The Sunyaev-Zel'dovich effect and cluster evolution

Physics

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Astronomical Models, Cosmic Rays, Galactic Clusters, Galactic Evolution, Galactic Structure, Cosmic Background Explorer Satellite, Distribution Functions, Formalism, Nonthermal Radiation, Power Spectra, Spectrum Analysis, Temperature Distribution

Scientific paper

We discuss methods of using the Sunyaev-Zel'dovich effect for studying galaxy cluster evolution and the formation of large-scale structure in a flat universe. We consider density perturbation spectra P(k) proportional to kn for n = -1, normalized both to the Cosmic Background Explorer Satellite (COBE) data and to the X-ray cluster temperature distribution, and n = -2, normalized to the X-ray temperature function. Using the Press-Schechter formalism and a variety of models describing the physics of the intracluster medium, we calculate the distribution function of Compton y-values, source counts of clusters, and the cumulative effect of the entire cluster population on the spectrum and anisotropy of the cosmic microwave background. As a consequence of the evolution favored by recent X-ray data, the Compton y distribution function should display negative evolution. Our results imply that the rms cosmic microwave background temperature fluctuations due to distant clusters are of order approximately 10-5, that the unbiased cold dark matter scenario predicts temperature fluctuations on arcminute scales comparable to recent limits, and that the largest spectral distortion caused by clusters is below COBE's sensitivity.

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