The Inflow and Outflow Rate Evolution of Local Milky Way-mass Star-forming Galaxies since z=1.3

We study the gas inflow rate (zeta(inflow)) and outflow rate (zeta(outflow)) evolution of local Milky Way-mass star-forming galaxies (SFGs) since z = 1.3. The stellar mass growth history of Milky Way-mass progenitor SFGs is inferred from the evolution of the star formation rate (SFR)-stellar mass (M-*) relation, and the gas mass (M-gas) is derived using the recently established gas-scaling relations. With the M-* + M-gas growth curve, the net inflow rate kappa is quantified at each cosmic epoch. At z similar to 1.3, kappa is comparable with the SFR, whereas it rapidly decreases to similar to 0.15 x SFR at z = 0. We then constrain the average outflow rate zeta(outflow) of progenitor galaxies by modeling the evolution of their gas-phase metallicity. The best-fit zeta(outflow) is found to be (0.5-0.8) x SFR. Combining kappa and zeta(outflow), we finally investigate the evolution of zeta(inflow) since z = 1.3. We find that zeta(inflow) rapidly decreases by similar to 80% from z = 1.3 to z = 0.5. At z < 0.5, zeta(inflow) continuously decreases but with a much lower decreasing rate. Implications of these findings on galaxy evolution are discussed.