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

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Abstract

In this paper we study 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. We calculate the electron density 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. In Section 3 the transport equation is solved for the particular case where the electron energy is constant; while Section 4 treats the case in which the particles suffer synchrotron or inverse-Compton losses. The effects due to the convection are then discussed in comparison with the purely diffusive case.

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Authors and Affiliations

  1. Istituto Astronomico, Università di Roma, Italy

    E. Massaro

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  1. E. Massaro
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Massaro, E. Diffusion and convection of relativistic electrons in non-thermal sources: Steady-state solutions. Astrophys Space Sci 108, 369–381 (1985). https://doi.org/10.1007/BF01068262

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  • DOI: https://doi.org/10.1007/BF01068262

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