A SELF-CONSISTENT MODEL FOR THE ACCELERATION OF SOLAR-WIND PROTONS AND GENERATION OF ALFVEN TURBULENCE BY AN INTERPLANETARY SHOCK-WAVE

The regular acceleration of solar-wind particles (protons) by interpla netary shock waves is studied by numerically solving the transfer equa tions for particles and waves in the quasi-linear approximation. It is shown that the self-consistent spectra of the accelerated particles a nd Alfven waves are determined not only by the current parameters of t he system but also depend heavily on its prehistory. If the rate of in jection of suprathermal particles into the acceleration regime decreas es with heliocentric distance and/or Alfven waves are effectively gene rated, the energy spectra and their spatial distributions are nonmonot onic. The theory satisfactorily reproduces the observed energy and spa tial distributions of protons in the vicinity of interplanetary shocks .