The Pop III/II Transition
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1 The First Stars and Galaxies: Challenges for the Next Decade March 8-11, 2010 Austin, Texas The Pop III/II Transition Raffaella Schneider INAF/Osservatorio Astrofisico di Arcetri
2 What are the minimal conditions for the formation of the first low-mass long-lived stars? cooling by metals fine-structure lines Omukai (2000); Bromm et al. (2001); Schneider et al. (2002); Bromm & Loeb (2003); Santoro & Shull (2006); Jappsen et al. (2007); Smith, Sigurdsson & Abel (2008); Jappsen et al. (2009); Hocuk & Spaans (2010) cooling by dust grains thermal emission Schneider et al. (2003), (2006); Omukai et al. (2005); Tsuribe & Omukai (2006); Clark, Glover & Klessen (2008)
3 Bromm, Ferrara, Coppi & Larson (2001) the role of metals SPH simulation isolated halo with M halo = 2x10 6 M sun at z = 30 no H 2 and only metal-line cooling (C, N, O, Fe, S, Si) Run A: Z = 10-3 Z sun Run B: Z = 10-4 Z sun t cool t ff onset of vigorous fragmentation at Z cr 5 x 10-4 Z sun t cool > t ff n cm -3 T 5000 K cooling rate = compressional heating rate
4 Distinguishing between different coolants Bromm & Loeb (2003) one-zone model CII (158 μm) and OI (63, 145 μm) line cooling Λ CII,OI (n c, T c ) > 1.5 n c KT c /t ff compressional initial conditions: T c =200 K n c =10 4 cm -3 cooling rate [C/H] crit -3.5 ± 0.1 [O/H] crit ± 0.2 heating rate Santoro & Shull (2006) CII (158 μm), OI (63, 145 μm), SiII (35 μm), FeII(26, 35 μm) line cooling [C/H] crit [Si/H] crit [O/H] crit [Fe/H] crit Fragment masses: M J,C 1000 M sun M J,Si 130 M sun M J,O 90 M sun M J,Fe 50 M sun
5 Numerical simulations with H 2 and metal line cooling Smith & Sigurdsson (2007) 3D AMR simulation cosmological initial conditions 5x10 5 Msun halo at z = 18 No UV background is assumed: cooling from H2, CI (370μm, 610μm), OI, SiII, FeII and SI (25 μm) Z sun 10-3 Z sun 10-2 Z sun multiple clump formation when 10-4 Z sun < Z cr 10-3 Z sun is this enough to mark a shift from the primordial to a modern IMF?
6 dependence on the initial conditions Jappsen et al. (2007; 2009a; 2009b) 3D SPH simulation molecular and atomic fine structure line cooling (1) Cold initial conditions: isolated halo with M halo = 2x10 6 M sun at z = 30 (same as in Bromm et al. 2001) Z sun No sharp transition at Z = 10-3 Z sun multiple clump formation even at Z = 0 clump masses > 30 M sun 10-1 Z sun
7 dependence on the initial conditions Jappsen et al. (2007; 2009a; 2009b) 3D SPH simulation molecular and atomic fine structure line cooling (2) Warm initial conditions: isolated halo with M halo = 7.8x10 5 M sun at z = 25 in a fossil HII region 0 turbulence Z = 0 rotation Z = Z sun Z = 10-3 Z sun No sharp transition at Z = 10-3 Z sun No fragmentation up to 10 5 cm -3 and Z = 0.1 Z sun Z = 10-3 Z sun 10-1 Z sun
8 What are the minimal conditions for the formation of the first low-mass long-lived stars? cooling by metals fine-structure lines Omukai (2000); Bromm et al. (2001); Schneider et al. (2002); Bromm & Loeb (2003); Santoro & Shull (2006); Jappsen et al. (2007); Smith, Sigurdsson & Abel (2008); Jappsen et al. (2009); Hocuk & Spaans (2010) cooling by dust grains thermal emission Schneider et al. (2003), (2006); Omukai et al. (2005); Tsuribe & Omukai (2006); Clark, Glover & Klessen (2008)
9 Metallicity Distribution Function HK+HES sample (2756 stars [Fe/H] < -2) [Fe/H] = -5.7 Z cr = 10-4 Z sun HK+HES averaged over 200 realizations Christlieb et al 2002,2004, 2008 Salvadori, Schneider & Ferrara (2007)
10 the role of dust grains Schneider et al. (2002; 2003; 2006), Omukai et al. (2005) One-zone model with simplified dynamics but detailed chemical and thermal evolution (478 reactions for 50 species) Molecular cooling (H 2, HD, H 2 O, OH) metal line cooling (CI, CII, OI) Dust grains (H 2 formation, cooling via thermal emission) solar composition, present-day dust properties (M dust /M met 0.47) Z 10-6 Z sun M Jeans 10 3 M sun Z 10-5 Z sun M Jeans < 1 M sun SHARP TRANSITION IN FRAGMENTATION SCALES for 10-6 Z sun < Z cr 10-4 Z sun
11 simulations of dust-induced fragmentation Tsuribe & Omukai (2006) Clark, Glover & Klessen (2008) Z=10-5 Z sun ε=2 Z = 10-5 Z sun cloud including the effect of rotation formation of a cluster of stars with M ch 1 M sun at Z cr = 10-5 Z sun
12 simulating the collapse in the presence of the CMB field Smith et al. (2008) Jappsen et al. (2009a,b) 10 4 M sun 10 3 M sun 10 2 M sun single clump single clump CMB inhibits fragmentation at high metallicities
13 thermal evolution with metals, dust & the CMB Schneider & Omukai (2010) Z = 10-4 Z sun Z = 10-2 Z sun Z = 10-1 Z sun z = 30 z = 20 z = 30 z = 20 z = 10 z = 5 z = 30 z = 20 z = 10 z = 5 z = 0 z = 0 z = 0 the increase in T dust lowers the efficiency of H 2 formation dust induced fragmentation is not affected T gas T dust T CMB thermal evolution is affected at all densities at the highest Z and z the 2 fragmentation epochs merge
14 minimal conditions for the first low mass star formation 1 High mass Low mass f dep = M dust /(M met +M dust ) M sun 0.1 M sun 0.01 M sun 0 - Z cr (f dep ) Log (Z/Z sun )
15 minimal conditions for the first low mass star formation Low mass moderate mass Msun 20 redshift 1 Msun Msun 0.01 Msun Zcr(fdep) -3 Log (Z/Zsun) -2 0
16 chemical feedback Pop III stars can form at late epochs if pockets of Z < Z cr gas are present Z>Z cr Z>Z cr (ii) genetic propagation (i) transport of metals by outflows
17 chemical feedback semi-analytic studies (Scannapieco et al. 2003; MacKey et al. 2003; Schneider et al. 2005; Furlanetto & Loeb 2005; Grief & Bromm 2006; Whythe & Cen 2007; Trenti & Stiavelli 2009) Scannapieco, Schneider & Ferrara (2003) Schneider, Salvaterra, Ferrara & Ciardi (2005) Log Eg fraction of halos hosting Pop III stars 0 down to z 5 Pop III to Pop II/I transition is extended in time PopIII stars contribute to SFR at z < 10
18 chemical feedback semi-analytic studies (Scannapieco et al. 2003; MacKey et al. 2003; Schneider et al. 2005; Furlanetto & Loeb 2005; Grief & Bromm 2006; Whythe & Cen 2007; Trenti & Stiavelli 2009) Collapsed fraction Star formation rate Z IGM = Z cr enriched Z IGM = Z cr Pop II/I pristine Pop III Whythe & Cen (2007)
19 mini-halos as repositories of pristine gas Cen & Riquelme (2008) 10 km/s metal enriched shock encompassing a 10 7 M sun virialized halo z = 9 z = 6 density more than (50 90)% of the high-density gas remains at a metallicity < 3 % of the IGM value metallicity
20 two populations of metal-free stars Press-Schechter like formalism combined with analytic recipes for chemical and radiative feedback Grief & Bromm (2006) Trenti & Stiavelli (2009) Pop II/I no H 2 feedback Pop III.2 Pop III.1 Pop III.1 Pop III.2 in Ly -cooling halos killed by chemical fdbk due to GALACTIC OUTFLOWS in H 2 -cooling halos killed by LW-background in Ly -cooling halos killed by chemical fdbk due to SELF-ENRICHMENT
21 two populations of metal-free stars Press-Schechter like formalism combined with analytic recipes for chemical and radiative feedback Grief & Bromm (2006) Trenti & Stiavelli (2009) Pop II/I with H 2 feedback Pop III.2 Pop III.1 Pop III.1 in Ly -cooling halos killed by chemical fdbk due to GALACTIC OUTFLOWS in H 2 -cooling halos killed by LW-background Pop III.2 in Ly -cooling halos killed by chemical fdbk due to SELF-ENRICHMENT
22 The Pop III/II transition on cosmic scales numerical studies SPH SIMULATION (metallicity-dependent IMF) Tornatore, Ferrara & Schneider (2007) HYBRID CODES dark matter simulation+semi-analytic gas physics Trac & Cen (2007) Trenti, Stiavelli & Shull (2009) Trenti, Stiavelli & Shull (2009) Pop III halo formation rate
23 numerical simulations Tornatore, Ferrara & Schneider (2007) GADGET-2 with improved treatment of chemical enrichment (Tornatore et al 2007) Z > Z cr Salpeter IMF 0.1 < M/M sun < 100 y = y(z) ε = erg/gr Woosley & Weaver 1995 Z < Z cr Salpeter IMF 100 < M/M sun < 500 y = ε = erg/gr Heger & Woosley 2002 Reference run: Z cr = 10-4 Z sun L box = 10h -1 Mpc N p = 2 x M p = h -1 M sun 2 additional runs: L box = 5 h -1 Mpc N p = 2x256 3 M p = h -1 M sun 5 h -1 Mpc N p = 2x128 3 M p = h -1 M sun
24 spatial distribution of metals Tornatore, Ferrara & Schneider (2007) mass-averaged metallicity z = 3 fraction of metals from Pop III stars z = 3 Pop III star formation sites Pop III stars appear to be hidden in the outskirts of collapsing structures A fraction of observable z>3 objects may be powered by radiative (LAEs, LBGs) or mechanical (PISN) input of Pop III stars
25 properties of Pop III star forming sites pure halos: only Z < Z cr gas/stars mixed halos: both Z < Z cr and Z > Z cr gas/stars gas metallicity Pop stellar III star metallicity formation efficiency Z CR Pop II.5 Z BBN Pop III.1 Schneider et al. in prep
26 resolving the first protogalaxies Ricotti, Gnedin & Shull (2002, 2008); Wise & Abel (2007, 2008); Whalen et al. (2008); Greif et al. (2008, 2010) Wise & Abel (2008)
27 resolving the first protogalaxies Ricotti, Gnedin & Shull (2002, 2008); Wise & Abel (2007, 2008); Whalen et al. (2008); Greif et al. (2008, 2010) Greif, Glover, Bromm & Klessen (2010) density temperature metallicity average metallicity 15 Myr 100 Myr 15 Myr z Myr 100 Myr z 20 Z 10-3 Z sun 300 Myr z 10 Z 10-6 Z sun metallicity [Z sun ]
28 Observational searches in the Local Universe: stellar archaeology GAMETE (GAlavy MErger Tree & Evolution) Salvadori, Schneider & Ferrara (2007) Metallicity Distribution Function of Halo stars statistics of second-generation (2G) stars: enriched by yields of PopIII SN 2G STARS ALL Beers & Christlieb (2006) sample 1150 stars with -4 < [Fe/H] < -2.5 Z cr /Z sun Number of 2G stars x10-2 metal-dilution self-enrichment
29 conclusions minimal conditions for the first low-mass stars may require dust-cooling: Z cr (f dep ) = 10-5±1 Z sun metal lines-cooling lead to fragment masses of few x10 M sun if 10-6 Z sun Z cr (f dep ) 10-4 Z sun low-mass stars can form at any z; at higher Z cr (f dep ) the effect of the CMB is important: 10s M sun stars at z > 15 dust is observed to be present at z 6: supernovae as dust factories on cosmic scales: the Pop III/II transition is NOT sharp in time! inhomogeneous metal enrichment and the resistance of mini-halos to metalenriched shocks lead to a long tail of Pop III star formation proto-galaxies at z =10 are likely to be already partially enriched: Pop III and Pop II stars co-existing
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