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Title: Star cluster formation in cosmological simulations. I. Properties of young clusters

Abstract

We present a new implementation of star formation in cosmological simulations by considering star clusters as a unit of star formation. Cluster particles grow in mass over several million years at the rate determined by local gas properties, with high time resolution. The particle growth is terminated by its own energy and momentum feedback on the interstellar medium. We test this implementation for Milky Way-sized galaxies at high redshift by comparing the properties of model clusters with observations of young star clusters. We find that the cluster initial mass function is best described by a Schechter function rather than a single power law. In agreement with observations, at low masses the logarithmic slope is $$\alpha \approx 1.8\mbox{–}2$$, while the cutoff at high mass scales with the star formation rate (SFR). A related trend is a positive correlation between the surface density of the SFR and fraction of stars contained in massive clusters. Both trends indicate that the formation of massive star clusters is preferred during bursts of star formation. These bursts are often associated with major-merger events. We also find that the median timescale for cluster formation ranges from 0.5 to 4 Myr and decreases systematically with increasing star formation efficiency. Local variations in the gas density and cluster accretion rate naturally lead to the scatter of the overall formation efficiency by an order of magnitude, even when the instantaneous efficiency is kept constant. As a result, comparison of the formation timescale with the observed age spread of young star clusters provides an additional important constraint on the modeling of star formation and feedback schemes.

Authors:
ORCiD logo [1];  [1];  [2];  [3]; ORCiD logo [4]; ORCiD logo [4]
  1. Univ. of Michigan, Ann Arbor, MI (United States)
  2. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Univ. of Chicago, Chicago, IL (United States)
  3. Univ. of Michigan, Ann Arbor, MI (United States); Peking Univ., Beijing (China)
  4. Univ. of Chicago, Chicago, IL (United States)
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1365574
Report Number(s):
arXiv:1608.03244; FERMILAB-PUB-16-688-A
Journal ID: ISSN 1538-4357; 1602906
Grant/Contract Number:  
AC02-07CH11359
Resource Type:
Accepted Manuscript
Journal Name:
The Astrophysical Journal (Online)
Additional Journal Information:
Journal Name: The Astrophysical Journal (Online); Journal Volume: 834; Journal Issue: 1; Journal ID: ISSN 1538-4357
Publisher:
Institute of Physics (IOP)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; cosmological: theory; galaxies: formation; galaxies: star clusters: general

Citation Formats

Li, Hui, Gnedin, Oleg Y., Gnedin, Nickolay Y., Meng, Xi, Semenov, Vadim A., and Kravtsov, Andrey V. Star cluster formation in cosmological simulations. I. Properties of young clusters. United States: N. p., 2017. Web. doi:10.3847/1538-4357/834/1/69.
Li, Hui, Gnedin, Oleg Y., Gnedin, Nickolay Y., Meng, Xi, Semenov, Vadim A., & Kravtsov, Andrey V. Star cluster formation in cosmological simulations. I. Properties of young clusters. United States. doi:10.3847/1538-4357/834/1/69.
Li, Hui, Gnedin, Oleg Y., Gnedin, Nickolay Y., Meng, Xi, Semenov, Vadim A., and Kravtsov, Andrey V. Tue . "Star cluster formation in cosmological simulations. I. Properties of young clusters". United States. doi:10.3847/1538-4357/834/1/69. https://www.osti.gov/servlets/purl/1365574.
@article{osti_1365574,
title = {Star cluster formation in cosmological simulations. I. Properties of young clusters},
author = {Li, Hui and Gnedin, Oleg Y. and Gnedin, Nickolay Y. and Meng, Xi and Semenov, Vadim A. and Kravtsov, Andrey V.},
abstractNote = {We present a new implementation of star formation in cosmological simulations by considering star clusters as a unit of star formation. Cluster particles grow in mass over several million years at the rate determined by local gas properties, with high time resolution. The particle growth is terminated by its own energy and momentum feedback on the interstellar medium. We test this implementation for Milky Way-sized galaxies at high redshift by comparing the properties of model clusters with observations of young star clusters. We find that the cluster initial mass function is best described by a Schechter function rather than a single power law. In agreement with observations, at low masses the logarithmic slope is $\alpha \approx 1.8\mbox{–}2$, while the cutoff at high mass scales with the star formation rate (SFR). A related trend is a positive correlation between the surface density of the SFR and fraction of stars contained in massive clusters. Both trends indicate that the formation of massive star clusters is preferred during bursts of star formation. These bursts are often associated with major-merger events. We also find that the median timescale for cluster formation ranges from 0.5 to 4 Myr and decreases systematically with increasing star formation efficiency. Local variations in the gas density and cluster accretion rate naturally lead to the scatter of the overall formation efficiency by an order of magnitude, even when the instantaneous efficiency is kept constant. As a result, comparison of the formation timescale with the observed age spread of young star clusters provides an additional important constraint on the modeling of star formation and feedback schemes.},
doi = {10.3847/1538-4357/834/1/69},
journal = {The Astrophysical Journal (Online)},
number = 1,
volume = 834,
place = {United States},
year = {2017},
month = {1}
}

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Works referenced in this record:

Probing the role of the galactic environment in the formation of stellar clusters, using M83 as a test bench
journal, July 2015

  • Adamo, A.; Kruijssen, J. M. D.; Bastian, N.
  • Monthly Notices of the Royal Astronomical Society, Vol. 452, Issue 1
  • DOI: 10.1093/mnras/stv1203

On the Interplay Between star Formation and Feedback in Galaxy Formation Simulations
journal, April 2015


The Impact of Stellar Feedback on the Structure, Size, and Morphology of Galaxies in Milky-Way-Sized dark Matter Halos
journal, June 2016


Toward a Complete Accounting of Energy and Momentum from Stellar Feedback in Galaxy Formation Simulations
journal, May 2013

  • Agertz, Oscar; Kravtsov, Andrey V.; Leitner, Samuel N.
  • The Astrophysical Journal, Vol. 770, Issue 1
  • DOI: 10.1088/0004-637X/770/1/25

The formation of globular clusters in merging and interacting galaxies
journal, January 1992

  • Ashman, Keith M.; Zepf, Stephen E.
  • The Astrophysical Journal, Vol. 384
  • DOI: 10.1086/170850

On the star formation rate - brightest cluster relation: estimating the peak star formation rate in post-merger galaxies
journal, October 2008


Modelling accretion in protobinary systems
journal, November 1995

  • Bate, Matthew R.; Bonnell, Ian A.; Price, Nigel M.
  • Monthly Notices of the Royal Astronomical Society, Vol. 277, Issue 2
  • DOI: 10.1093/mnras/277.2.362

THE AVERAGE STAR FORMATION HISTORIES OF GALAXIES IN DARK MATTER HALOS FROM z = 0-8
journal, May 2013

  • Behroozi, Peter S.; Wechsler, Risa H.; Conroy, Charlie
  • The Astrophysical Journal, Vol. 770, Issue 1
  • DOI: 10.1088/0004-637X/770/1/57

The Rockstar Phase-Space Temporal halo Finder and the Velocity Offsets of Cluster Cores
journal, December 2012


Gravitationally Consistent halo Catalogs and Merger Trees for Precision Cosmology
journal, December 2012


Using galaxy pairs to probe star formation during major halo mergers
journal, April 2015

  • Behroozi, Peter S.; Zhu, Guangtun; Ferguson, Henry C.
  • Monthly Notices of the Royal Astronomical Society, Vol. 450, Issue 2
  • DOI: 10.1093/mnras/stv728

Simulations of disk Galaxies with Cosmic ray Driven Galactic Winds
journal, October 2013


Galaxy formation and physical bias
journal, November 1992

  • Cen, Renyue; Ostriker, Jeremiah P.
  • The Astrophysical Journal, Vol. 399
  • DOI: 10.1086/186620

Radiative feedback and the low efficiency of galaxy formation in low-mass haloes at high redshift
journal, June 2014

  • Ceverino, Daniel; Klypin, Anatoly; Klimek, Elizabeth S.
  • Monthly Notices of the Royal Astronomical Society, Vol. 442, Issue 2
  • DOI: 10.1093/mnras/stu956

Star Formation Relations in Nearby Molecular Clouds
journal, February 2014

  • Evans, Neal J.; Heiderman, Amanda; Vutisalchavakul, Nalin
  • The Astrophysical Journal, Vol. 782, Issue 2
  • DOI: 10.1088/0004-637X/782/2/114

Inefficient star formation through turbulence, magnetic fields and feedback
journal, May 2015

  • Federrath, Christoph
  • Monthly Notices of the Royal Astronomical Society, Vol. 450, Issue 4
  • DOI: 10.1093/mnras/stv941

Modeling Collapse and Accretion in Turbulent gas Clouds: Implementation and Comparison of sink Particles in amr and sph
journal, March 2010


The star Formation rate of Turbulent Magnetized Clouds: Comparing Theory, Simulations, and Observations
journal, December 2012


On the time Variability of the star Formation Efficiency
journal, December 2010


The luminosity function of young star clusters: implications for the maximum mass and luminosity of clusters
journal, April 2006


Cosmic Reionization on Computers. i. Design and Calibration of Simulations
journal, September 2014


Cosmic Reionization on Computers: the Faint end of the Galaxy Luminosity Function
journal, July 2016


Multi-dimensional cosmological radiative transfer with a Variable Eddington Tensor formalism
journal, October 2001


Environmental Dependence of the Kennicutt-Schmidt Relation in Galaxies
journal, January 2011


Implementing the dc mode in Cosmological Simulations with Supercomoving Variables
journal, June 2011

  • Gnedin, Nickolay Y.; Kravtsov, Andrey V.; Rudd, Douglas H.
  • The Astrophysical Journal Supplement Series, Vol. 194, Issue 2
  • DOI: 10.1088/0067-0049/194/2/46

Co-Evolution of Galactic Nuclei and Globular Cluster Systems
journal, March 2014

  • Gnedin, Oleg Y.; Ostriker, Jeremiah P.; Tremaine, Scott
  • The Astrophysical Journal, Vol. 785, Issue 1
  • DOI: 10.1088/0004-637X/785/1/71

On the fraction of star clusters surviving the embedded phase
journal, March 2010


Forming disc galaxies in  CDM simulations
journal, February 2007


Cuspy no more: how outflows affect the central dark matter and baryon distribution in Λ cold dark matter galaxies: Galaxy cores in ΛCDM
journal, March 2012


Rapid star formation and global gravitational collapse: Rapid star formation
journal, December 2011

  • Hartmann, Lee; Ballesteros-Paredes, Javier; Heitsch, Fabian
  • Monthly Notices of the Royal Astronomical Society, Vol. 420, Issue 2
  • DOI: 10.1111/j.1365-2966.2011.20131.x

Analytical Theory for the Initial mass Function. iii. time Dependence and star Formation rate
journal, June 2013


Studying the YMC population of M83: how long clusters remain embedded, their interaction with the ISM and implications for GC formation theories
journal, March 2015

  • Hollyhead, K.; Bastian, N.; Adamo, A.
  • Monthly Notices of the Royal Astronomical Society, Vol. 449, Issue 1
  • DOI: 10.1093/mnras/stv331

Galaxies on FIRE (Feedback In Realistic Environments): stellar feedback explains cosmologically inefficient star formation
journal, September 2014

  • Hopkins, Philip F.; Kereš, Dušan; Oñorbe, José
  • Monthly Notices of the Royal Astronomical Society, Vol. 445, Issue 1
  • DOI: 10.1093/mnras/stu1738

Self-regulated star formation in galaxies via momentum input from massive stars: Self-regulated star formation in galaxies
journal, September 2011

  • Hopkins, Philip F.; Quataert, Eliot; Murray, Norman
  • Monthly Notices of the Royal Astronomical Society, Vol. 417, Issue 2
  • DOI: 10.1111/j.1365-2966.2011.19306.x

Adaptive mesh Refinement Simulations of Galaxy Formation: Exploring Numerical and Physical Parameters
journal, April 2012


Dissipational galaxy formation. II - Effects of star formation
journal, June 1992


Cosmological galaxy evolution with superbubble feedback – I. Realistic galaxies with moderate feedback
journal, September 2015

  • Keller, B. W.; Wadsley, J.; Couchman, H. M. P.
  • Monthly Notices of the Royal Astronomical Society, Vol. 453, Issue 4
  • DOI: 10.1093/mnras/stv1789

On the Origin of the Global Schmidt Law of Star Formation
journal, May 2003

  • Kravtsov, Andrey V.
  • The Astrophysical Journal, Vol. 590, Issue 1
  • DOI: 10.1086/376674

Formation of Globular Clusters in Hierarchical Cosmology
journal, April 2005

  • Kravtsov, Andrey V.; Gnedin, Oleg Y.
  • The Astrophysical Journal, Vol. 623, Issue 2
  • DOI: 10.1086/428636

Adaptive Refinement Tree: A New High‐Resolution N ‐Body Code for Cosmological Simulations
journal, July 1997

  • Kravtsov, Andrey V.; Klypin, Anatoly A.; Khokhlov, Alexei M.
  • The Astrophysical Journal Supplement Series, Vol. 111, Issue 1
  • DOI: 10.1086/313015

A supersonic turbulence origin of Larson's laws
journal, October 2013

  • Kritsuk, A. G.; Lee, C. T.; Norman, M. L.
  • Monthly Notices of the Royal Astronomical Society, Vol. 436, Issue 4
  • DOI: 10.1093/mnras/stt1805

On the variation of the initial mass function
journal, April 2001


Globular cluster formation in the context of galaxy formation and evolution
journal, December 2014


Globular clusters as the relics of regular star formation in ‘normal’ high-redshift galaxies
journal, October 2015

  • Kruijssen, J. M. Diederik
  • Monthly Notices of the Royal Astronomical Society, Vol. 454, Issue 2
  • DOI: 10.1093/mnras/stv2026

A Universal, Local star Formation law in Galactic Clouds, Nearby Galaxies, High-Redshift Disks, and Starbursts
journal, December 2011

  • Krumholz, Mark R.; Dekel, Avishai; McKee, Christopher F.
  • The Astrophysical Journal, Vol. 745, Issue 1
  • DOI: 10.1088/0004-637X/745/1/69

A General Theory of Turbulence‐regulated Star Formation, from Spirals to Ultraluminous Infrared Galaxies
journal, September 2005

  • Krumholz, Mark R.; McKee, Christopher F.
  • The Astrophysical Journal, Vol. 630, Issue 1
  • DOI: 10.1086/431734

Embedded Clusters in Molecular Clouds
journal, September 2003


On the star Formation Rates in Molecular Clouds
journal, November 2010


The Luminosity Function of Star Clusters in Spiral Galaxies
journal, September 2002

  • Larsen, Søren S.
  • The Astronomical Journal, Vol. 124, Issue 3
  • DOI: 10.1086/342381

Turbulence and star formation in molecular clouds
journal, April 1981


Time-Varying Dynamical star Formation rate
journal, February 2015


Modeling the Formation of Globular Cluster Systems in the Virgo Cluster
journal, October 2014


Control of star formation by supersonic turbulence
journal, January 2004


Theory of Star Formation
journal, September 2007


Modeling the Metallicity Distribution of Globular Clusters
journal, July 2010


Star Formation Efficiencies and Lifetimes of Giant Molecular Clouds in the Milky way
journal, February 2011


Star Formation in Self-Gravitating Turbulent Fluids
journal, April 2015


Simulations of dissipative galaxy formation in hierarchically clustering universes - I: Tests of the code
journal, November 1993

  • Navarro, J. F.; White, S. D. M.
  • Monthly Notices of the Royal Astronomical Society, Vol. 265, Issue 2
  • DOI: 10.1093/mnras/265.2.271

The First Billion Years project: the escape fraction of ionizing photons in the epoch of reionization
journal, June 2015

  • Paardekooper, Jan-Pieter; Khochfar, Sadegh; Dalla Vecchia, Claudio
  • Monthly Notices of the Royal Astronomical Society, Vol. 451, Issue 3
  • DOI: 10.1093/mnras/stv1114

The star Formation rate of Supersonic Magnetohydrodynamic Turbulence
journal, March 2011


A Simple law of star Formation
journal, October 2012


Planck 2013 results. XV. CMB power spectra and likelihood
journal, October 2014


Planck 2015 results : XIII. Cosmological parameters
journal, September 2016


Young Massive Star Clusters
journal, August 2010


Dark matter cores all the way down
journal, March 2016

  • Read, J. I.; Agertz, O.; Collins, M. L. M.
  • Monthly Notices of the Royal Astronomical Society, Vol. 459, Issue 3
  • DOI: 10.1093/mnras/stw713

A parsec-resolution simulation of the Antennae galaxies: formation of star clusters during the merger
journal, November 2014

  • Renaud, Florent; Bournaud, Frédéric; Duc, Pierre-Alain
  • Monthly Notices of the Royal Astronomical Society, Vol. 446, Issue 2
  • DOI: 10.1093/mnras/stu2208

Effects of Baryons and Dissipation on the Matter Power Spectrum
journal, January 2008

  • Rudd, Douglas H.; Zentner, Andrew R.; Kravtsov, Andrey V.
  • The Astrophysical Journal, Vol. 672, Issue 1
  • DOI: 10.1086/523836

Cosmic ray driven outflows in global galaxy disc models
journal, November 2013

  • Salem, Munier; Bryan, Greg L.
  • Monthly Notices of the Royal Astronomical Society, Vol. 437, Issue 4
  • DOI: 10.1093/mnras/stt2121

Effects of supernova feedback on the formation of galaxy discs
journal, September 2008

  • Scannapieco, Cecilia; Tissera, Patricia B.; White, Simon D. M.
  • Monthly Notices of the Royal Astronomical Society, Vol. 389, Issue 3
  • DOI: 10.1111/j.1365-2966.2008.13678.x

Cosmological fluid mechanics with adaptively refined large eddy simulations
journal, April 2014

  • Schmidt, W.; Almgren, A. S.; Braun, H.
  • Monthly Notices of the Royal Astronomical Society, Vol. 440, Issue 4
  • DOI: 10.1093/mnras/stu501

Nonuniversal star Formation Efficiency in Turbulent ism
journal, July 2016

  • Semenov, Vadim A.; Kravtsov, Andrey V.; Gnedin, Nickolay Y.
  • The Astrophysical Journal, Vol. 826, Issue 2
  • DOI: 10.3847/0004-637X/826/2/200

Physical Models of Galaxy Formation in a Cosmological Framework
journal, August 2015


The large-scale structure of the Universe
journal, April 2006

  • Springel, Volker; Frenk, Carlos S.; White, Simon D. M.
  • Nature, Vol. 440, Issue 7088
  • DOI: 10.1038/nature04805

Star formation and feedback in smoothed particle hydrodynamic simulations – I. Isolated galaxies
journal, November 2006


Making Galaxies In a Cosmological Context: the need for early stellar feedback
journal, October 2012

  • Stinson, G. S.; Brook, C.; Macciò, A. V.
  • Monthly Notices of the Royal Astronomical Society, Vol. 428, Issue 1
  • DOI: 10.1093/mnras/sts028

The star Cluster Mass–Galactocentric Radius Relation: Implications for Cluster Formation
journal, December 2015


ATLASGAL – towards a complete sample of massive star forming clumps★
journal, July 2014

  • Urquhart, J. S.; Moore, T. J. T.; Csengeri, T.
  • Monthly Notices of the Royal Astronomical Society, Vol. 443, Issue 2
  • DOI: 10.1093/mnras/stu1207

CHANDRA CLUSTER COSMOLOGY PROJECT III: COSMOLOGICAL PARAMETER CONSTRAINTS
journal, February 2009


Reconciling Dwarf Galaxies with Λcdm Cosmology: Simulating a Realistic Population of Satellites Around a Milky Way–Mass Galaxy
journal, August 2016


    Works referencing / citing this record:

    The evolution of the UV luminosity function of globular clusters in the E-MOSAICS simulations
    journal, June 2019

    • Pfeffer, Joel; Bastian, Nate; Crain, Robert A.
    • Monthly Notices of the Royal Astronomical Society, Vol. 487, Issue 4
    • DOI: 10.1093/mnras/stz1592

    The evolution of the UV luminosity function of globular clusters in the E-MOSAICS simulations
    journal, June 2019

    • Pfeffer, Joel; Bastian, Nate; Crain, Robert A.
    • Monthly Notices of the Royal Astronomical Society, Vol. 487, Issue 4
    • DOI: 10.1093/mnras/stz1592