The stability of cosmic-ray-dominated shocks - A secondary instability

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Acoustic Instability, Cosmic Rays, Hydrodynamics, Shock Waves, Shock Wave Propagation, Two Dimensional Flow

Scientific paper

Previous studies in one spatial dimension showed that the precursors of cosmic-ray-dominated shocks are unstable against traveling acoustic disturbances. Here we report that a secondary, Rayleigh-Taylor type instability can exist in cosmic-ray-dominated media influenced by the acoustic instability. Using the local WKB approximation, the growth rate of the secondary instability is shown to be comparable to that of the one-dimensional acoustic instability itself in the cases we have considered. The nonlinear development has been followed numerically with a two-dimensional PPM hydrodynamics code that also incorporates the two-fluid cosmic-ray energy equation. We show that the secondary instability may cause the precursor and postshock flows to become highly turbulent.

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