The thermal and kinematic Sunyaev-Zel'dovich effects revisited

Details The thermal and kinematic Sunyaev-Zel'dovich effects revisited The thermal and kinematic Sunyaev-Zel'dovich effects revisited

2003-10-16

arxiv.org/abs/astro-ph/0310465v1

Gen.Rel.Grav. 37 (2005) 831-836

Astronomy and Astrophysics

Astrophysics

7 pages, 2 figures

Scientific paper

10.1007/s10714-005-0068-1

This paper shows that a simple convolution integral expression based on the mean value of the isotropic frequency distribution corresponding to photon scattering off electrons leads to useful analytical expressions describing the thermal Sunyaev-Zel'dovich effect. The approach, to first order in the Compton parameter is able to reproduce the Kompaneets equation describing the effect. Second order effects in the parameter $z=\frac{kT_{e}}{mc^{2}}$ induce a slight increase in the crossover frequency.

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