Particle acceleration at modified shock fronts. I -The power-law spectrum for relativistic flows

Astronomy and Astrophysics – Astrophysics

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Cosmic Rays, Particle Acceleration, Power Spectra, Shock Fronts, Charged Particles, Distribution Functions, Eigenvalues, Relativistic Theory, Transport Properties

Scientific paper

A method is developed by which the problem of the transport and acceleration of cosmic ray particles in one-dimensional plasma flows can be treated. The method is applied to the problem of particle acceleration in modified shock fronts under the assumption that the diffusion coefficient is independent of particle momentum and the particles are ultrarelativisitic. In the case of nonrelativistic flows the method is used to demonstrate that the diffusion approximation yields a more accurate answer than can be expected in view of the restrictions imposed in its derivation.

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