Regular mechanism of charged particle acceleration under conditions prevailing in space. II - Random walk model

Mathematics – Logic

Scientific paper

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Aerospace Environments, Charged Particles, Particle Acceleration, Random Walk, Integral Equations, Mathematical Models, Particle Density (Concentration), Shock Wave Propagation

Scientific paper

In the present paper, the regular mechanism of charged particle acceleration is analyzed on the basis of a random-walk model. This approach underlines explicitly the long-term containment of the particles due to their scattering at inhomogeneities in regions where the velocity field exhibits a topological similarity to shock waves which constitutes the most essential element of the regular mechanism. The spectrum and spatial distribution of shock-accelerated particles propagating in a boundless medium are determined. The problem is generalized with allowance for the finiteness of the region in which acceleration occurs.

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