibel instability is a type of plasma instability that occurs because of velocity anisotropic inhomogeneous or nearly homogeneous electromagnetic plasma. The results of the particle in cell simulation show that the strength of the magnetic field tubes is decreased by increasing the q-factor and it affects the profile of electron density. The Weibel instability is analyzed using different q non-extensive velocity distributions by applying a relativistic electromagnetic two-dimensional (2D) particle-in-cell (PIC) code.
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