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Although diffusive shock acceleration (DSA) could be simulated by somewell-established models, the assumption of the injection rate from the thermalparticles to the superthermal population is still a contentious problem. But inthe self-consistent Monte Carlo simulations, because of the prescribedscattering law instead of the assumption of the injected function, henceparticle injection rate is intrinsically defined by the prescribed scatteringlaw. We expect to examine the correlation of the energy injection with theprescribed multiple scattering angular distributions. According to theRankine-Hugoniot conditions, the energy injection and the losses in thesimulation system can directly decide the shock energy spectrum slope. By thesimulations performed with multiple scattering law in the dynamical Monte Carlomodel, the energy injection and energy loss functions are obtained. As results,the case applying anisotropic scattering law produce a small energy injectionand large energy losses leading to a soft shock energy spectrum, the caseapplying isotropic scattering law produce a large energy injection and smallenergy losses leading to a hard shock energy spectrum.

The energy injection and losses in the Monte Carlo simulations of a diffusive shock