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Fig. A.1

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Shock is produced by supersonic flow toward the stationary reflective wall to the right. Continuous inflow of new particles occurs at the left boundary. Inflow velocity is U0, a particle’s total velocity is V, the local frame particle velocity is VL, and thermal velocity  ⟨ VL ⟩  = v0. The two circles represent one typical particle in the upstream region and one in the downstream region, respectively. The vertical solid line represents the shock front, the vertical dashed line represents the FEB, the velocity of the shock is Vshock, size of the foreshock region is Xfeb = 90, the upstream flow velocity U = U0, and the downstream flow velocity is U = 0. The magnetic field B0 and inflow velocity U0 are both normal to the shock front (see Knerr et al. 1996).

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