Particle acceleration at shock waves moving at arbitrary speed: the case of large scale magnetic field and anisotropic scattering

Abstract

A mathematical approach to investigate particle acceleration at shock waves moving at arbitrary speed in a medium with arbitrary scattering properties was first discussed in (Vietri 2003) and (Blasi & Vietri 2005}. We use this method and somewhat extend it in order to include the effect of a large scale magnetic field in the upstream plasma, with arbitrary orientation with respect to the direction of motion of the shock. We also use this approach to investigate the effects of anisotropic scattering on spectra and anisotropies of the distribution function of the accelerated particles.

28 pages, 14 figures, accepted for publication in ApJ

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• Interpretation and implication of the non-detection of GeV spectrum excess by Fermi gamma-ray Space Telescope in most GRBs
• Can we probe the Lorentz factor of gamma-ray bursts from GeV-TeV spectra integrated over internal shocks?
• The effect of energy amplification variance on the shock-acceleration
• Particle acceleration at shock waves: particle spectrum as a function of the equation of state of the shocked plasma
• Lepton Acceleration in Pulsar Wind Nebulae