Abstract

We develop our model of space plasma consisted from two types of charged particle scatterers: 1-background plasma moved with some velocity u with frozen in magnetic inhomogeneties characterized by transport path λ1(R), where R is the rigidity of charged particles; 2- magnetic clouds, high speed streams, shock waves (considered only as scatterers) moved with some average velocity V and characterized by transport path λ2(R). We suppose that u and V contain regular and fluctuated parts. From the collisional Boltzmann equation we derive the diffusion approximation described the propagation and acceleration of charged particles which consists with usually used at u = V. It is shown that when u and V are not equal, we obtain some additional particle acceleration what can be important in the Heliosphere and stellar winds, in the Galaxy and other astrophysical objects.

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