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Flow-Driven Formation of Molecular Clouds: Insights from Numerical Models Lee Hartmann Javier Ballesteros-Paredes Adrianne Slyz Julien Devriendt Andreas Burkert The Cypress Cloud, Spitzer/GLIMPSE, FH et al. 09 The Classical Problem of Star Formation: If all the molecular gas in the Galaxy collapsed on its free-fall time, the star formation rate would be ~20 times higher than observed. Traditional solution: Molecular clouds supported against collapse for many free-fall times by turbulence and/or magnetic fields. Star formation: slow equilibrium process. characteristic timescale: 3Myr @ 100 cm-3 What sets the star formation efficiency? Cited evidence: - long cloud lifetimes - existence of starless clouds - turbulent linewidths - magnetic fields The Points to be Made: (1) Gravity is a long-range force. Thus, global gravity rules. Filaments are a natural consequence of global gravity. (2) Molecular clouds are dynamic ( = not in equilibrium). They are collapsing during their formation. (3) “Turbulence” in molecular clouds is driven by gravity. Turbulent support does not exist. (4) Star formation is “rapid”, but inefficient. The SFE is set by rapid fragmentation during the cloud’s formation (and stellar feedback). What sets the star formation efficiency? Why rethinking our picture of star formation? Molecular clouds have (“turbulent”) structure. Perseus, 12CO Ridge et al. 2006 Taurus-Perseus, 12CO Ungerechts & Thaddeus 1987 Taurus, 12CO Goldsmith et al. 2008 What sets the star formation efficiency? The Classical Problem of Star Formation: “Long” cloud lifetimes? Not in local star-forming regions! <10 Myr: local star-forming regions Hartmann et al. 01, Ballesteros-Paredes & Hartmann 07 What sets the star formation efficiency? Why Look at Molecular Cloud Formation? Starless clouds? Most clouds form stars. Stellar age spreads are small (1-3 Myr). Thus, star formation is rapid. stellar ages Core, 24 & CS; Megeath et al. 2009 Maddalena-Thaddeus Cloud, 13CO Lee et al. 1994 What sets the star formation efficiency? Hartmann 03 Cep OB2: supernova, H II region-driven bubbles 1 Myr-old stars 50 pc 100 m IRAS dust emission Extragalactic view: (only100 pc) 10 Myr “age spread”; H II, H I, CO (H2); is this a single cloud? ~ 10 Myrold cluster: supernova/ winds ~ 4 Myr-old cluster, H II region Physical Constraints Rapid onset of star formation requires specific cloud properties: free-fall time of a spherical cloud of uniform density: 3Myr @ 100 cm-3 - Freefall time independent of radius. - Linear density perturbations will be swept up in global collapse. Burkert & Hartmann 04 - Massive stars form only rarely (if at all) in “isolation”. Chu & Gruendl 08, Lamb et al. 09 The rapid onset of star formation requires non-linear density seeds during cloud formation. Flow-Driven Cloud Formation The Physical Regimes of Cloud Formation warm neutral gas :T = 5000-8000 K, n = 1…3 cm-3 cold neutral/molecular gas:T<100 K, n >100 cm-3 warm ionized gas :T = 10000 K, n < 1 cm-3 thermal instability Elmegreen 07 Flow-Driven Cloud Formation Fluid Dynamics of Cloud Formation Large-scale flows: - spiral arms - expanding/colliding shells - galaxy mergers Processes & Agents: FH et al 08b - shocks & shear flows Thermal Equilibrium curve: P n WIM fragmentation, turbulence - radiative losses/thermal instability fragmentation, strong compression - gravity fragmentation, collapse - magnetic fields we’ll get them later Flow-Driven Cloud Formation ≈1 WNM <0 CNM 1 A Numerical Experiment: Two uniform, identical flows no assumption about turbulence colliding head-on at interface expanding shells, spiral arms with large-scale geometric perturbation mimicking unavoidable shear in non-periodic domain. allowing global gravitational modes Heating and cooling to model WNM CNM. No stellar feedback. Hydro and MHD models. Fixed-grid simulations. Methods: Proteus Athena FH et al. 04, 07, 08 Stone et al. 08 Flow-Driven Cloud Formation Cooling, Gravity & Geometry blue/green : thermal fragmentation; red/yellow : local collapse; filament : global collapse QuickTime™ and a PNG decompressor are needed to see this picture. 3D at 256 x 512 x 512 19 < log N [cm-2] < 23 n = 3 cm-3 v = 9 km s-1 Flow-Driven Cloud Formation FH et al. 08a The “rapid” formation of molecular clouds and stars Global gravity increases CO formation. without self-gravity but QuickTime™ and a PNG decompressor are needed to see this picture. N(filament) @ 10 Myr ~ 1022 cm-2 FH & Hartmann 08 contours: HI color : CO Flow-Driven Cloud Formation 22 pc with self-gravity Global vs local free-fall time Thermal fragmentation: small filling factors short free-fall times (not coherent) “presetting” local collapse Densest regions form stars, while the envelope might never be relevant for star formation. Goldsmith et al. 08 FH & Hartmann 08 Flow-Driven Cloud Formation The Role of Turbulence: “Turbulence” is (at least partially) driven by gravity. The bulk of the energy is on the largest scales. There is no such thing as “turbulent support”. Turbulence in cold gas is not supersonic hydrodynamically. Flow-Driven Cloud Formation Clouds are not in equilibrium: The virial parameters are of order unity. Global gravity starts dominating the cloud’s evolution. Flow-Driven Cloud Formation Magnetic Fields Collapse of dense regions, support of diffuse envelope. collapsing cores QuickTime™ and a MPEG-4 Video decompressor are needed to see this picture. supported, diffuse envelope FH et al. 09 Taurus, Goldsmith/Heyer 08 44 pc field in equipartition with flow energy Flow-Driven Cloud Formation FH et al. 09 The Major Points to be Made: (1) Gravity is a long-range force. Thus, global gravity rules. Filaments are a natural consequence of global gravity. (2) Molecular clouds are dynamic ( = not in equilibrium). They are collapsing during their formation. (3) Turbulence in molecular clouds is driven by gravity.Turbulent support does not exist. The Points to be Made The Major Points to be Made: (4) Star formation is “rapid”, but inefficient. The SFE is set by rapid fragmentation during the cloud’s formation (and stellar feedback). QuickTime™ and a QuickTime™ and a PNG decompressor YUV420 codec decompressor are needed to see this picture. are needed to see this picture. Gritschneder et al. 09 Elmegreen 07 The Points to be Made The Major Points to be Made: (1) Gravity is a long-range force. Thus, global gravity rules. Filaments are a natural consequence of global gravity. (2) Molecular clouds are dynamic ( = not in equilibrium). They are collapsing during their formation. (3) Turbulence in molecular clouds is driven by gravity. Turbulent support does not exist. (4) Star formation is “rapid”, but inefficient. The SFE is set by rapid fragmentation during the cloud’s formation (and stellar feedback). The Points to be Made END