The Fading of Young Stellar Populations and the Luminosity Functions of Dwarf, Irregular, and Starburst Galaxies

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Abstract
Dwarf, irregular, and infrared-luminous starburst galaxies are all known to have "steep" luminosity functions with faint-end behavior roughly (L)∝L−1.8. This form is exactly what is expected if the luminosities of these objects fade with time as L∝t−1.3, because the objects spend more time at low luminosities than high, even if they form with a wide range of initial masses. Models of young stellar populations show this fading behavior when the star formation has occurred in a single, short, recent burst. Steep luminosity functions therefore do not require steep mass functions if the galaxies are powered by fading bursts. The local galaxy Hα luminosity function—which is less steep than L−1.8—is also well fitted by this mechanism, because ionizing photon flux fades much more quickly than broadband optical luminosity. An age-luminosity relation and a wavelength dependence of the luminosity function are both predicted. In the context of this mechanism, the slope of the luminosity function provides a constraint on the stellar initial mass function in the bursts.
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