Formation and evolution of early distortions of the microwave background spectrum - A numerical study

Computer Science – Numerical Analysis

Scientific paper

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Microwave Emission, Microwave Spectra, Red Shift, Relic Radiation, Thermalization (Energy Absorption), Analytic Functions, Baryons, Compton Effect, Cosmology, Numerical Analysis

Scientific paper

The results are presented of an extensive numerical study on the formation and evolution of early distortions of the microwave background spectrum. The thermalization redshift, Z(therm), of arbitrary amounts of energy has been accurately determined. Simple formulae, yielding Z(therm) as a function of the baryon density and of the chemical potential are given. The process of relaxation to a stationary spectrum is investigated in detail; several earlier conclusions are revised. An analytic formula which provides a very accurate description of the final stationary spectrum is presented and used to reassess the observational constraints on the chemical potential. Simple formulae are given, yielding, as a function of the baryon density and of the chemical potential, the wavelength at which the maximum distortion occurs and the amplitude of the distortion.

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