Theory of charge particle acceleration by a shock wave ensemble in a turbulent medium

A kinetic theory is proposed for the acceleration and transport of charge particles in a plasma with strong MHD supersonic and super-Alfven turbulence. In addition to gradual fluctuations of different scales, such turbulence is characterized by the presence of sharp discrete formations (shock waves) and therefore has a distinct intermittent structure. Particle acceleration near the fronts by the first-order Fermi mechanism leads to an intermittent structure of the accelerated particle distribution function. The accelerated particle distribution functions are determined, and the effect of the front ensemble parameters on the particle energy spectrum characteristics is investigated.