A Numerical study on the ion acceleration in the parallel shock wave

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Sun: Flares, Sun : Coronal Mass Ejections (Cmes), Physical Data And Processes: Acceleration Of Particles, Physical Data And Processes: Shock Waves

Scientific paper

It has been an hot problem for the ion acceleration by the fast coronal and interplanetary shock waves driven by the flares and coronal mass ejections. Shock acceleration includes two main parts: one is the shock drift acceleration and the other is the diffusive shock acceleration. So far, the analytic method and numerical method are used in most researches on shock acceleration. The numerical simulations of the diffusive shock acceleration are studied extensively. As the difference between multidimensional simulation and one dimensional simulation is not evident in the parallel shock waves, the numerical method of solving one dimensional time-dependent transport equation is constructed and its stability is analyzed first. Then, the physical relationship between the distribution of the accelerated ions and the parameters of shock waves and background plasmas is studied. Assuming the constant and the energy-dependent diffusive coefficients and finite upstream and downstream free escape boundaries, it's shown that: (1) the accelerated particles approximately appear a double power-law distribution and the spectral index decreases from 10.2 to 2.4 in the low energy region of 3---10 MeV with the increase of the acceleration time; (2) with the increase of the compression rate of the shock from 2 to 4, the spectral index decreases from 3.2 to 2.2 at the same time and in the same range; (3) when the finite upstream and downstream escape boundaries decrease from 5 to 2, the spectral index increases from 2.4 to 3.3; (4) the spectral index decreases from 2.4 to 0.9 with the increase of the initial inject energy of the particles; (5) when the diffusion coefficient is dependent on the energy of the particles, the spectral index increases from 2.2 to 4.3 as compared with the constant diffusion coefficient.

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