Non-linear Guiding Center Theory and Acceleration of Cosmic Rays at Supernova Remnant Shocks

Astronomy and Astrophysics – Astrophysics

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Supernova Remnants, Cosmic Rays, Shock Waves, Particle Accelerators, Interstellar Matter, Supernova Remnants, Cosmic Rays, Planetary Bow Shocks, Interplanetary Shocks, Particle Acceleration, Interstellar Dust Grains, Diffuse Emission, Infrared Cirrus

Scientific paper

Supernova Remnant shocks have long been identified as the major site of cosmic ray acceleration. At the shock front, cosmic rays traverse upstream and downstream multiple times and gain energies up to 1013-14 eV and perhaps even reach 1018 eV. The maximum achievable energy at a SNR shock is decided by many factors. Among these, shock geometry is an important one. Using a simple quasi-linear theory, Jokipii [1] showed that the acceleration rate at a perpendicular shock can be orders of magnitude faster than that at a quasi-parallel shock. Consequently, high energy cosmic rays are produced at quasi-perpendicular portion of a SNR shock. The perpendicular diffusion coefficient used in Jokipii [1], however, do not agree with careful numerical calculations. In this paper, we discuss cosmic ray acceleration at SNR shock using the Non Linear Guiding Center (NLGC) Theory for κ⊥. We show that at an oblique shock, the generation of Alfven waves along the upstream magnetic field direction will reduce κ||, which is coupled to κ⊥ through the NLGC theory. We find that depending on the properties of the interstellar MHD turbulence, the fastest acceleration rate can occur at an oblique shock. The implication of our result to the X-ray observations of SNR is discussed.

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