Particle acceleration by shock wave in a turbulent medium

The solution of a non-stationary problem on particle acceleration by shock wave in a turbulent interplanet medium is observed in a one-dimensional model. The shock waVe in the turbulent medium can accelerate particles in the result of three factor effect: 1) regular electric field of the shock wave; 2) mermiev acceleration with magnetic non-uniformities, which move at different rates in front and behind the front; 3) particle acceleration by turbulence behind the front, which can be generated or noticeably strengthened by the shock wave. The particles are considered energetic enough, so that their larmor radius is large in comparison with the front thickness. The particle distribution function is supposed to be close to the isotropic one; a transfer equation is used for describing their movement. The processes of particle interation with the front (acceleration, reflection or conduction) are taken into account by the limiting condition, imposed on the particle concentrations and fluxes. Considered have been momentary particle injection and different dependences of the diffusion coefficient on the energy. Evaluated are the acceleration time and maxial energy of the particles, as well as their energy spectra. Comparison with the observation data shows, that many cases of intensity growth of fast particles, correlated with the shock wave coming, can be explained by particle acceleration by the shock wave