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Molecular Cloud Formation and Evolution. Scenario and Simulations. Enrique Vázquez-Semadeni Centro de Radioastronomía y Astrofísica, UNAM, México. Collaborators: CRyA UNAM: Javier Ballesteros-Paredes Pedro Colín Adriana Gazol Gilberto G ómez Jonathan Heiner. ABROAD:
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Molecular Cloud Formation and Evolution. Scenario and Simulations Enrique Vázquez-Semadeni Centro de Radioastronomía y Astrofísica, UNAM, México
Collaborators: CRyA UNAM: Javier Ballesteros-Paredes Pedro Colín Adriana Gazol Gilberto Gómez Jonathan Heiner ABROAD: Robi Banerjee (Heidelberg) Patrick Hennebelle (ENS, Paris) Katharina Jappsen Jongsoo Kim (KASI, Korea) Ralf Klessen (Heidelberg) Thierry Passot (Obs. Nice) Dongsu Ryu (Chungnam U., Korea)
Engargiola et al. 2003: Study of M33 Color image: HI distribution Circles: GMCs GMCs seem to be the “tip of the iceberg” of the gas densitydistribution. They conclude thatGMCs form out of the HI.(See also Blitz+07, PPV; Molinari+13, PPVI)
This talk addresses: • The general evolutionary scenario, • atomic cloud formation:how do the clouds acquire their • mass? • turbulence (at what level)? • GMC formation: • need for self-gravity and global contraction • filamentary structure from gravitational contraction. • destruction: • through stellar feedback. • The numerical tools and database. • Caveat: no time for discussion of magnetic effects.
WNM n, T, P, -v1 WNM n, T, P, v1 • When a dense cloud forms out of a compression in the WNM, it “automatically” • cools down • acquires mass • acquires turbulence (through TI, NTSI, KHI – Vishniac 1994; Walder & Folini 1998, 2000; Koyama & Inutsuka 2002, 2004; Audit & Hennebelle 2005; Heitsch et al. 2005, 2006; Vázquez-Semadeni et al. 2006). • The compression may be driven by global turbulence, but mostly by large-scale gravitational instabilities: • HI superclouds: <n> ~ 10 cm-3, M ~ 106 -- 4x107 Msun, gravitationally bound (Elmegreen & Elmegreen 1987; Molinari+13).
The system’s structure: ~ cooling length. Adiabatic or phase-transition front. WNM CNM Unstable Vázquez-Semadeni et al. (2006 ApJ, 643, 245).
For stronger compressions and later times, the compressed layer becomes denser, turbulent, and thick,and continuously grows in mass. Adiabatic shocks Phase-transition fronts Thermally unstable, transient gas Ms ~ 2 Audit & Hennebelle 2005
For moderate compressions, the process may be responsible for the formation of thin CNM sheets(Heiles & Troland 2003)at its early stages. Ms = 1.2, tfin ~ 40 Myr Vázquez-Semadeni et al. (2006 ApJ, 643, 245).
log n [cm-3] log T [K] Gas flows from diffuse medium into dense clumps. log P [K cm-3] B [mG] • Dense clump structure (Banerjee+09, MNRAS, 398, 1082). • In a B0 = 1 mG supercritical simulation, with no AD: Cuts through densest point in clump. The boundaries are “phase transition fronts”, not rigid walls. Clumps accrete.
When a CNM cloud forms from a large-scale compression it may involve enough mass to be strongly self-gravitating in this state. • Upon transition to the cold phase, n increases by 100x, T decreases by 100x, The Jeans mass, MJ ~ n-1/2T3/2, decreases by ~ 104.
Converging inflow setup Lbox Rinf Linflow • Simulations of MC formation and turbulence generation including thermal instability AND self-gravity(Vázquez-Semadeni et al 2007, ApJ 657, 870; see also Heitsch et al. 2008, 2009). • SPH (Gadget) code with sink particles and heating and cooling. • WNM inflow: • n = 1 cm-3 • T = 5000 K • Inflow Mach number in WNM: M = 1.25 (vinf = 9.2 km s-1) • 1% velocity fluctuations.
Run with Lbox = 256 pc; 2.6x107 SPH particles: (Gómez & Vázquez-Semadeni 2013, ApJ, subm., arXiv:1308.6298) WNM in box is initially Jeans-stable. (Mbox ~ 0.01 MJ) Compression cools and compresses the gas. Dense, cold gas soon becomes turbulent and Jeans-unstable. Note: Local fluctuations collapse earlier than whole cloud. Face-on view.
These clouds are never in true virial equilibrium, but appear virialized because of gravitational contraction. SF starts (17.2 Myr) Collapse starts (~11 Myr) |Eg| Apparent virialization: |Eg| ~ 2 Ek Plots for the dense gas (n > 50 cm-3) Ek Eth (Vázquez-Semadeni et al. 2007)
Ekin driven first by inflow, then by gravitational contraction. Lbox = 256 pc, Linf = 112 pc 4.1 Inflow weakens, collapse starts (12.2 Myr) SF starts (17.2 Myr) Turbulence driven by compression, through NTSI, TI and KHI (Walder & Folini1998; Koyama & Inutsuka 2002; Audit & Hennebelle 2005; Heitsch et al. 2005, 2006; Vázquez-Semadeni et al 2006) 2.7 1.4 ~ 0.5 km s-1 (Vázquez-Semadeni et al. 2007)
This scenario implies that • At least the densest, star-forming MCs might be undergoing global gravitational contraction, not be in equilibrium. • Consistent with various recent observational studies (e.g., Hartmann & Burkert 2007; Peretto+2007; Galván-Madrid+09; Schneider+10). Hartmann & Burkert 2007
A more realistic simulation: • No colliding-flow setup. • Avoid the converging-flow “stigma”. • Decaying random turbulence in WNM @ n=3 cm-3. • Clouds form at local shock sites, grow by gravitational accretion. • See J. Heiner’s talk for synthetic HI and CO observations.
Because the cloud contains many Jeans masses, its collapse is nearly pressureless. • Collapse proceeds fastest along shortest dimension (Lin+65): Spheroids Sheets Filaments • Because collapse of filaments is slower than that of spheres (Toalá+12; Pon+12), spheroidal fluctuations within a filament collapse earlier than rest of the filament. Start over? Rest of filament “rains down” onto star-forming clump
Properties of filaments formed in simulation: • Filaments are flow features(not equilibrium objects) where accretion changes from being ~2D to ~1D: cm-2 Gómez & VS 2013, submitted (arXiv:1308.6298). 2 km s-1
Properties of filaments formed by this mechanism: • Accretion flow along filament develops hierarchy of collapse centers and velocity jumps. Gómez & VS 2013, submitted (arXiv:1308.6298).
Properties of filaments formed by this mechanism: Plummer-like radial column density profile: Simulation: Rc ~ 0.3 pc p ~ 2.4 L ~ 15 pc Nc ~ 1022 cm-2 l ~ 40 Msun pc-1 Arzoumanian+11: 0.01 < Rc < 0.08 pc 1.3 < p < 2.4 L ~ 1 -10 pc Nc ~ 1022 cm-2 lrms ~ 30 Msun pc-1 Gómez & VS 2013, submitted (arXiv:1308.6298).
Position-velocity diagram: Asymmetric radial velocity profile at each position. 2-component Gaussian fit: Two-filament appearance due to asymmetry of radial velocity profile. Compare to Hacar+13. Gómez & VS 2013, submitted (arXiv:1308.6298).
If clouds are free-falling, one must confront the Zuckerman-Palmer (1974) conundrum: • Free-fall estimate of SFR: • Observed rate is SFRobs ~ 2—3 Msun yr-1; i.e., ~100x lower. • I.e., need to reduce SFR from free-fall value to observed one (~1/100).
Ionization feedback to the rescue • But not by providing support for the clouds. • ... but rather by cloud destruction. • Colín+13 (MNRAS, 435, 1701): simulations of MC formation and evolution using: • AMR code ART + HD (Kravtsov+1997; Kravtsov 2003) • Stellar feedback with • Imposed Salpeter-like stellar IMF. • Crude radiative transfer.
Qualitatively consistent with observations of gas dispersal around clusters • Leisawitz+1989: • Clusters older than ~ 10 Myr do not have more than a few x103 Msun of dense gas within a 25-pc radius. • Surrounding molecular gas receding at ~ 10 km s-1.
- Mayya+2012: - CO, HI and Spitzer study of environment of Westerlund 1: - Region of radius 25 pc contains only a few x103 Msun. Much less than cluster. - Surrounding molecular gas exhibits velocity difference ~ 15 km s-1.
: Density weighted : Volume weighted Virial parameter a evolves: towards unity while driven by gravity. away from unity when feedback starts. unbinds clouds. Feedback starts
4 types of simulations: • All with: • Cooling • Self-gravity • Resolution: 3.5 orders of magnitude (~250 0.1 pc). 1. Gadget2 SPH simulations: • Lagrangian method • Sink particles • Current manageable resolutions: up to 5x107 particles. 2. ART (AMR) simulations: • Sink particles. • Ionization (and soon SN) feedback. • A realistic stellar IMF.
3. FLASH simulations • Sink Particles • Include magnetic field and ambipolar diffusion. • Ionization feedback. 4. Fixed grid simulations (Adriana Gazol & Jongsoo Kim): • No sink particles. • Manageable resolution up to 10243. • Uniform resolution useful for medium- and low-density gas studies.
Volume Density PDF Density Spectrum Gazol & Kim 2013, ApJ, 765, 413 Gazol & Kim 2013, ApJ, 723, 482 <M>: mean value of the local Mach number
Column Density PDF Gazol & Kim 2013, ApJ, 765, 413 Lognormal widths as a function of Mrms Isothermal (Buckhart & Lazarian 2012) σ2ln(Σ/Σ0)= AΣln(1 + bΣ2M2) Red : AΣ =0.084, bΣ =12.5 Blue: AΣ =0.081 bΣ =14.29 Mrms: rms Mach number at mean temperature. <M>: mean value of the local Mach number
The scenario: • GMCs form by convergence of atomic gas. • GMCs and their clumps accrete in general. • Early stages form: • First thin sheets... • ... then cold HI clump complexes. • Ensemble of CNM clumps is gravitationally unstable and begins contracting. • Contraction needed for both molecule and star formation. • Nearly pressureless contraction naturally proceeds via sheets filaments clumps. • SFR increases in time, until sufficient to destroy clouds. • The simulations: • Available for synthetic observations.
B B rv rv subcritical dense subcritical diffuse supercritical diffuse supercritical diffuse rv rv subcritical dense supercritical dense If a cloud (i.e., a dense region) is formed by a compression with a component along the field lines,the cloud’smass-to-flux ratioincreases together with its mass(Mestel 1985; Hennebelle & Pérault 2000; Hartmann et al. 2001; Shu et al. 2007; Vázquez-Semadeni et al. 2011). Conclude: the cloud evolves from a subcritical to a supercritical regime. Example: for B=3 mG and n=1 cm-3, a length L > 230 pc is supercritical.
• Magnetic criticality condition (Nakano & Nakamura 1978): • This is very similar to the column density threshold for transition from atomic to molecular gas, N ~ 1021 cm-2 ~ 8 Msun pc-2(Franco & Cox 1986; van Dishoek & Black 1988; van Dishoek & Blake 1998; Hartmann et al. 2001; Bergin et al. 2004; Blitz 2007). • When taking into account the mass of the dense gas only, the clouds evolve so that they are: • subcritical while they are atomic(consistent with observations of atomic gas, e.g., Heiles & Troland 2005) • supercritical when they become molecular(consistent with observations of molecular gas; Bourke et al. 2001; Crutcher+03, +10). • Conclusion: even in ideal MHD, the M/f of a cloud is a continuously evolving quantity.
Converging inflow setup Lbox B Rinf Linflow • Numerical simulations of molecular cloud formation with magnetic fields, self-gravity and sink particles(Vázquez-Semadeni et al. 2011, MNRAS, 414, 2511). • Use FLASH code (AMR, MHD, self-gravity, sink particles). • AD by Duffin & Pudritz (2009). • Similar initial conditions as non-magnetic simulations with GADGET. • Add uniform field in the x-direction. • Optionally add fluctuating field. • Maximum resolution equivalent to 81923. See also Inoue & Inutsuka (2008) for configuration with B perpendicular to compression.
Whole cloud High-N gas Mass-to-flux ratio is highly fluctuating through the cloud, and evolving. Evolution of the mean and 3s values of M/f = m. m = 1.3 m = 0.9 m = 0.7