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arXiv · astro-ph/0310465

The thermal and kinematic Sunyaev-Zel'dovich effects revisited

A. Sandoval-Villalbazo·L. S. Garcia-Colin
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Abstract

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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A. Sandoval-Villalbazo, L. S. Garcia-Colin. 2003-10-16. The thermal and kinematic Sunyaev-Zel'dovich effects revisited. https://doi.org/10.1007/s10714-005-0068-1

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