Multiple-encounter shock-drift acceleration in nearly perpendicular shocks

A model in which low-energy ions are accelerated by a nearly perpendicular MHD shock without upstream turbulence is presented. In the present scheme, vigorous particle cross-field scattering by downstream turbulence competes with the convection downstream, sending particles back to the shock front for acceleration. Some fraction of the low-energy ions are accelerated up to maximal energy prior to escaping upstream to possibly undergo diffusion shock acceleration. The model can explain particle injection of the diffusive shock acceleration along with ion acceleration during solar flares.