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26 April 2024
 
  » arxiv » 1007.3743

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Balancing Outflows and Gas Dilution: The Mass-Metallicity Relation at z=0
Molly S. Peeples ; Francesco Shankar ;
Date 21 Jul 2010
AbstractWe present a new formalism with which to understand the relation between galaxy stellar mass and gas-phase oxygen abundance that explicitly considers the mass-dependence of galaxy gas fractions and outflows. By assuming that galaxies populate zero-scatter relations between their stellar masses, gas fractions, metallicities, outflow efficiencies, and halo properties, we show that if metal-accretion is negligible, then a galaxy’s gas-phase metallicity Zg can be simply expressed as Zg=y[zetaw+alpha*Fg+1]^-1, where y is the nucleosynthetic yield, zetaw is a term describing the efficiency with which the galaxy expels its metals, Fg is the gas-to-stellar mass ratio, and alpha is a factor of order unity. We apply this formalism to z~0 observations to show that reproducing observed oxygen abundances simultaneously with observed galaxy gas fractions requires efficient outflows. Without winds, models that match the mass-metallicity relation have Fg>=0.3 dex higher than observed. Moreover, gas fractions at z=0 are small enough the mass-metallicity relation does not depend sensitively on the exact slope of the Fg-Mstar relation. Successful models require metal-expulsion efficiencies that are high and scale steeply with mass. Specifically, most reasonable models require zetaw>1 and zetaw proportional to vvir^-3 or steeper, where zetaw=(Zw/Zg)(Mw/MSFR) is the metallicity-weighted mass-loading parameter, Zw is the metallicity of the outflowing material, Mw is the mass outflow rate, and MSFR is the star formation rate. If the unweighted mass-loading factor etaw=Mw/MSFR scales as vvir^-1 or vvir^-2 as has been suggested from momentum- or energy-driven models, then a steep mass-dependence of zetaw implies that the Zw-Mstar relation should be shallower than the Zg-Mstar relation.
Source arXiv, 1007.3743
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