Diffusion and convection of relativistic electrons in non-thermal sources - Steady-state solutions

Statistics – Computation

Scientific paper

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Computational Astrophysics, Convection, Electron Diffusion, Galactic Nuclei, Nonthermal Radiation, Relativistic Electron Beams, Compton Effect, Electron Density (Concentration), Electron Energy, Energy Distribution, Steady State, Synchrotron Radiation, Transport Theory

Scientific paper

The author studies the propagation of relativistic electrons in stationary spherically-symmetric models of non-thermal sources. Electrons are injected by a collapsed object in the centre and then diffuse away in the presence of a flux of accreting matter. The electron density is calculated taking into account both the outward diffusion and the inward convection: it is assumed that the diffusion coefficient and the velocity field have a power dependence on the radial coordinate. The transport equation is solved for the particular case where the electron energy is constant; the case in which the particles suffer synchrotron or inverse-Compton losses is treated. The effects due to the convection are then discussed in comparison with the purely diffusive case.

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