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One dimensional PIC simulation of relativistic Buneman instability
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Spatio-temporal evolution of the relativistic Buneman instability has been investigated in one dimension using an in-house developed particle-in-cell simulation code. Starting from the excitation of the instability, its evolution has been followed numerically till its quenching and beyond. The simulation results have been quantitatively compared with the fluid theory and are found to be in conformity with the well known fact that the maximum growth rate (γmax) reduces due to relativistic effects and varies with and m/M as , where is the Lorentz factor associated with the initial electron drift velocity (v
0) and (m/M) is the electron to ion mass ratio. Further it is observed that in contrast to the non-relativistic results [A. Hirose, Plasma Phys. 20, 481 (1978)] at the saturation point, the ratio of electrostatic field energy density () to initial drift kinetic energy density (W
0) scales with as . This novel result on the scaling of energy densities has been found to be in quantitative agreement with the scalings derived using fluid theory.
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