Clumpy winds and the obscuration of Active Galactic Nuclei
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The role of star-formation driven outflows in the obscuration of the central source in the Active Galactic Nuclei (AGN) is discussed. The outflow from a sub-parsec scale accretion disc is numerically modelled for parameters appropriate to the Galactic Cent
Mon.Not.R.Astron.Soc.000,000–000(0000)Printed5February2008
A(MNLTEXstyle lev2.2)
ClumpywindsandtheobscurationofActiveGalactic
Nuclei.
SergeiNayakshin1 andJorgeCuadra2
arXiv:astro-ph/0602366v1 16 Feb 2006
1Department
2Max-Planck-Institut
ofPhysics&Astronomy,UniversityofLeicester,Leicester,LE17RH,UK
f¨urAstrophysik,Karl-Schwarzschild-Straße1,85741GarchingbeiM¨unchen,Germany
5February2008
ABSTRACT
Theroleofstar-formationdrivenout owsintheobscurationofthecentralsource
intheActiveGalacticNuclei(AGN)isdiscussed.Theout owfromasub-parsecscaleaccretiondiscisnumericallymodelledforparametersappropriatetotheGalacticCentre.Theresultingobscurationpatternisverypatchy,withsomelinesofsightbecomingopticallythicktoThomsonscattering.A xedobserverwouldseecolumndepthchangingbyfactorsofmanyovertimescalesofordermonthstohundredsofyears,dependingonthephysicalsizeoftheout owregion.SuchwindsmayberelevantforobscurationofsomeAGNandespecially“changinglookAGN”.However,averagedovertheskyasseenfromthecentralsource,thesewindsarealwaysopticallythinunlesswindout owratesaresuper-Eddington.Asimplescalingargumentshowsthatthisistruenotonlyforstellar-drivenwindsbutforanyAGNwinds.WethereforeconcludethatAGNwindsareunabletoaccountforthevastmajorityofopticallythickobscuredAGN(asigni cantfractionofallAGN).WesuggestthatthemostlikelysourceofopticallythickobscurationinAGNisawarpedparsecscaleaccretiondisc.
Keywords:Galaxy:centre–accretion:accretiondiscs–galaxies:active–methods:numerical
1INTRODUCTION
AccordingtothesimplestversionoftheUni edmodelofActiveGalacticNuclei(AGN),thecentralsourcehasfunda-mentallythesamepropertiesinallclassesofAGN(e.g.,An-tonucci&Miller,1985;Antonucci,1993;Maiolino&Rieke,1995;Risalitietal.,1999;Sazonov&Revnivtsev,2004).ItistheorientationofourlineofsightwithrespecttothedustyobscuringenvironmentofanAGNthatmakesitappearasatypeI(relativelyun-obscured)ortypeIIobject(obscured).Despiteofalltheconvincingobservationalevidencefortheexistenceoftheabsorber,mostfrequentlythoughttobear-rangedinashapeofatorus,noconvincingtheoreticalmodelhaseverbeenproducedtoexplainitsproperties.Recently,Nenkovaetal.(2002)andRisalitietal.(2002)demonstratedthattocomplywiththesmallobservedtorussizes,theab-sorbermustnotbeuniformindensitybutshouldberatherclumpy,i.e.consistingofinpidualsmallerclouds.Theoret-icalmodelsofclumpytori(e.g.,Krolik&Begelman,1986,1988;Vollmeretal.,2004),however,haveallthesamefun-
E-mail:Sergei.Nayakshinatastro.le.ac.uk
damentaldi culty.Astheobservationsrequirethetorustobegeometricallythick,thevelocitydispersionofthecolddustycloudsmustbeoftheorderoftheirorbitalvelocityintheinnerparsecofagalacticcentre.Opticallythicktoriwouldthenhavecloudscollidingatsuper-sonicspeedsmanytimesduringonedynamicaltime(Krolik&Begelman,1986,1988).Therefore,thesemodelshavetopostulate(somewhatarbitrarily,inourpointofview),thatthecloudscansurvivethesecollisions,behavinginessenceasrubberballs.
Recently,anumberofauthorsarguedthattheobscu-rationmustinsteadcomefromclumpywinds(e.g.,K¨onigl&Kartje,1994;Kartjeetal.,1999;Elvis,2000;Elvisetal.,2004;Elitzur,2005)emanatingfromthesurfaceofanac-cretiondisk,bethesewindsdrivenbylinepressure(Proga,2003),continuumradiationpressure,heating,orbyhydro-magneticforces.Inthispaperwewishtocriticallyassessthissuggestion.Inparticular,weconsiderAGNwindsdrivenbystarformationactivityinanaccretiondisc.StarorplanetformationinAGNdiscshasbeenlongpredictedbytheo-rists(Paczy´nski,1978;Kolykhalov&Sunyaev,1980;Lin&Pringle,1987;Collin&Zahn,1999;Gammie,2001;Good-man,2003),andrecentobservationsoftheyoungmassivestarsinthecentreofourGalaxy(e.g.,Genzeletal.,2003;
The role of star-formation driven outflows in the obscuration of the central source in the Active Galactic Nuclei (AGN) is discussed. The outflow from a sub-parsec scale accretion disc is numerically modelled for parameters appropriate to the Galactic Cent
2S.NayakshinandJ.Cuadra
Ghezetal.,2003)lendaverystrongsupporttothesethe-ories(Levin&Beloborodov,2003;Nayakshin&Sunyaev,2005;Paumardetal.,2006).UsingtheSPHtreatmentofstellarwindsdevelopedbyCuadraetal.(2005,2006),wecalculatetheobscuringpropertiesofsuchwindsforaspe-ci cexample.We ndthatthesewindshaveveryirregular,patchyobscurationpatterns.A xedobservershouldthenseethecolumndepththroughthewindvaryingontimescalesfrommonthsoryearstotensandhundredsofyears,dependingonthephysicalsizeofthewindlaunchingregionandtheSMBHmass.
However,observations(see§3below)suggestthatthestructureresponsibleforAGNobscurationshouldbeopti-callythickoveralarge(e.g.,athird)fractionofthewholesky.Ourmodelscannotachievesuchahighaveragelineofsightcolumndepthunlessthemasslossrateinthewindissuper-Eddington.Infact,weshowviasimpleanalyticalesti-matesthatthisconclusionisvalidwhateverthenatureofthewinddrivingmechanismis.Wefeelitwouldbeveryhardtoproducehighlysuper-Eddingtonwindsinaplausiblequasisteady-stateAGNmodelforatypical(verysub-Eddingtonluminosity)AGN.Thuswesuggestthatwinds,whileveryimportantfortheAGNphenomenon,cannotreplacethe“torus”initsroleintheuni cationschemesofAGN.Ei-therthetorusdoesexistdespitethedi cultiesfacedbythemodels,oranotheropticallythickstructure,e.g.,awarpedaccretiondiscplaysitsroleinAGN.
2STELLARWINDSFROMAGNDISCS
AGNdiscsareexpectedtobemassiveandthusself-gravitatingatlargeenoughdistances(R~>
0.01 0.1pc)fromthesuper-massiveblackholes(SMBH).Ifthedisccoolingtimeisshort,gravitationalcollapseandformationofstarsorevenplanetsispredicted(e.g.,Paczy´nski,1978;Kolykhalov&Sunyaev,1980;Shlosman&Begelman,1989;Gammie,2001).YoungmassivestarsinthecentralparsecofourownGalaxyweremostlikelycreatedinthisway(Paumardetal.,2006),withanapparentsigni cantover-abundanceofhighmassstars(Nayakshin&Sunyaev,2005)overtheirfractionin“normalgalactic”starformation.Asstarsarebornfromtheaccretiondisc,theylaunchpowerfulradiation eldsandstellarwinds,someofwhichwillbreakthroughthedisc.Lowmassproto-starsmayproveequallye ectiveinlaunchingwindsinthesecircumstancesastheratesatwhichgasiscapturedfromthediskintotheHill(orcapture)zonesoftheprotostarsaresuper-Eddington(Nayakshin,2006).Inaddition,whenthegasinthediskisdepletedtoabouthalfitsinitialsurfacedensity,stellarvelocitydispersionstartstogrow,andsoonthestellardiscbecomesgeometricallythickerthanthegasdisc(Nayakshin,2006).Stellarwindsthenescapefromabovethediscdirectly.
Weattempttosimulatethiscomplexsituationinasim-pli edsetting,concentratingonlyonthewindpartofit.Forthisreasonwedonotincludethegasinthenegligiblythinand ataccretiondiscfromwhichthestarsareborn.Tocaptureadegreeoftheexpectedpersityofthestellarpop-ulationsandconditionsinthisproblem,thestarsarepidedintotwogroups.The rstproduceswindswithvelocitiesvw=300km/sec,whereasthesecondhasvw=700km/sec.Bothtypesofstarshavemasslossratesof2.5×10 4M⊙
year 1,andaresituatedina atcircularlyrotatingKep-leriandiskofgeometricalthicknessH(R)=0.1R(theunitoflengthusedhereis1arcsecondatthedistanceof8kpc,whichisabout1.2×1017cmor0.04pc).Intotal,wehave200massshreddingstars,thusamountingtothemasslossrateof0.1M⊙year 1,whichisafactoroffewsuper-EddingtonforaSMBHmassofMBH=3.5×106M⊙.ThediscinnerandouterradiiareRin=1.5andRout=8,respectively.ThestellarsurfacedensityfollowsthelawΣ (R)∝R 1,andthestarsareintheKepleriancircularrotationaroundtheSMBH.Theinitialphase(i.e.theφ-coordinate)ofthestarsinthediskisgeneratedrandomly,asistheverticalco-ordinatewithinthe Hto+Hlimits.Initially,thecompu-tationaldomainis lledwithhottenuousgaswithvelocitygreaterthantheescapevelocity.Thisgasquicklyout owsfromtheregion.Attheendofthesimulationstellarwindsexceedtheinitialgasmassbyafactoroffewtens.
Toperformsimulations,weusetheGadget-2code(Springel,2005)modi edtomodelstellarwindsasnewSPHparticlesejectedfromthestellarwindsources.Thesemeth-odsweredescribedandthoroughlytestedinCuadraetal.(2005,2006).
AsnapshotofthesimulationisshowninFigure1attimet≈2200yearsafterthebeginningofthesimulation,whichcorrespondsto~36dynamicaltimesatR=1.Whilethereisnotruesteadystateinthis nitenumberofmovingstarssystem,thesnapshotisfairlytypicalofthemorphologyofthestellarwind.Theface-onview(leftpanel)showsthatsomeoftheshockedwindmanagedtocooldownandformedasmall-scaledisc.Theinnerpartofthesimulationdomainisthemostlikelyplaceforthedisctoformsincestellarwinddensityishighestthere,leadingtoshocks,thermalizationandrapidcooling;thefrequentcollisionsofgaseousclumps“waste”momentumofthewinds,and nally,theescapevelocityfromtheregionisaround600km/sec,i.e.higherthanwindvelocitiesoftheslowerwinds.Withtimethediscgrowsradiallytobothsmallerandlargerradii.However,theformationofthedisc(cf.Cuadraetal.,2006)isphysicallysigni cantonlyinthecasewhenthegaseousaccretiondiscfromwhichthestarswerebornisentirelyabsent,asisthecasepresentlyintheGalacticCentre.Intheoppositecasethecooleddiscandthe“spiralarms”seenatintermediateradiiwouldsimplyblendinwiththemuchmoremassiveunderlyinggasaccretiondisc.
Contrarytothefrequentcollisionsandhighescapeve-locityintheinnerregionofthecomputationaldomain,theconditionsintheouterregionsallowdirectescapeofboththefasterdi useandtheslowercoolerclumpywinds.Duetothe nalextentofthestellardiscandtheprojectionef-fect,thewindmorphologyremindsand“X”-shape(Figure1,rightpanel).Theedge-onview(rightpanel)ofthestellar
discshowsthattheplaneofthegasdiscatRtiltedwithrespecttotheorbitalplaneof~<
2isveryslightlythestellardisc.Thisisanartefactoftheinitialconditions.
TheleftpanelofFigure2showstheobscuringcolumndepthofthewindsasseenfromtheSMBH.Sincetheorien-tationofthetiltedinnerdiscisin uencedbytheinitialcon-ditions,weeliminateitsobscuration,onlyplottinggaswith
radialdistancesR~>
1.6fromtheSMBH,whichexcludesallofthedisc.Besides,hadweincludedinthesimulationsthemoremassivegasaccretiondiskwhosemidplanewouldco-incidewiththatofthestars,theinnerdiscseeninFigure
The role of star-formation driven outflows in the obscuration of the central source in the Active Galactic Nuclei (AGN) is discussed. The outflow from a sub-parsec scale accretion disc is numerically modelled for parameters appropriate to the Galactic Cent
ClumpywindsandtheobscurationofActiveGalacticNuclei.
3
5
5
y [ 0.04 pc]
z [ 0.04pc ]
-5
-5
-5
0x [ 0.04pc ]
5-5
0x [ 0.04pc ]
5
-3.0-2.5
-2.0-1.5log Σ [g cm-2]
-1.0-0.50.0-3.0-2.5
-2.0-1.5log Σ [g cm-2]
-1.0-0.50.0
Figure1.Face-on(left)andside(right)viewsofthesimulationdomainforthe atstellardisccon guration.Redasterisksshowthelocationofthewind-producingstarsusedinthesimulation(thered“dot”inthecentreoftheleftpanelisnotastar,butalowcolumndepthregioncentredontheSMBH).
1wouldhavecompletelyblendedinwiththeaccretiondiscandwouldnotpresentmuchobscurationatall.
Notetheveryirregularpatchystructureofthe(yel-low)opticallythickerregions.Thecontrastbetweenthoseandneighbouringlessdensepatchesofskyisfrequentlyafactorof10ormore.Sincethewindsarerotatingatafractionofthelocalangularfrequency, ,thisimpliesthatthecolumndepthsampledbytheobserverwillvaryontimescalesasshortas~10 3to10 2of1/ ,i.e.
1/2
.Thedottedpat-tvar~0.04 0.4year(R/0.1pc)3/2M8
ternatthecosθ=0planearethedenseregionsofstellarwindsimmediatelynexttothestars.
TherightpanelofFigure2showstheisotropicmasslossratealongthelineofsight,de nedas˙≡M
dΣ4πR2ρvR
2
2πRt
,(2)
whereRtisthetypicalradiusofthetorus,andweassumedthatitcoversroughly2πoftheskyasseenfromtheSMBH.Now,assumethatthetorusismadeupofcloudsthatformintheout owingdiskwind,asinthesimulationspresentedinthispaper.Thetotalmassout owrateofthecloudsisthen
The role of star-formation driven outflows in the obscuration of the central source in the Active Galactic Nuclei (AGN) is discussed. The outflow from a sub-parsec scale accretion disc is numerically modelled for parameters appropriate to the Galactic Cent
4S.NayakshinandJ.
Cuadra
1.0
1.0
0.5
0.5
cos(θ)
0.0
cos(θ)
0.0
-0.5
-0.5
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-1.0
-3-2-1
0 [ radian]
123-3-2-1
0 [ radian]
123
-3.5-3.0-2.5
-2.0log Σ [g cm-2]
-1.5-1.00.0
0.5
Mass loss rate
1.01.5
Figure2.Columndepththroughthewind(left)andisotropicmassout owrate(right;inunitsofM⊙year 1)forthesimulationshowninFig.1.Notethelargevariationsoftheobscuringcolumndepthoversmallangularscales.ThegaseousinnerdiscseenintheleftpanelofFigure1hasbeenexcludedfromtheseFigures.
˙wind~M2
2πRtNaΣc K
~15
M⊙
1pc
1/2
M8
1/2
,(3)
whereM8istheSMBHmassinunitsof108M⊙,andwe
assumedthatcloudsradialvelocitiesareoftheorderofthelocalKeplerianspeed.Now,theEddingtonaccretionrateis4πGMBHmp/ cσT≈2M⊙year 1M8.Thusthere-quiredwindmasslossrate(equation3)isanorderofmag-nitudehigher,typically,thantheEddingtonaccretionrateforaM8~1objectandaparsec-scaletorus.Theestimate
˙windcouldbereducedsomewhatbypostulatingevenofM
smallertorussizes,butitishardtomakeRtmuchsmallerthan~0.1pcasthenthedustwouldbesublimatedbytheAGNradiation eld(e.g.,eq.3.2inEmmeringetal.,1992).However,weratherthinkthatestimate3istoooptimistic,e.g.thatanevenhighermassout owratesareneeded,astheobservationsandmodellingofopticallythicksourcesre-quireaminimumabsorbingcolumndepth,andhenceinagoodfractionofsourcesNaΣcmayactuallybemuchhigherthan1gcm 2.
Consideringaspeci ccaseofthelocalobscuredAGNstudiedby(Guainazzietal.,2005),wenotethatthebolo-metricluminositiesoftheseobjectsintheinfrared,X-rayandopticalbandsareintherangeL~1043 few×1044erg/sec,whichimpliesSMBHaccretionratesof“only”~0.01M⊙year 1forthestandardradiativee ciency.Henceiftheobscurationoftheopticallythickobjectsinthatsam-plewereprovidedbythewinds,wewouldconcludethattheSMBHaccretionprocessmustbeverywasteful,with~100 10,000timesmoremass owingoutoftheinnerparsecthanaccretingontheSMBH.(Notethatthesemod-eratelybrightAGNarenotlikelytobeinthenon-radiative
accretion owregimewhenvigorousout owsareinfactex-pected,e.g.,Blandford&Begelman,1999)Itwouldalsore-quireaveryhighmassin uxintotheinnerparsectosustainsuchwinds.Giventhedi cultyofdeliveringenoughfueltotheSMBHsevenintheearliergas-richepochs(Thompsonetal.,2005),itishardtoseehowsuchhighmassin uxescouldbemaintained.
4DISCUSSIONANDCONCLUSIONS
Accretingblackholescandrivestrongout owsviaX-rayheating,lineorcontinuousradiationpressure,andhy-dromagneticforces(e.g.,Begelmanetal.,1983;K¨onigl&Kartje,1994;Kartjeetal.,1999;Proga,2003).Starforma-tionontheoutskirtsofcoolmassiveaccretiondiscswillalsoresultinwindsdrivenbyout owsfromtheyoungmassivestars(Cuadraetal.,2005).Herewestudiedtheobscura-tionpropertiesoftheAGNout owsofthelasttype.Wefoundthattheseout owsarequiteclumpy,withthelinesofsightpassingthroughtheclumpsbecomingmoderatelyopticallythicktoThomsonscatteringforhighenoughwindmasslossrates.Suchout owsareboundtoplayaroleintheobscurationofAGN.
Wehoweverfeelthatthisrolecannotbedominantastheskyaveragedcolumndepthissigni cantlysmallerthantheonerequiredbythecurrent“torus”models(e.g.,Nenkovaetal.,2002;Elitzur,2005)andobservations(Guainazzietal.,2005)forrealisticmassout owrates,parabletotheaccretionratesontotheSMBH,whicharelikelytobeonly0.01 0.1oftheEddingtonaccretionratesinthelocalAGN(andaremuchsmallerifwealso
The role of star-formation driven outflows in the obscuration of the central source in the Active Galactic Nuclei (AGN) is discussed. The outflow from a sub-parsec scale accretion disc is numerically modelled for parameters appropriate to the Galactic Cent
ClumpywindsandtheobscurationofActiveGalacticNuclei.
5
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0.5
0.0
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-1.0
-3-2-1
0123
[ radian]
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log Σ [g cm-2-1.0]
Figure3.SameastheleftpanelofFigure2butforslightlydi erentinitialconditionsandwiththecoldtiltedandwarpedinnerdiscincludedintheFigure.Noticethatthisverylight(only~3M⊙)discisaverye cientabsorber.
considerLowLuminosityAGN;see,forexample,Fig.1.9inHo,2005).WethusbelievethatthesearchfortheculpritoftheopticallythickobscurationofAGNshouldstillgoon.
Oneratherobviouscandidateisawarpedaccretiondisc.Thediscmaybesigni cantlywarpedbyinstabilitiesduetobackreactiontomassout oworduetotheAGNradiationpressure,oritmaybewarpedduetoprecessioninanon-axisymmetricgravitationalpotential(e.g.Schandl&Meyer,1994;Pringle,1996;Nayakshin,2005).Finally,thereisnoreasonforaninitialdisccon gurationtobe atifthemassdepositionismuchshorterthanthediscviscoustime,whichwasprobablythecaseintheGalacticCentre(Nayakshin&Cuadra,2005;Paumardetal.,2006).Asimulationranbyusforthepresentpaperandlaterrejected(becausetheinitialmassofthegasturnedouttoohighsothatitin uencedtheoutcomeofthesimulation)iscuriouslyusefulinthisrespect.Figure3showstheobscurationpatternofthissimulationinthesamewayasintheleftpanelinFigure2,butincludingthetiltedandslightlywarpedgasdisc.Exceptfortheinitialconditions,thissimulationisexactlyidenticaltotheoneshowninFigures1&2.AsFigure3shows,theobscurationprovidedbythewindsliterallypalesincomparisonwiththatproducedbythewarpeddisc,whosemassisonly~3M⊙.Anaccretiondiscisalonglivedstructurethatcanaccumulatealotofgas(stillasmallfractionoftheSMBHmass,however)andcanbeThomson-thickouttoparsecdistances.Obscurationbyawarpedaccretiondiscrequiresnocontinuousenergyinput,andwouldworkforloworhighluminosityAGNaslongasthediscsaresu cientlymassiveandstronglywarped.
TheauthorsacknowledgediscussionsandcommentsfromKenPoundsandSergeiSazonov.
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