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Feedback Regulates Star Formation Phil Hopkins F RE Feedback In Realistic Environments Norm Murray, Eliot Quataert, Chris Hayward, Dusan Keres, Claude Faucher-Giguere, Xiangcheng Ma What Does Turbulence Do? Giant Molecular Clouds: Stars & Pre-Stellar Gas Cores: MW LMC SMC M33 M31 IC10 Number Number (dN/dM) Bastian Chabrier DM Halos?! Blitz, Rosolowski et al. Mass [M ] Turbulent Fragmentation: From GMCs to Stars PFH 2011 JUST COUNTING “CLOUDS IN CLOUDS” Averaging Scale R [pc] Log[ Density / Mean ] Thermal+ Magnetic Turbulence Angular Momentum Turbulent Fragmentation: From GMCs to Stars PFH 2011 JUST COUNTING “CLOUDS IN CLOUDS” STRUCTURE FORMATION STAR FORMATION The “First Crossing” Mass Function VS GIANT MOLECULAR CLOUDS dn /M dM ↵ e (M/MJ ) Number (>Mcloud) GMCs PFH 2011 log[ Mcloud / Msun ] The “Last Crossing” Mass Function VS PROTOSTELLAR CORES vturb (R) < cs : ⇢ vturb ⇠ ⌧1 ⇢ cs (Hennebelle & Chabrier, Padoan & Nordlund, PFH 2012) Clustering of Stars/Cores CLUSTERING IS INEVITABLE PFH 2012 From Cores to Stars D. Gusjenov YOU CAN TAKE TURBULENT FRAGMENTATION TO THE IMF “Fragmentation Tree”: Time arXiv tomorrow! What About Starbursts (Extreme Environments)? BOTTOM-HEAVY: TURBULENCE WINS! MJeans is bigger but MSonic is smaller ULIRG (bigger clouds with more fragmentation) Van Dokkum & Conroy (nearby elliptical centers) TextKroupa Chabrier MW PFH 2012 (see Giles’s talk, recent HC 2014 work) Is Star Formation Self-Regulating? Not Without Feedback! TURBULENT FRAGMENTATION LEADS TO RUNAWAY COLLAPSE (ALSO, WHAT DRIVES THE TURBULENCE?) Fraction Collapsed Per Crossing Time Simulation Simulations (Cooling+Gravity+MHD) Padoan & Nordlund Vazquez-Semadeni PFH 2011 Federrath et al. (see Paulo’s talk) But Star Formation is Slow! Q: WHY IS STAR FORMATION SO INEFFICIENT? Log SFR Ṁ⇤ ⇡ 0.017 Mgas /⌧dyn Kennicutt 1998 Log gas / dyn Galactic Scales: How Can We Do Better? Ø High-resolution (~1-10 pc), molecular/metal cooling (~10 K), SF at nH > 100 cm-3 Ø Energy/Mass/Metal Injection: Ø Ø SNe (II & Ia) Ø Stellar Winds (O & AGB) Ø Photoionization (HII) & Photoelectric Momentum Flux: Ø Radiation Pressure Ṗrad Ø Ø L ⇠ (1 + c IR ) SNe 1 ṖSNe ⇠ ĖSNe vejecta Stellar Winds ṖW ⇠ Ṁ vwind Ø (also MHD, anisotropic conduction, diffusion) Stars (Hubble image): Blue: Young star clusters Red: Dust extinction Gas: Magenta: cold Green: warm (ionized) Red: hot Is Star Formation Self-Regulating? The Kennicutt Law Emerges INDEPENDENT OF SMALL-SCALE SF LAW No Feedback PFH et al. (arXiv:1311.2073) (also Agertz+ 1404.2613) Kennicutt-Schmidt relation emerges naturally ISOLATED GALAXIES ⌃˙ ⇤ ⇠ ⌃gas /⌧dyn no feedback PFH, Quataert, & Murray, 2011a ⌃˙ ⇤ ⇠ 0.02 ⌃gas /⌧dyn with feedback Shetty & Ostriker ’12 CAFG et al. ’13 Kennicutt-Schmidt relation emerges naturally Ø Efficient cooling Ṗdiss Ø the gas disk dissipates its support: Mgas vturb ⇠ Mgas ⇠ tcrossing disk ⌦ Collapse stops when momentum input from feedback: Ṗ⇤ ⇠ Ṗdiss L ⇠ ✏⇤ Ṁ⇤ c Ṗ⇤ ⇠ few ⇥ c ✓ ◆ ˙⇤ ⇠ ⌃ ⌃gas ⌦ ⇠ 0.02 ⌃gas ⌦ ✏⇤ c (Galactic) Star Formation Rates are INDEPENDENT of how stars form! Efficiency (SF per tdyn) Ø Index (SFR ~ ) SF Density Threshold Set by feedback (SFR) needed to maintain marginal stability Hopkins, Quataert, & Murray 2011 also Saitoh et al. 2008 How Does Star Formation Self-Regulate? SELF-ADJUST THE MASS IN DENSE GAS Efficiency (SF per tdyn) Ø SF Density Threshold Pile up more dense gas until the SFR “needed” is obtained! Hopkins, Quataert, & Murray 2011 Are We Done? No! Star Formation is Inefficient In the Integral Q: WHAT KEEPS GAS OUT OF GALAXIES? Moster 2009 Number Density Log( Stellar/Halo Mass ) of baryons No10% Feedback Stellar Feedback SMBH Feedback Observed Log( Halo Mass ) Mstars [M ] How Efficient Are Galactic Super-Winds? WHAT MECHANISMS DRIVE THEM? No Feedback S. Muratov et al., in prep 100 10 1 0.1 With Feedback Does Stellar Feedback Explain the Mass Function? HOW EFFICIENT ARE GALACTIC WINDS? M⇤ observed (Behroozi) = fb n o y ar alo h M observed (Moster) log (Mhalo / M ) PFH et al. (arXiv:1311.2073) Sub-Grid Is Not Enough PHASE STRUCTURE AND RECYCLING OF OUTFLOWS MUST BE CAPTURED! S. Muratov (stay tuned) Proto-MW: Gas Temperature: Insert Winds “By Hand” (Sub-Grid) Following Full Feedback Faucher-Giguere, arXiv:1409.1919 Feedback Determines the Halo Gas Properties ABSORBERS FALL OUT NATURALLY (EXCEPT QUASARS) 16 Faucher-Giguère et al. 16 Faucher-Giguère et al. z=2 No feedback m09 Feedback With feedback (Quasars) No feedback NHIHI (cm-2-2) kpc kpc Figure B1. Top: HI maps for our m12i simulation with full stellar feedback at Dwarf Metallicities: Revealing Feedback DEPENDS ON DETAILS OF INFLOW-OUTFLOW INTERACTIONS observed sims “sub-grid” sims SAMs “Bathtub Models” Ø Outflows suppress “new” infall of pristine material Ø Metal-rich gas preferentially re-accretes in fountains Xiancheng Ma Observed Starlight Molecular X-Rays Star Formation Ø “Turbulent Fragmentation” at all scales: Ø GMCs: universal mass function (power-law 1.x + cutoff at Toomre) Ø Larson’s Laws: trace the turbulence Ø Cores: universal slope 2.x, turnover at sonic scale Ø IMF: fragmentation from cores: Salpeter slope & weak dependence of Mpeak Ø Stellar Clustering: ~0.1pc - kpc, follows directly from turbulent fluctuations Ø Star formation is Feedback-Regulated: Ø KS law is independent of small-scale SF physics! Ø SF is not “slow because of turbulence”: is slow because feedback unbinds gas! Ø Cosmologically: Ø Winds determine IGM enrichment, temperature, & subsequent inflow Ø Resolved feedback 6= sub-grid feedback! Ø Mass-metallicity, SFHs, morphology not the same