Particle acceleration at shocks - A Monte Carlo method

Details Particle acceleration at shocks - A Monte Carlo method Particle acceleration at shocks - A Monte Carlo method

Nov 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...322..256k&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 322, Nov. 1, 1987, p. 256-265.

Astronomy and Astrophysics

Astrophysics

50

Monte Carlo Method, Particle Acceleration, Relativity, Shock Wave Propagation, Wave Interaction, Diffusion Coefficient, Elementary Particle Interactions

Scientific paper

A Monte Carlo method is presented for the problem of acceleration of test particles at relativistic shocks. The particles are assumed to diffuse in pitch angle as a result of scattering off magnetic irregularities frozen into the fluid. Several tests are performed using the analytic results available for both relativistic and nonrelativistic shock speeds. The acceleration at relativistic shocks under the influence of radiation losses is investigated, including the effects of a momentum dependence in the diffusion coefficient. The results demonstrate the usefulness of the technique in those situations in which the diffusion approximation cannot be employed, such as when relativistic bulk motion is considered, when particles are permitted to escape at the boundaries, and when the effects of the finite length of the particle mean free path are important.

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