Walter, FabianFabianWalterCarilli, ChrisChrisCarilliNeeleman, MarcelMarcelNeelemanDECARLI, ROBERTOROBERTODECARLIPopping, GergöGergöPoppingSomerville, Rachel S.Rachel S.SomervilleAravena, ManuelManuelAravenaBertoldi, FrankFrankBertoldiBoogaard, LeindertLeindertBoogaardCox, PierrePierreCoxda Cunha, ElisabeteElisabeteda CunhaMagnelli, BenjaminBenjaminMagnelliObreschkow, DanailDanailObreschkowRiechers, DominikDominikRiechersRix, Hans-WalterHans-WalterRixSmail, IanIanSmailWeiss, AxelAxelWeissAssef, Roberto J.Roberto J.AssefBauer, FranzFranzBauerBouwens, RychardRychardBouwensContini, ThierryThierryContiniCortes, Paulo C.Paulo C.CortesDaddi, EmanueleEmanueleDaddiDiaz-Santos, TanioTanioDiaz-SantosGonzález-López, JorgeJorgeGonzález-LópezHennawi, JosephJosephHennawiHodge, Jacqueline A.Jacqueline A.HodgeInami, HanaeHanaeInamiIvison, RobRobIvisonOesch, PascalPascalOeschSargent, MarkMarkSargentvan der Werf, PaulPaulvan der WerfWagg, JeffJeffWaggYung, L. Y. AaronL. Y. AaronYung2021-09-012021-09-0120200004-637Xhttp://hdl.handle.net/20.500.12386/31003We combine the recent determination of the evolution of the cosmic density of molecular gas (H<SUB>2</SUB>) using deep, volumetric surveys, with previous estimates of the cosmic density of stellar mass, star formation rate and atomic gas (H I), to constrain the evolution of baryons associated with galaxies averaged over cosmic time and space. The cosmic H I and H<SUB>2</SUB> densities are roughly equal at z ˜ 1.5. The H<SUB>2</SUB> density then decreases by a factor ${6}_{-2}^{+3}$ to today's value, whereas the H I density stays approximately constant. The stellar mass density is increasing continuously with time and surpasses that of the total gas density (H I and H<SUB>2</SUB>) at redshift z ˜ 1.5. The growth in stellar mass cannot be accounted for by the decrease in cosmic H<SUB>2</SUB> density, necessitating significant accretion of additional gas onto galaxies. With the new H<SUB>2</SUB> constraints, we postulate and put observational constraints on a two-step gas accretion process: (i) a net infall of ionized gas from the intergalactic/circumgalactic medium to refuel the extended H I reservoirs, and (ii) a net inflow of H I and subsequent conversion to H<SUB>2</SUB> in the galaxy centers. Both the infall and inflow rate densities have decreased by almost an order of magnitude since z ˜ 2. Assuming that the current trends continue, the cosmic molecular gas density will further decrease by about a factor of two over the next 5 Gyr, the stellar mass will increase by approximately 10%, and cosmic star formation activity will decline steadily toward zero, as the gas infall and accretion shut down.STAMPAenArticle10.3847/1538-4357/abb82ehttps://iopscience.iop.org/article/10.3847/1538-4357/abb82e2020ApJ...902..111WFIS/05 - ASTRONOMIA E ASTROFISICAERC sectors::Physical Sciences and Engineering::PE9 Universe sciences: astro-physics/chemistry/biology; solar systems; stellar, galactic and extragalactic astronomy, planetary systems, cosmology, space science, instrumentation