Spatially dependent mean free path of energetic particles: Test particle simulation study

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2149 Mhd Waves And Turbulence (2752, 6050, 7836), 7514 Energetic Particles (2114), 7807 Charged Particle Motion And Acceleration, 7859 Transport Processes, 7867 Wave/Particle Interactions (2483, 6984)

Scientific paper

Spatial diffusion process plays central roles in propagation and shock acceleration of energetic particles. It is evident from the observations that the mean free path of the energetic particles has a spatial dependence through variations of the magnetic field turbulence level and power spectrum of the waves etc. However, it is unclear that the relation of the spatial dependence with the statistics of the magnetic field turbulence, and some assumptions are considered based on the quasi-linear theory for fitting to the observed time-intensity profile of the particles, and for numerical models of solar energetic particle events. By performing test particle simulations, we study spatial dependence of the mean free path of energetic particles, taking into account spatial evolution of MHD waves in the upstream of a parallel shock. We assume that the monochromatic waves at far upstream regions evolve spatially into turbulent field near the shock front. The resonant wave vanishes while going away from the shock. Accordingly some of the non-resonant particles escape to the far upstream depending on the particle velocity. We evaluate the mean free path and spatial temporal profile of the particles that cannot be described by the quasi-linear theory. We attempt to develop a new method of fitting to the intensity profile of the particles, by making use of the fractional diffusion equation.

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