Analytic models of the chemical evolution of galaxies

Astronomy and Astrophysics – Astronomy

Scientific paper

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Abundance, Astronomical Models, Chemical Evolution, Galactic Evolution, Interstellar Gas, Metallicity, Radioactive Isotopes, Star Formation, Star Formation Rate

Scientific paper

Techniques are described for constructing analytic models of the chemical evolution of galaxies subject to infall of metal-poor material onto a maturing disk. A class of linear models is discussed which takes the star-formation rate within a defined region to be proportional to the mass of interstellar gas within that region, and the instantaneous recycling approximation is adopted. The solutions are obtained by approximately matching the infall rate to parametrized familiies of functions for which the equations are exactly soluble. The masses, the primary and secondary metallicities, and the gas concentrations of radioactive chronometers can all then be analytically expressed. Surveys of galactic abundances in location and in time can be compared to the parameter spaces of the analytic representations.

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