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Title: Nonuniversal star formation efficiency in turbulent ISM

Journal Article · · The Astrophysical Journal (Online)

Here, we present a study of a star formation prescription in which star formation efficiency depends on local gas density and turbulent velocity dispersion, as suggested by direct simulations of SF in turbulent giant molecular clouds (GMCs). We test the model using a simulation of an isolated Milky Way-sized galaxy with a self-consistent treatment of turbulence on unresolved scales. We show that this prescription predicts a wide variation of local star formation efficiency per free-fall time, $$\epsilon_{\rm ff} \sim 0.1 - 10\%$$, and gas depletion time, $$t_{\rm dep} \sim 0.1 - 10$$ Gyr. In addition, it predicts an effective density threshold for star formation due to suppression of $$\epsilon_{\rm ff}$$ in warm diffuse gas stabilized by thermal pressure. We show that the model predicts star formation rates in agreement with observations from the scales of individual star-forming regions to the kiloparsec scales. This agreement is non-trivial, as the model was not tuned in any way and the predicted star formation rates on all scales are determined by the distribution of the GMC-scale densities and turbulent velocities $$\sigma$$ in the cold gas within the galaxy, which is shaped by galactic dynamics. The broad agreement of the star formation prescription calibrated in the GMC-scale simulations with observations, both gives credence to such simulations and promises to put star formation modeling in galaxy formation simulations on a much firmer theoretical footing.

Research Organization:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Grant/Contract Number:
AC02-07CH11359
OSTI ID:
1333137
Report Number(s):
FERMILAB-PUB--16-503-A; arXiv:1512.03101; 1495139
Journal Information:
The Astrophysical Journal (Online), Journal Name: The Astrophysical Journal (Online) Journal Issue: 2 Vol. 826; ISSN 1538-4357
Publisher:
Institute of Physics (IOP)Copyright Statement
Country of Publication:
United States
Language:
English

References (87)

Fully Threaded Tree Algorithms for Adaptive Refinement Fluid Dynamics Simulations journal July 1998
Numerical Modelling of Astrophysical Turbulence book January 2014
A piecewise parabolic method for cosmological hydrodynamics journal August 1995
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method journal July 1979
Efficient solution algorithms for the Riemann problem for real gases journal June 1985
Shear-improved Smagorinsky model for large-eddy simulation of wall-bounded turbulent flows journal January 2007
Bulgeless dwarf galaxies and dark matter cores from supernova-driven outflows journal January 2010
A fluid-dynamical subgrid scale model for highly compressible astrophysical turbulence journal March 2011
The distribution of the ISM in the Milky Way: A three-dimensional large-scale model journal September 2006
Global properties of the H  I distribution in the outer Milky Way : Planar and extra-planar gas journal May 2008
The Rate of Star Formation. journal January 1959
The Rate of Star Formation. II. The Rate of Formation of Stars of Different Mass. journal February 1963
An analytical model for spherical galaxies and bulges journal June 1990
The velocity dispersion of giant molecular clouds. II - Mathematical and numerical refinements journal September 1991
Dissipational galaxy formation. II - Effects of star formation journal June 1992
Pressure-confined clumps in magnetized molecular clouds journal August 1992
Can Nonlinear Hydromagnetic Waves Support a Self-gravitating Cloud? journal August 1996
Galaxy formation and physical bias journal November 1992
The initial mass function and stellar birthrate in the solar neighborhood journal September 1979
A Universal Density Profile from Hierarchical Clustering journal December 1997
The Global Schmidt Law in Star‐forming Galaxies journal May 1998
The Jeans Condition: A New Constraint on Spatial Resolution in Simulations of Isothermal Self-gravitational Hydrodynamics journal November 1997
Dissipation in Compressible Magnetohydrodynamic Turbulence journal November 1998
Adaptive Refinement Tree: A New High‐Resolution N ‐Body Code for Cosmological Simulations
  • Kravtsov, Andrey V.; Klypin, Anatoly A.; Khokhlov, Alexei M.
  • The Astrophysical Journal Supplement Series, Vol. 111, Issue 1 https://doi.org/10.1086/313015
journal July 1997
Simulations of Pregalactic Structure Formation with Radiative Feedback journal February 2001
Constrained Simulations of the Real Universe. II. Observational Signatures of Intergalactic Gas in the Local Supercluster Region journal June 2002
A General Theory of Turbulence‐regulated Star Formation, from Spirals to Ultraluminous Infrared Galaxies journal September 2005
H i Velocity Dispersion in NGC 1058 journal October 2007
A Three‐Dimensional Deflagration Model for Type Ia Supernovae Compared with Observations journal October 2007
Effects of Baryons and Dissipation on the Matter Power Spectrum journal January 2008
Molecular Hydrogen and Global Star Formation Relations in Galaxies journal June 2008
The Resolved Properties of Extragalactic Giant Molecular Clouds journal October 2008
The star Formation law in Nearby Galaxies on Sub-Kpc Scales journal November 2008
What is Driving the h i Velocity Dispersion? journal April 2009
The role of Stellar Feedback in the Formation of Galaxies journal March 2009
Modeling Molecular Hydrogen and star Formation in Cosmological Simulations journal April 2009
Formation of Massive Galaxies at high Redshift: cold Streams, Clumpy Disks, and Compact Spheroids journal September 2009
Adaptively Refined Large eddy Simulations of a Galaxy Cluster: Turbulence Modeling and the Physics of the Intracluster Medium journal November 2009
Outflow Feedback Regulated Massive star Formation in Parsec-Scale Cluster-Forming Clumps journal December 2009
The star Formation rate and gas Surface Density Relation in the Milky way: Implications for Extragalactic Studies journal October 2010
On the star Formation Rates in Molecular Clouds journal November 2010
Star Formation Efficiencies and Lifetimes of Giant Molecular Clouds in the Milky way journal February 2011
The star Formation rate of Supersonic Magnetohydrodynamic Turbulence journal March 2011
Comparing Numerical Methods for Isothermal Magnetized Supersonic Turbulence journal July 2011
The State of the gas and the Relation Between gas and star Formation at low Metallicity: the Small Magellanic Cloud journal October 2011
SHORT-LIVED STAR-FORMING GIANT CLUMPS IN COSMOLOGICAL SIMULATIONS OF z ≈ 2 DISKS journal December 2011
A Universal, Local star Formation law in Galactic Clouds, Nearby Galaxies, High-Redshift Disks, and Starbursts journal December 2011
Radiation-Hydrodynamic Simulations of the Formation of Orion-Like star Clusters. ii. the Initial mass Function from Winds, Turbulence, and Radiation journal July 2012
The star Formation rate of Turbulent Magnetized Clouds: Comparing Theory, Simulations, and Observations journal December 2012
Self-Perpetuating Spiral arms in disk Galaxies journal March 2013
Toward a Complete Accounting of Energy and Momentum from Stellar Feedback in Galaxy Formation Simulations journal May 2013
Analytical Theory for the Initial mass Function. iii. time Dependence and star Formation rate journal June 2013
Long-Term Evolution of Decaying Magnetohydrodynamic Turbulence in the Multiphase Interstellar Medium journal November 2013
Gas Kinematics on Giant Molecular Cloud Scales in m51 with Paws: Cloud Stabilization Through Dynamical Pressure journal November 2013
Star Formation Relations in Nearby Molecular Clouds journal February 2014
Modeling jet and Outflow Feedback During star Cluster Formation journal July 2014
On the Interplay Between star Formation and Feedback in Galaxy Formation Simulations journal April 2015
THE PANCHROMATIC HUBBLE ANDROMEDA TREASURY. XI. THE SPATIALLY RESOLVED RECENT STAR FORMATION HISTORY OF M31 journal June 2015
Scaling Relations of the Properties for co Resolved Structures in Nearby Spiral Galaxies journal July 2015
The Agora High-Resolution Galaxy Simulations Comparison Project journal December 2013
Adiabatic Heating of Contracting Turbulent Fluids journal April 2012
A Simple law of star Formation journal October 2012
Turbulence and star formation in molecular clouds journal April 1981
Making Galaxies In a Cosmological Context: the need for early stellar feedback journal October 2012
The characteristic black hole mass resulting from direct collapse in the early Universe journal October 2013
A supersonic turbulence origin of Larson's laws journal October 2013
The meaning and consequences of star formation criteria in galaxy models with resolved stellar feedback journal May 2013
Large-eddy simulations of isolated disc galaxies with thermal and turbulent feedback journal July 2014
Galaxies on FIRE (Feedback In Realistic Environments): stellar feedback explains cosmologically inefficient star formation journal September 2014
Cosmological fluid mechanics with adaptively refined large eddy simulations journal April 2014
The small and the beautiful: how the star formation law affects galactic disc structure journal October 2015
Supernova feedback in an inhomogeneous interstellar medium journal April 2015
Inefficient star formation through turbulence, magnetic fields and feedback journal May 2015
Three-dimensional distribution of the ISM in the Milky Way galaxy. III. The total neutral gas disk journal November 2015
The gravitational instability of an infinite homogeneous turbulent medium journal December 1951
Kinetic Energy Decay Rates of Supersonic and Super-Alfvénic Turbulence in Star-Forming Clouds journal March 1998
Star formation in unbound giant molecular clouds: the origin of OB associations? journal May 2005
Star formation and feedback in smoothed particle hydrodynamic simulations – I. Isolated galaxies journal November 2006
Large-scale galactic turbulence: can self-gravity drive the observed H i velocity dispersions? journal January 2009
Inefficient star formation: the combined effects of magnetic fields and radiative feedback journal September 2009
ISM properties in hydrodynamic galaxy simulations: turbulence cascades, cloud formation, role of gravity and feedback: ISM properties in galaxy simulations journal September 2010
Why are most molecular clouds not gravitationally bound?: Unbound molecular clouds journal April 2011
Turbulence production and turbulent pressure support in the intergalactic medium: Turbulence production and pressure in the IGM journal April 2011
Self-regulated star formation in galaxies via momentum input from massive stars: Self-regulated star formation in galaxies journal September 2011
A semi-analytic model of the turbulent multi-phase interstellar medium: A model of the turbulent multi-phase ISM journal March 2012
Disc formation and the origin of clumpy galaxies at high redshift journal July 2009
Star Formation in the Milky Way and Nearby Galaxies journal September 2012

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Star Cluster Formation in Cosmological Simulations. II. Effects of Star Formation Efficiency and Stellar Feedback text January 2017
On the Appearance of Thresholds in the Dynamical Model of Star Formation text January 2018
Globular Cluster Formation and Evolution in the Context of Cosmological Galaxy Assembly: Open Questions text January 2018
The Fate of Supernova-Heated Gas in Star-Forming Regions of the LMC: Lessons for Galaxy Formation? text January 2018
An uncertainty principle for star formation - II. A new method for characterising the cloud-scale physics of star formation and feedback across cosmic history text January 2018
The [CII]--SFR correlation in dwarf galaxies across cosmic time text January 2019
Fast and inefficient star formation due to short-lived molecular clouds and rapid feedback text January 2019
Forming early-type galaxies without AGN feedback: a combination of merger-driven outflows and inefficient star formation text January 2019
FIRE-2 simulations: physics versus numerics in galaxy formation text January 2018
What FIREs up star formation: the emergence of the Kennicutt–Schmidt law from feedback text January 2018
Forming early-type galaxies without AGN feedback: a combination of merger-driven outflows and inefficient star formation text January 2020