Abstract
The formation of steady-state spectra of radiation or particles by Compton scattering is discussed for the case when the flux from the source is present. Power-law distributions, or those characterized by a power-law asymptotic behaviour, can appear under these conditions.
The power indices and normalizations have been found as well as the flux directions for the electron and photon distributions in two cases. The first case is that of differential energy transfer over the electron spectrum (interaction with soft radiation). For the case of integrated transfer, relations have been found between the indices.
The possibility of a power-law electron spectrum (with an index γ=2) has been shown for scattering by equilibrium radiation (the black-body background included).
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Kats, A.V., Kontorovich, V.M. & Kochanov, A.E. The spectra of radiation and relativistic electrons formed by Compton scattering at non-zero particle fluxes. Astrophys Space Sci 57, 347–370 (1978). https://doi.org/10.1007/BF00639329
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DOI: https://doi.org/10.1007/BF00639329