Exact kinetic transport equation solutions in the particle propagation theory in the scattering medium |
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Authors: | B.A. Shakhov |
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Affiliation: | a Main Astronomical Observatory, NAS, 252650 Kiev, Ukraine b Institute of Experimental Physics, SAS, Watsonova 47, 04001 Košice, Slovakia |
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Abstract: | Charged particle kinetics in an inhomogeneous medium (stochastic magnetic field) is investigated. Exact analytic expressions for Green function of kinetic equation in relaxation-time approximation are derived in one and three dimensions with arbitrary particle absorption. We separately consider the case of isotropic particle injection as well as the case of unidirectional instantaneous particle injection. The new way of solution makes it possible to get off any Cauchy-Principal Value integrals in some solutions which arise in the inverse Fourier-Laplace transform. Weak scattering regime and diffusion approximation is considered, and particle density is derived in three dimensions and arbitrary particle source. |
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Keywords: | Transport processes Particle kinetics Relaxation-time approximation |
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