Open this publication in new window or tab >>2024 (English)In: Monthly notices of the Royal Astronomical Society, ISSN 0035-8711, E-ISSN 1365-2966, Vol. 536, no 1, p. 603-608Article in journal (Refereed) Published
Abstract [en]
In many astrophysical systems, photons interact with matter through thermal Comptonization. In these cases, under certain simplifying assumptions, the evolution of the photon spectrum is described by an energy diffusion equation such as the Kompaneets equation, having dependencies on the seed photon temperature, theta(i), the electron temperature, theta e, and the Compton y-parameter. The resulting steady-state spectrum is characterized by the average photon energy and the Compton temperature, which both lack analytical dependencies on the initial parameters. Here, we present empirical relations of these two quantities as functions of theta(i), theta(e), and y, obtained by evaluating the steady-state solution of the Kompaneets equation accounting for energy diffusion and electron recoil. The relations have average fractional errors similar to 1 per cent across a wide range of the initial parameters, which make them useful in numerical applications.
Place, publisher, year, edition, pages
Oxford University Press (OUP), 2024
Keywords
radiation mechanisms: general, methods: miscellaneous
National Category
Astronomy, Astrophysics and Cosmology
Identifiers
urn:nbn:se:kth:diva-358727 (URN)10.1093/mnras/stae2664 (DOI)001375148300001 ()
Note
QC 20250121
2025-01-212025-01-212025-01-21Bibliographically approved