Diffusive shock acceleration in modified shocks

Astronomy and Astrophysics – Astronomy

Scientific paper

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Cosmic Rays, Diffuse Radiation, Energetic Particles, Particle Acceleration, Shock Fronts, Asymptotic Methods, Distribution Functions, Particle Diffusion, Transport Properties

Scientific paper

The authors investigate the effects of shock substructure on the diffusive shock acceleration of energetic particles by solving the steady-state transport equation for a unidirectional, inhomogeneous, flow through a stationary shock front, in the test-particle approximation. Far downstream from the shock front, the accelerated particle distribution function is a power law at high momentum. The spectral index is a smoothly varying function of the ratio l/λ, where l is the length scale of the shock substructure, and λ is the accelerated particle scattering mean free path. Possible application to the non-linear (accelerated particle back reaction) diffusive shock acceleration problem, and implications for particle (cosmic ray) acceleration in radiating shocks are briefly discussed.

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