On the stability of strong collisionless shock waves with relativistic accelerated particles

Astronomy and Astrophysics – Astronomy

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Scientific paper

We develop the theory of corrugation instability of the fronts of strong collisionless shock waves which accelerate particles up to relativistic energies in a turbulent cosmic plasma. In a quasi-linear acceleration regime, the wave front is unstable toward the spontaneous emission of sound generated by its weakly damped oscillations. An oscillation that has arisen at some instant of time exists for a long time without destroying the front. In nonlinear regimes, for a considerable relative compression (exceeding 6.5 in our model), large-scale perturbations of the front grow exponentially and may result in its disintegration into regions whose linear sizes are appreciably larger than the prefront thickness that is formed by the nonlinear interaction of accelerated particles with the plasma onflow. This is accompanied by a restructuring of the front into a stable state with a sharp decrease in the fraction of initial energy transferred to the accelerated particles.

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