Anomalous diffusion of energetic particles: implications for diffusive particle acceleration at a quasi-perpendicular shock

Astronomy and Astrophysics – Astrophysics

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Solar Cosmic Ray Particles, Acceleration, Shock Waves, Turbulent Diffusion, Solar Wind, Magnetic Fields, Particle Acceleration, Planetary Bow Shocks, Interplanetary Shocks, Interplanetary Magnetic Fields

Scientific paper

We study energetic particle transport in turbulent magnetic fields. The composite turbulence is modeled by a nonlinear structure (vortex) and a randomly fluctuating background magnetic field. Results of our numerical simulations show that an anomalous diffusion regime (subdiffusion and superdiffusion) occurs when the correlation length of the magnetic field disturbances is about the same or larger than the average particle gyroradius. Subdiffusion of cosmic rays in the vicinity of a quasi-perpendicular shock can lower the density of particles at the shock front. Particles become temporarily trapped in the turbulent magnetic fields. The particle spectrum in this case can steepen as compared to the spectrum in the classic diffusive acceleration case. We estimate a power law index for the particle spectrum for a number of cases and discuss implications for cosmic ray transport in the heliosphere.

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