Cosmic-ray-modified shocks

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Cosmic Rays, Mathematical Models, Particle Acceleration, Shock Wave Interaction, Shock Waves, Space Plasmas, Efficiency, Magnetohydrodynamics, Stability, Time Dependence, Two Fluid Models

Scientific paper

It is now commonly accepted that shock acceleration (in various forms) is an important mechanism to accelerate energetic particles or cosmic rays. One of the attractive features of this mechanism is its efficiency. However, a simple energy budget argument then leads to the consideration of the backreaction of the cosmic rays on the plasma and the shock. The hydrodynamic approach is a good approximation in studying the structure of the modified shock. There are two generic structures. One of them is when the upstream plasma is slowed down and is followed by a sub-shock, and the other is smooth transition. Various aspects of the modified shock, such as instability, injection, efficiency, and time evolution, are discussed. Remarks on the limitation of the hydrodynamic approach are given.

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