Physics
Scientific paper
Jul 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003icrc....4.2023v&link_type=abstract
Proceedings of the 28th International Cosmic Ray Conference. July 31-August 7, 2003. Trukuba, Japan. Under the auspices of the I
Physics
2
Scientific paper
We have used Monte Carlo simulations to study the properties of particle acceleration in relativistic shocks that have a non-trivial structure: a finite width and a specific velocity profile. The numerical modeling indicates that (i) rigidity dependence of the mean free path and (ii) the electron injection energy crucially affect the shape of the electron spectrum. For an energy-indep endent mean free path, a spectral index of 3.2 of accelerated electrons is obtained for ultra-relativistic shocks with a thickness determined by ion dynamics. The value of 2.2 previously computed by several authors for a step-like shock is obtained as a high-energy limit for a mean free path increasing as a function of energy.
Vainio Rami O.
Virtanen Jani
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