Maximum Particle Energies by Fermi Acceleration and the Origin of Cosmic Rays above the Knee

Details Maximum Particle Energies by Fermi Acceleration and the Origin of Cosmic Rays above the Knee Maximum Particle Energies by Fermi Acceleration and the Origin of Cosmic Rays above the Knee

2000-12-22

arxiv.org/abs/astro-ph/0012490v3

Astronomy and Astrophysics

Astrophysics

4 pages, to appear in Proc. 27th ICRC (Hamburg, Germany)

Scientific paper

We derive the maximum accelerated particle energy from first-order and second-order Fermi acceleration at nonrelativistic and relativistic shocks for explosions taking place in a uniform surrounding medium. Second-order stochastic processes in relativistic flows are shown to be capable of accelerating cosmic rays to ultra-high energies. Cosmic rays above the knee of the cosmic ray spectrum can be accelerated by the second-order Fermi mechanism in relativistic flows, such as those occuring in gamma-ray bursts and unusual supernovae like SN 1998bw.

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