Mon.Not.R.Astron.Soc.000,000–000 (0000) Printed23January2013 (MNLATEXstylefilev2.2) On the Evolution of the Bi-Modal Distribution of Galaxies in the Plane of Specific Star Formation Rate versus Stellar Mass 3 1 B. C. Ciambur 1⋆, G. Kauffmann 1, S. Wuyts 2 0 2 1 Max Planck Institute for Astrophysics, Karl Schwarzschild Str. 1 85748 Garching, Germany 2 Max Planck Institute for Extraterrestrial Physics , Giessenbach Str. 1 85741 Garching, Germany n a J 23January2013 1 2 ABSTRACT ] A G Wehavecomparedtheobserveddistributionofgalaxiesintheplaneofspecificstar formation rate versus stellar mass with the predictions of the Garching semi-analytic . h modelatredshifts 0,1 and2.The goalis to test whether the implementationof radio p mode AGN feedback, which is responsible for terminating the formation of stars in - highmassgalaxies,providesanadequatematchto currenthigh-redshiftobservations. o Thefractionofquenchedgalaxiesasafunctionofstellarmassinthemodelsisingood r t agreementwithdataatz=0andz=1.Byz=2,therearetoofewquenchedgalaxieswith s a low stellar masses in the models. At z=2, the population of galaxies with no ongoing [ starformationisclearlyseparatedfromthe‘mainsequence’ofstar-forminggalaxiesin thedata.Thisisnotfoundinthemodels,becausez=2galaxieswithstellarmassesless v1 than∼1011M⊙ arepredictedtohostblackholeswithrelativelylowmasses(lessthan 5 108M⊙). The current implementation of radio mode feedback from such black holes 2 reduces the cooling rates from the surrounding halo, but does not generate sufficient 0 energytostopstarformationentirely.Wesuggestthatthemodelsmaybebroughtinto 5 betteragreementwiththedataifblackholegrowthistriggeredbydiscinstabilitiesin . additionto majormergers,andiffeedbackmechanismsassociatedwiththe formation 1 of galactic bulges act to quench star formation in galaxies. 0 3 Key words: galaxies: evolution – galaxies:active – galaxies: high-redshift. 1 : v i X 1 INTRODUCTION cupy a different, but well-defined region of the SFR - mass r a plane. These objects can be understood from the point of Deep galaxy surveys have revealed that in star-forming viewoftheirhistories:theyarelikelytheremnantsofmajor galaxies, starformation rateiscorrelated with stellar mass, mergersbetweenstarforminggalaxies.Suchmergersdestroy giving rise to a relation referred to as the ‘main sequence disksand producebulges, and lead to starbursts if the pro- of star-forming galaxies’ (Daddiet al. (2007); Noeske et al. genitors are gas-rich. The merger may drive accretion onto (2007)). This relation displays time evolution – galaxies of a central supermassive black hole, thustriggering an active fixed mass form stars at progressively lower rates at later galactic nucleus (AGN). The effect of the consumption of times. The scatter around the relation is quite small (∼ gas into stars during the merger and feedback from super- 0.3 dex) and exhibits little redshift dependence. The pic- novaeandAGN‘quench’thesemassivesystems,shuttingoff ture which emerges from this is that the star formation theirstar formation and thusreddeningtheir colours. histories of most star-forming galaxies have been relatively quiescent.Longer periodsofcontinuousstarformation may In this paper, we compare the distribution of galax- be interspersed with short periods of elevated star for- ies in the specific star formation rate - stellar mass plane mation (starbursts) resulting from interactions or mergers from three different observational galaxy catalogues with (Kauffmann et al. (2006)). The bursts are thought to con- predictions from the Guo et al. (2011) semi-analytic model tributeto thescatter around themain sequence. of galaxy formation and evolution. We do this for three Incontrast,massivegalaxiesthatare‘redanddead’oc- redshift intervals to analyse the evolution of this relation and to understand the key processes which lead to it. Al- thoughsatellite galaxies inclusters mayhavetheirstarfor- ⋆ Email:[email protected] mation inhibited due to the removal of their gas reservoir (cid:13)c 0000RAS 2 B. C. Ciambur, G. Kauffmann, S. Wuyts by ram-pressure stripping or tidal interactions with their Table 1. Number of objects in each field. In the case of the neighbours(calledsatellitequenching),thisprocesspertains GOODS-SandUDS,thefinalnumberofgalaxiesafterthestellar to a relatively small fraction of the more massive galaxies. masscutisdisplayedalongwiththeinitial,totalnumber. Inthesemi-analytic models,themaindriverofthequench- ing of very massive galaxies is AGN ‘radio mode’ feedback Redshift SDSS UDS GOODS-S (Croton et al. (2006), hereafter C06). This mechanism in- jects energy into the gas surrounding the galaxy, prevent- ∼0 10456 - - ing it from cooling, condensing onto the galaxy and subse- ∼1 - 975/8033 748/5467 quentlyformingstars.Theefficiencyofthistypeoffeedback ∼2 - 1000/6649 554/3763 is dependent on the amount of gas in a hot phase within the halo (this is higher for more massive haloes), as well as on the mass of the accreting black hole, which in turn depends on the host galaxy’s merger history. Because both such as stellar masses and SFRs. We refer the reader to haloes and black holes form hierarchically through merg- theirpaperforfurtherdetails. W11constructedSFR-stel- ers in the models, it is therefore important to check that larmassplanesandstudiedthevariationofstructuralprop- sufficient massive haloes and black holes have had time to ertiesofgalaxiesacrosstheplane,findingforexampleaclear growandproducetheobservedproportionofmassive,quies- separation between the two galaxy populations in terms of cent galaxies at high redshifts (e.g. McCarthy et al. (2004); Sersic index. Toft et al. (2009); Williams et al. (2010)). Such a compari- In our work, we make use of the W11 data with a cut soncanthereforebeausefultooltoprobethisaspectofthe in stellar mass at M⋆ =1010M⊙,abovewhich thetwo deep model. samplesarecomplete.Thenumberofgalaxiesineachofthe redshift binsis shown in Table 1. 2 DATA 2.1 Observational Datasets 2.2 Semi-analytic model The galaxy samples in this work were drawn from several surveys and three redshift bins were considered. The shal- TheGarching semi-analytic model simulates galaxies start- lowest sample, with galaxies in a redshift interval of 0.025 ing from themerger trees of dark matter haloes of the Mil- < z < 0.05 and referred throughout as z ∼ 0 , was drawn lennium Run (Springel et al. (2005)). The latter is a cos- from data as used in Wang et al. (2011) - a catalogue con- mological, N-body,dark matter only simulation with 21603 structed by matching galaxies with stellar masses greater particles in a box 500 Mpc/h in size. The cosmological pa- than 1010M⊙ from the sixth data release (DR6) of the rameters used were based on a combined analysis of the Sloan Digital Sky Survey (SDSS) (Yorket al. (2000)) with 2dFGRS (Colless et al. (2001)) and the first-year release thefourthdatareleaseoftheGALEXsurvey(Martin et al. WMAP data (Spergel et al. (2003)) and are as follows: Ωm (2005)). = 0.25, Ωb = 0.045, ΩΛ = 0.75, σ8 = 0.9, n = 1 and H0 The deeper samples were based on those used by =73kms−1Mpc−1.Thesemi-analyticmodelpopulatesthe Wuytset al.(2011),hereafterreferredtoasW11.Theywere haloes with galaxies, which evolve according to the merger drawnfromtheGOODS-SandUDScatalogues,asdescribed histories of their parent haloes as well as according to ana- intheirpaper.Eachofthesetwocataloguescontainedgalax- lytic‘recipes’governingthebaryonicphysics.Theseinclude ies separated in two bins of redshift, namely 0.5 < z < 1.5 gas cooling, star formation, supernova and AGN feedback, and 1.5 < z < 2.5. They are referred throughout as z ∼ 1 chemical enrichment, and the effects of galaxy interactions and z ∼ 2, respectively. The UDS catalogue was based on on star formation and bulge formation. datafromseveraldifferentsurveys(CosmicAssemblyNear- The version of the model used in this analysis is that infrared Deep Extragalactic Legacy Survey (CANDELS), of Guo et al. (2011). The galaxy parameters used in this Grogin et al. (2011); Koekemoer et al. (2011); Spitzer Ex- work were retrieved from thepublicly available Millennium tendedDeepSurvey(SEDS),PI:G.Fazio; UltraDeepSur- database (Lemson & Virgo Consortium (2006)). Two out- vey(UDS),PI:O.Almaini;SpUDS-aSpitzerpubliclegacy puts of this model are available on the database: one as- programontheUDS,PI:J.Dunlop)andground-baseddata, sociated with the Millennium simulation (described above) on an area of ∼ 200 arcmin2, which constituted the UDS and a second with Millennium II (Boylan-Kolchin et al. area covered by CANDELS (see Galametz et al. (in prep.) (2009)),whichisahigh-resolutionversionoftheformerwith for details on the photometric catalogue and W11 for the the same cosmological parameters and particle numberbut derivedstellar population properties). TheGOODS-Scata- withinasimulationbox100Mpc/hinsize.Hereweusedthe loguewasconstructed inasimilar way,onanarea from the outputsresulting from theMillennium merger trees, dueto GOODS-Southfield(GreatObservatoriesOriginsDeepSur- the fact that this simulation contains a larger number of vey,a148arcmin2 areacentredontheChandraDeepField massivegalaxies.Inordertoassuregoodresolutiontowards South) covered by CANDELS-Wideand CANDELS-Deep. thelower mass end,a cut was madeon thenumberof dark Wherepossible,W11estimatedthestarformationrates matter particles per halo, i.e. Np ≥ 300. This did not af- using combined ultraviolet and mid-infrared or far-infrared fectanyresultsforgalaxieswithstellarmassesgreaterthan photometry. For objects lacking an infrared detection, they 1010M⊙.Cataloguesfromthreesimulationsnapshotsclosest used stellar population synthesis model fits to the UV-to- inredshifttothethreeobservationaldatasetswereretrieved, 8 µm spectral energy distributions to estimate parameters corresponding to z=0, 0.99 and 2.07. (cid:13)c 0000RAS,MNRAS000,000–000 The Galaxy Bi-Modality Evolution in the sSFR - M Plane 3 Figure 1. Conditional density distributions of specific star formation rate (sSFR) versus stellar mass, as calculated in equation 1. Resultsareshownforredshift2(left),redshift1(middle)andredshift0(right).Forthetwohigherredshiftbinsthepanelsareordered, fromtoptobottom:Guoetal.model,UDSdata,GOODS-Sdata.Forthez ∼0panelsontheright-handside,thetopplotisbasedon themodelwhilethebottom onSDSSdata. Figure 2.HistogramsofsSFRatfixedstellarmass.Forclarity,onlyfiveoutofthetenmassbinsareplottedineachpanel.AsinFig. 1, forthetwo higher redshiftbins thepanels areordered, fromtop tobottom: Guoet al.model,UDSdata, GOODS-Sdata. Forthe z ∼0panelsontheright-handside,thetopplotisbasedonthemodelwhilethebottom onSDSSdata. (cid:13)c 0000RAS,MNRAS000,000–000 4 B. C. Ciambur, G. Kauffmann, S. Wuyts 3 ANALYSIS AND RESULTS 3.1 sSFR - Mass planes We first converted the log(SFR) - log(M⋆) density plots in W11intolog(sSFR)-log(M⋆)densityplots,i.e.starforma- tionrateperunitmassorspecificstarformationrate(sSFR) asafunctionofstellarmass.Thespecificstarformationrate is a measure of the time taken by a galaxy to form its stel- lar mass at its current star formation rate. This quantity allowsforaclearerseparationbetweenthestar-formingand quiescent populations, as will be seen later. Next,all massbinswere normalised tounity,usingthe equation N(x,y) N′(x,y)= (1) N(x,y′)dy′ R whereN(x,y)representsthecountatposition(x,y),withx ≡M⋆ andy ≡sSFR.N′ isthenormalisedcount,thequan- tity plotted in Fig. 1. Thisallowedforaneasiercomparisonbetweenthedataand the model, removing the need to scale by the volume of the survey, which, in some cases was unknown. It also al- lowsustovisualizethebi-modalityofthepopulationonthe densityplotsmoreeasily (seeKauffmann et al.(2003)).We Figure 3. The fraction of quenched galaxies as a function of note that model galaxies with sSFR=0 were randomly re- stellar mass. The red line with no symbols, which corresponds assigned avaluecorrespondingtothelocusofthequenched tothemodel,includessSFR=0galaxiesfromthesimulationin populationinthedata.Thiswasdoneinordertoaccountfor thequenchedpopulation.Theerrorbarsonthedatapointswere the fact that the observations always have a lower thresh- computedusingbootstrapresampling. old in sSFR, set by the range of models used in the SED fitting.Theeffect ofthis was negligible at high redshift but more important at z ∼ 0, where AGN feedback completely halts star formation in a significant number of galaxies in tions,and whethermodeland observationsevolvethesame thesimulations. way as a function of redshift. Fig.1showsthatthesemi-analyticmodelisinqualita- AseparationbetweenthetwopeaksinsSFRwasmade tive agreement with the data in that there is a clear main visuallyandaGaussianwasfittedtothestar-formingpeak; sequence of star forming galaxies and another separated the Gaussian was subtracted from the total distribution population of massive, red and dead galaxies. A more de- (whichwasbyconstructionnormalisedtounity),leavingthe tailedcomparisonrevealsthatathighredshiftsthemainse- remaindertobeinterpretedasthequenchedfraction.Figure quenceappearstolieatlowersSFRcomparedwiththedata. 3 shows the quenched fraction for both data and model at This discrepancy is well-documented in the literature (e.g. various stellar masses and redshifts. The error bars on the Damen et al. (2009)). Further, in the models the quenched data were computed by bootstrap-resampling the original peakappearstobelocatedveryclosetothemainstarform- distribution(500bootstrap subsetswereused).Overall,the ing sequence at early times and then travels down in time modelagreesqualitativelywiththeobservations.Atredshift towards lower starformation rates. Intheobservations, the ∼0,themodelslightlyunderpredictsthequenchedfraction quenched galaxies are well separated from the star-forming at high masses whereas at higher redshift, the model un- ones even at z ∼ 2. derpredicts the fraction at low masses and overpredicts it at high masses. This, taken in conjunction with the infor- mation in Figure 2, leads to conclude that the bi-modality persists in the data over a broad mass range, whereas the 3.2 Quenched fractions as functions of stellar modelonlytendstobebi-modaloveramassintervalwhich mass narrows progressively with increasing redshift (at z ∼2 the transition is quitesharp at M⋆ =1011−11.2M⊙). Outsideof In order to quantify the evolution of the quenched popu- thisinterval, a single mode is preferred. lation with redshift, the sSFR-M⋆ plane was divided into slices of constant stellar mass and histograms of the sSFR distribution at fixed mass were constructed (Fig. 2). These 3.3 Peak separation and its evolution histograms can easily bedecomposed intotwo components: onepeakcorrespondingtothestar-forminggalaxies,andthe Althoughthequenchedfractions indicateaqualitativesim- remainder corresponding to the quenched population. The ilarity between the model and the observations, they are objective of this exercise is to compute the fraction of the notsensitivetotheexactshapesofthedistributions,orthe population in the quenched state, per stellar mass bin, and separationbetweenthestar-formingmainsequenceandqui- ascertain whether the model fraction matches the observa- escent peaks, which is visibly different between model and (cid:13)c 0000RAS,MNRAS000,000–000 The Galaxy Bi-Modality Evolution in the sSFR - M Plane 5 thequenchedfraction increases significantly towards higher masses).Incontrasttothis,inthemodelsthequenchedpop- ulationbecomesprogressivelymoreseparatedfromthestar- formingpopulationtowardslowerredshifts.Inaddition,the quenchedpopulation ofhighredshift galaxiesin themodels isconfinedtogalaxieswithhigherstellarmassesthanatlow redshifts. Let us now consider the implementation of the AGN ‘radio-mode’ feedback mechanism in the models. This type of black hole activity results from accretion of hot gas from a static halo around the host galaxy, described in detail by C06: M˙BH =κ108MMB⊙Hh−1(cid:18)200Vkvmirs−1(cid:19)3f0h.o1t (2) Figure 4. The separation between the star-forming main se- quenceandthequenchedpeakinunitsoflogsSFR,asafunction where MBH is the mass of the black hole, Vvir is the virial of redshift.As inFig. 3, the error bars werecalculated by boot- velocityoftheparentdarkmatterhalo(orsubhalo)andfhot strapre-sampling. isthefraction ofthetotalhalo/subhalomassintheformof hot gas. Here κ is a free parameter which controls the effi- ciencyofaccretion,anditistakentobe1.5×10−5M⊙yr−1. data in Figure 1 at higher redshifts. The evolution of the The black hole luminosity is given by: mean peak separation (averaged over all stellar masses) is shown in Fig. 4. It is noteworthy that the general trend in the data is opposite to that in the model. In the obser- LBH =ηM˙BHc2 (3) vations, the star-forming main sequence and the quenched where η = 0.1 is the efficiency with which mass produces populationarewellseparatedathighredshiftandgradually energyneartheeventhorizon.Theeffectofthisaccretionis approacheachotherwithtime.Thisapproachismainlydue assumed to be injection of heat into the surrounding envi- tothedecreaseinstarformation rateonthemain sequence ronment, preventing gas to cool, condense onto the galaxy at lower redshifts. In the model, there is a slight increase and form stars. The effective cooling rate of gas is then af- in the separation of the peaks with time. This is caused by fected in the following way: the fact that residual star formation rates in the quenched populationarelargerathighredshiftsthanatlowredshifts. M˙cool,eff =M˙cool− 1LVBH2 (4) 2 vir 4 DISCUSSION AND CONCLUSIONS This feedback mechanism is assumed to be quiescent and continual and is most effective at late times and for We havecompared the distribution of galaxies in the plane high black hole masses. In equation 2, fhot has little effect of specific star formation rate versus stellar mass with the ontheaccretion rateandisapproximatelyconstantforVvir predictions of the Garching semi-analytic model, for three ≥150kms−1 atredshift0,asshowninC06.(Wenotethat redshift bins. Ourmain findingsare listed below. because this threshold in Vvir is actually at a fixed value of i.) There is qualitative agreement between models and Mvir, it evolves as (1+z)21) . This means that gas cooling datainthatthereisawell-separatedmainsequenceofstar- suppression,and hencequenching,dependsmostly on MBH forming galaxies at low stellar masses and a quenchedpop- andVvir,whichinturndependonthehistoryofthegalaxy’s ulation at higher masses at all three redshifts in the semi- parent halo. analytic models. The top three rows of Fig. 5 illustrate the average ii.) The fraction of quenched galaxies as a function of Mbulge/M⋆ratio,MBH andVvirformodelgalaxiesasafunc- stellarmassinthemodelsisingoodagreementwithdataat tion of position in the sSFR - M⋆ plane. The bottom row z=0.Athigherredshifts,therearetoofewquenchedgalaxies representsthedistributionofMBHandVvir,colour-codedby with low stellar masses in themodels. sSFR. At a given redshift, the quiescent galaxies are more iii.) The evolution in the separation between the star- bulge-dominated,hostmoremassiveblackholes1 andreside formingandquenchedpopulationsisnotreproducedbythe in haloes with larger virial velocities than the star-forming models. In the data, the separation decreases towards low ones. The trends of the latter two parameters with redshift redshift, whereas the the models it remains roughly con- goinoppositedirections:atafixedlocationinthesSFR-M⋆ stant. plane,blackholemassesgrowintime,butthevirialvelocity Perusal of Figure 1 shows that in the observations, ofthehalodecreasesingeneral.Thebottomrowshowsthat the quenched population gains more and more members as time progresses, but it remains clearly separated from the star forming population even at early times. Moreover, 1 Thereisanexceptiontothisifthegalaxyinquestionhasunder- it is clear that in the observations, the quenched popu- gonearecentgas-richmerger.Inthiscasethereisalsoastarburst lation extends across the entire stellar mass range from associated withthe mergerwhichboosts the starformationrate 1010M⊙ to ∼ 2 × 1011M⊙ at all redshifts (even though ofthegalaxy. (cid:13)c 0000RAS,MNRAS000,000–000 6 B. C. Ciambur, G. Kauffmann, S. Wuyts Figure5.AveragegalaxypropertiesacrossthesSFR-M⋆ planes,andthedependence ofquenchingonblackholemassandhalovirial velocity.TheupperthreerowscorrespondtothesSFR-M⋆ planeswithconditionaldensityofgalaxiesfromtheobservational datasets (asinFig.1)overplottedastheblackemptycontours.Thefilledcontoursmapthedistributionofaveragebulgemasstototalmassratio (upper row), black hole mass (second row) and virial velocity (third row). The bottom row shows the distribution of MBH and Vvir, colour-codedbysSFR.Everyrowhasfixedcontour levelstoillustratetheredshiftevolutionofthequantities inquestion. at z=2, the dynamic range in specific star formation rate drivenbygalaxymergers,particularlymajormergers.There across the Vvir versus MBH plane is much smaller than at are however other viable black hole feeding mechanisms, z=0.Itcanbeconcludedthat,withoutadditionalquench- such as disc instabilities or deviations from axisymmetry ing mechanisms, a stronger dependence of the feedback on (Bournaud et al. (2011)), that could play a role, especially Vvir and/or a weaker dependenceon MBH (with the appro- at higher redshifts, where star-forming galaxies are more priatere-adjustmentof κ)at z=2might improvethepeak gas-rich and so more likely to undergo such processes. In separation discrepancy. Favouring Vvir over MBH in equa- theGuoetalmodels,lowmassbulgesareproducedbydisk tion2wouldleadtostrongerfeedbackatearlytimes,where instabilities, but black hole growth does not occur during halovirial velocities are high andblack holemasses arelow this process. The black hole mass vs. stellar mass relation compared to theirpresent values. predicted by the model, for z ∼ 2, is plotted in Figure 6 Imposing an ad hoc redshift dependence on the equa- togetherwithobservationaldatatakenfromSimmons et al. tionsthatgovernso-calledradio-AGNfeedbackiscertainly (2012).Atlowstellarmasses,blackholesareslightlyunder- not ideal. Another possibility is to modify the black hole massive by about ∼ 0.5 dex on average compared to obser- growth model. As can be seen from Figure 6, the z ∼ 2 vations,thoughtowardsthehighmassendtheagreementis quenchedpopulationofgalaxieswithstellarmasseslessthan good.Inaddition,asseenfromthecountoursinFigure6,at ∼ 1011M⊙, should arise from feedback by black holes with allstellarmasseslessthan2×1011M⊙,themodelspredicta massesof∼106−107M⊙.Blackholegrowthinthemodelis tailofblackholesthatscattertomassesmorethanafactor (cid:13)c 0000RAS,MNRAS000,000–000 The Galaxy Bi-Modality Evolution in the sSFR - M Plane 7 of10belowthemean.Thisisnotseeninthedata.Asecular black hole growth mechanism associated with disk instabil- ities may help boost the average mass of this population, resulting in more efficient quenching. In addition, quenching mechanisms other than radio- AGN feedback may be required. In the local Universe, the frequencyoflarge-scale FRI-typeradiojetsingalaxieswith low mass black holes is extremely low (Best et al. (2005)). Almostallactivegalacticnucleiwithblackholesofthismass are Seyfert galaxies or quasars, where much of the energy liberated during black hole accretion emerges at ultraviolet oropticalwavelengths.Itmaythusbenecessarytoconsider so-called ‘quasarmode’feedback.Inthemodels,thequasar accretion mode occurs during gas-rich mergers, when pro- genitorblackholesform throughtherapidaccretion ofcold gas.Thereisastarburstresultingfromthemerger,whichis visible is thesecond panel of Figure 5 as aband of galaxies withhighspecificstarformationratesandblackholemasses, Figure 6. The relation between galaxy central black hole mass andthemergerremnantformsagalacticbulge.Themerger andstellarmassatredshift∼2.Thefilledcontoursrepresentthe consumes most of the gas, and supernovae eject gas from model predictions while the green data points are observational resultscorrespondingtogalaxiesinaredshiftintervalof1.5≤z≤ the galaxy and from the halo. 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