Spectra And Time Scales For Particle Acceleration In Ultra-Relativistic Flows Applicable To Gamma-Ray Bursters

Details Spectra And Time Scales For Particle Acceleration In Ultra-Relativistic Flows Applicable To Gamma-Ray Bursters Spectra And Time Scales For Particle Acceleration In Ultra-Relativistic Flows Applicable To Gamma-Ray Bursters

Aug 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001icrc....7.2742m&link_type=abstract

27th International Cosmic Ray Conference Proceedings, vol 6., 2742-2745

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Monte-Carlo computations of ultra-relativistic parallel and oblique shock acceleration is presented for upstream flow gamma factors, Gamma=(1-Vup}2/c2)-0.5 up to Gamma~1000, relevant to Gamma-ray burst (GRB) fireballs. For oblique sub-luminal shocks, the spectra depend on whether or not the upstream scattering is small angle with delta theta < Gamma-1 or isotropic, which is possible if lambda > rg Gamma where lambda is the scattering mean free path along the field line and rg the gyroradius. The large angle case exhibits distinctive structure in the basic power-law spectrum not nearly so obvious for small angle scattering but both cases yield a significant speed-up of acceleration rate when compared with the conventional, non-relativistic expression, tacc=[c/Vup-Vdown] [lambdaup/Vup+lambdadown/Vdown]. The Gamma2 energisation factor per shock crossing, important in the Vietri work on GRB ultra-high energy neutrino, and possibly cosmic ray and gamma-ray output, is supported for the first crossing cycle but the factor is less subsequently. Super-luminal shock results are discussed in a companion paper (these proceedings, Meli and Quenby, 2001).

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