Fluctuations in the ionizing background

Mathematics – Probability

Scientific paper

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Big Bang Cosmology, Intergalactic Media, Ionization, Lyman Alpha Radiation, Quasars, Variations, Absorption Spectra, Astronomical Models, Probability Distribution Functions, Red Shift

Scientific paper

A formalism is derived to deal with the fluctuations in the ionizing field produced by randomly distributed sources in an expanding universe as well as in a Euclidean space. The probability distribution function P(J) is calculated for some models. Absorption by QSO absorption-line systems reduces the total number of sources involved in producing J and therefore enhances the fluctuations significantly. The possibility of detecting the 'clearings' or 'voids' in Ly-alpha forests is studied, and it is very difficult to distinguish statistically between a real clearing and a large gap produced merely by fluctuations in the line distribution. High-redshift quasars and weak Ly-alpha forest lines should be involved in searching for the clearings.

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