Physics
Scientific paper
Aug 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001icrc....6.2018z&link_type=abstract
Proceedings of the 27th International Cosmic Ray Conference. 07-15 August, 2001. Hamburg, Germany. Under the auspices of the Int
Physics
Scientific paper
We present numerical solutions of a two dimensional, self consistent model of cosmic ray modified, supernova remnant shocks developed by Zakharian (2000). The equations of the model consist of the Parker transport equation for the energetic particle momentum distribution function, f, including convection, anisotropic diffusion, drifts, and adiabatic energy changes. The transport equation is coupled self consistently, with the equations of ideal magnetohydrodynamics (MHD) describing the thermal plasma, but suitably modified to take into account injection at the shock, and with an extra force - pc, exerted by the cosmic ray pressure pc in the momentum equation for the system. The model incorporates anisotropic diffusion of the cosmic rays, including diffusion parallel (κ ), and perpendicular (κ⊥) to the mean magnetic field, and the role of particle drifts due to the anti-symmetric diffusion coefficient κA. For the case of an initially uniform background magnetic field, the anisotropic diffusion of the cosmic rays leads to an anisotropic spatial distribution of thermal plasma, cosmic rays and magnetic field. The shock is quasi-parallel over the poles (θ = 0° ), and quasi-perpendicular near the equator (θ = 90° ), where θ = 0° corresponds to the initial magnetic field direction. The evolution of the SNR shock, and the momentum distribution f(r, p, t) of the energetic particles are investigated. The dependence of the solutions and acceleration rate at the shock on the parameter η = κ⊥/κ and the shock obliquity θ are studied in detail.
Brio M.
Jokipii Randy J.
Webb Gary M.
Zakharian A. R.
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