Acceleration of cosmic rays in their scattering on massive scatterers moving with a regular velocity

Physics

Scientific paper

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Scientific paper

Based on the model representing cosmic magnetic fields as moving massive scatterers with which light cosmic ray (CR) particles collide, we examine the process of particle energy change. The particles are elastically reflected from the boundary of a spherically symmetric region in which scatterers move with a regular radial velocity. An exact analytical solution of the corresponding boundary-value problem is built for a specially chosen initial density distribution of particles. This solution suggests that particles are accelerated in such a system. Although the Fermi acceleration of the first kind operates in this case, the equation describing the acceleration processes is similar to the equation which describes the statistical acceleration.

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