Self-similar modified shock structures

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cosmic Rays, Particle Acceleration, Shock Waves, Astronomical Models, Mach Number, Magnetic Diffusion, Relativistic Plasmas, Time Dependence

Scientific paper

Time dependent shock structures for a "three fluid" system including gas, mildly relativistic particles and ultrarelativistic particles are obtained by considering self-similar solutions of the ideal hydrodynamical equations. The effective diffusion coefficient of the ultrarelativistic particles is assumed to be spatially constant but to increase linearly with time. The diffusive particle acceleration process turns out to be very efficient, with overall compressions in the range 10 - 20 although no energy loss from the system occurs.

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