Towards the theory of nonlinear Weibel turbulence

Physics – Plasma Physics

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Scientific paper

The studies of the structure and evolution of nonlinear Weibel turbulence are of high importance for our understanding of the physics of ultra- through sub-relativistic collisionless shocks and the laser-plasma interaction. Linear Weibel instability results in the current filamentation on an initially homogeneous plasma configuration. The nonlinear stage of the Weibel instability, which we refer to as the "Weibel turbulence," exhibits rich dynamics. We demonstrate that the Weibel turbulence is unstable to the current coalescence and theoretically determine its growth rate. We compare our theoretical results with 3D PIC plasma simulations of the Weibel instability performed with the OSIRIS code. As one of the consequences of the coalescence process, we name the continuous growth with time (and the distance from the shock front) of the correlation scale of the Weibel-generated magnetic fields, while the field strength does not substantially evolve. We discuss the implication of this result for the observations of the gamma-ray burst and supernovae collisionless shocks.

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