DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

This content will become publicly available on Fri Aug 02 00:00:00 EDT 2024

Title: Cosmic variance and the inhomogeneous UV luminosity function of galaxies during reionization

Abstract

When the first galaxies formed and starlight escaped into the intergalactic medium to reionize it, galaxy formation and reionization were both highly inhomogeneous in time and space, and fully coupled by mutual feedback. To show how this imprinted the UV luminosity function (UVLF) of reionization-era galaxies, we use our large-scale, radiation-hydrodynamics simulation CoDa II to derive the time- and space-varying halo mass function and UVLF, from z ≃ 6–15. That UVLF correlates strongly with local reionization redshift: earlier-reionizing regions have UVLFs that are higher, more extended to brighter magnitudes, and flatter at the faint end than later-reionizing regions observed at the same z. In general, as a region reionizes, the faint-end slope of its local UVLF flattens, and, by z = 6 (when reionization ended), the global UVLF, too, exhibits a flattened faint-end slope, ‘rolling-over’ at MUV ≳ -17. CoDa II’s UVLF is broadly consistent with cluster-lensed galaxy observations of the Hubble Frontier Fields at z = 6–8, including the faint end, except for the faintest data point at z = 6, based on one galaxy at MUV = -12.5. According to CoDa II, the probability of observing the latter is $$\sim 5~{{\ \rm per\ cent}}$$. However, the effective volume searched at this magnitude is very small, and is thus subject to significant cosmic variance. Here, we find that previous methods adopted to calculate the uncertainty due to cosmic variance underestimated it on such small scales by a factor of 2–4, primarily by underestimating the variance in halo abundance when the sample volume is small.

Authors:
ORCiD logo [1];  [1]; ORCiD logo [2]; ORCiD logo [3];  [2]; ORCiD logo [4];  [5]; ORCiD logo [6];  [7]; ORCiD logo [8]; ORCiD logo [9]
  1. Univ. of Texas, Austin, TX (United States)
  2. Université de Strasbourg (France)
  3. University of Heidelberg (Germany). Center for Astronomy; Max-Planck-Institut für Astronomie, Heidelberg (Germany)
  4. Univ. Lille (France); Centre National de la Recherche Scientifique (CNRS) (France); Leibniz Institute for Astrophysics Potsdam (AIP), Potsdam (Germany); Univ. Paris-Saclay, Orsay (France)
  5. Chosun University, Gwangju (Korea, Republic of)
  6. Univ. of Sussex, Brighton (United Kingdom)
  7. Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States); Univ. of Tokyo, Kashiwa (Japan)
  8. Princeton Univ., NJ (United States)
  9. Univ. Autonoma de Madrid (Spain)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); National Aeronautics and Space Administration (NASA)
OSTI Identifier:
2305391
Grant/Contract Number:  
AC02-05CH11231; AC05-00OR22725; DGE-1610403; 80NSSC22K175
Resource Type:
Accepted Manuscript
Journal Name:
Monthly Notices of the Royal Astronomical Society
Additional Journal Information:
Journal Volume: 524; Journal Issue: 4; Journal ID: ISSN 0035-8711
Publisher:
Oxford University Press
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; galaxies: high-redshift; galaxies: luminosity function; mass function; dark ages; reionization; first stars; cosmology: theory

Citation Formats

Dawoodbhoy, Taha, Shapiro, Paul R., Ocvirk, Pierre, Lewis, Joseph W., Aubert, Dominique, Sorce, Jenny G., Ahn, Kyungjin, Iliev, Ilian T., Park, Hyunbae, Teyssier, Romain, and Yepes, Gustavo. Cosmic variance and the inhomogeneous UV luminosity function of galaxies during reionization. United States: N. p., 2023. Web. doi:10.1093/mnras/stad2331.
Dawoodbhoy, Taha, Shapiro, Paul R., Ocvirk, Pierre, Lewis, Joseph W., Aubert, Dominique, Sorce, Jenny G., Ahn, Kyungjin, Iliev, Ilian T., Park, Hyunbae, Teyssier, Romain, & Yepes, Gustavo. Cosmic variance and the inhomogeneous UV luminosity function of galaxies during reionization. United States. https://doi.org/10.1093/mnras/stad2331
Dawoodbhoy, Taha, Shapiro, Paul R., Ocvirk, Pierre, Lewis, Joseph W., Aubert, Dominique, Sorce, Jenny G., Ahn, Kyungjin, Iliev, Ilian T., Park, Hyunbae, Teyssier, Romain, and Yepes, Gustavo. Wed . "Cosmic variance and the inhomogeneous UV luminosity function of galaxies during reionization". United States. https://doi.org/10.1093/mnras/stad2331.
@article{osti_2305391,
title = {Cosmic variance and the inhomogeneous UV luminosity function of galaxies during reionization},
author = {Dawoodbhoy, Taha and Shapiro, Paul R. and Ocvirk, Pierre and Lewis, Joseph W. and Aubert, Dominique and Sorce, Jenny G. and Ahn, Kyungjin and Iliev, Ilian T. and Park, Hyunbae and Teyssier, Romain and Yepes, Gustavo},
abstractNote = {When the first galaxies formed and starlight escaped into the intergalactic medium to reionize it, galaxy formation and reionization were both highly inhomogeneous in time and space, and fully coupled by mutual feedback. To show how this imprinted the UV luminosity function (UVLF) of reionization-era galaxies, we use our large-scale, radiation-hydrodynamics simulation CoDa II to derive the time- and space-varying halo mass function and UVLF, from z ≃ 6–15. That UVLF correlates strongly with local reionization redshift: earlier-reionizing regions have UVLFs that are higher, more extended to brighter magnitudes, and flatter at the faint end than later-reionizing regions observed at the same z. In general, as a region reionizes, the faint-end slope of its local UVLF flattens, and, by z = 6 (when reionization ended), the global UVLF, too, exhibits a flattened faint-end slope, ‘rolling-over’ at MUV ≳ -17. CoDa II’s UVLF is broadly consistent with cluster-lensed galaxy observations of the Hubble Frontier Fields at z = 6–8, including the faint end, except for the faintest data point at z = 6, based on one galaxy at MUV = -12.5. According to CoDa II, the probability of observing the latter is $\sim 5~{{\ \rm per\ cent}}$. However, the effective volume searched at this magnitude is very small, and is thus subject to significant cosmic variance. Here, we find that previous methods adopted to calculate the uncertainty due to cosmic variance underestimated it on such small scales by a factor of 2–4, primarily by underestimating the variance in halo abundance when the sample volume is small.},
doi = {10.1093/mnras/stad2331},
journal = {Monthly Notices of the Royal Astronomical Society},
number = 4,
volume = 524,
place = {United States},
year = {Wed Aug 02 00:00:00 EDT 2023},
month = {Wed Aug 02 00:00:00 EDT 2023}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on August 2, 2024
Publisher's Version of Record

Save / Share:

Works referenced in this record:

The halo mass function through the cosmic ages
journal, June 2013

  • Watson, William A.; Iliev, Ilian T.; D’Aloisio, Anson
  • Monthly Notices of the Royal Astronomical Society, Vol. 433, Issue 2
  • DOI: 10.1093/mnras/stt791

The Large-Scale bias of dark Matter Halos: Numerical Calibration and Model Tests
journal, November 2010

  • Tinker, Jeremy L.; Robertson, Brant E.; Kravtsov, Andrey V.
  • The Astrophysical Journal, Vol. 724, Issue 2
  • DOI: 10.1088/0004-637X/724/2/878

z ∼ 2–9 Galaxies Magnified by the Hubble Frontier Field Clusters. II. Luminosity Functions and Constraints on a Faint-end Turnover
journal, November 2022

  • Bouwens, R. J.; Illingworth, G.; Ellis, R. S.
  • The Astrophysical Journal, Vol. 940, Issue 1
  • DOI: 10.3847/1538-4357/ac86d1

Reionization in a cold dark matter universe: The feedback of galaxy formation on the intergalactic medium
journal, May 1994

  • Shapiro, Paul R.; Giroux, Mark L.; Babul, Arif
  • The Astrophysical Journal, Vol. 427
  • DOI: 10.1086/174120

Binary Population and Spectral Synthesis Version 2.1: Construction, Observational Verification, and New Results
journal, January 2017

  • Eldridge, J. J.; Stanway, E. R.; Xiao, L.
  • Publications of the Astronomical Society of Australia, Vol. 34
  • DOI: 10.1017/pasa.2017.51

Galactic Outflows and Photoionization Heating in the Reionization Epoch
journal, December 2011


The abundance of (not just) dark matter haloes
journal, March 2013

  • Sawala, Till; Frenk, Carlos S.; Crain, Robert A.
  • Monthly Notices of the Royal Astronomical Society, Vol. 431, Issue 2
  • DOI: 10.1093/mnras/stt259

The Inhomogeneous Reionization Times of Present-day Galaxies
journal, March 2018

  • Aubert, Dominique; Deparis, Nicolas; Ocvirk, Pierre
  • The Astrophysical Journal, Vol. 856, Issue 2
  • DOI: 10.3847/2041-8213/aab14d

The Frontier Fields: Survey Design and Initial Results
journal, March 2017


Cosmic Reionization Redux
journal, September 2006

  • Gnedin, Nickolay Y.; Fan, Xiaohui
  • The Astrophysical Journal, Vol. 648, Issue 1
  • DOI: 10.1086/505790

An analytic expression for the luminosity function for galaxies.
journal, January 1976

  • Schechter, P.
  • The Astrophysical Journal, Vol. 203
  • DOI: 10.1086/154079

Cosmological hydrodynamics with adaptive mesh refinement: A new high resolution code called RAMSES
journal, April 2002


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


Galaxy Properties and uv Escape Fractions During the Epoch of Reionization: Results from the Renaissance Simulations
journal, December 2016


Simulating cosmic reionization: how large a volume is large enough?
journal, January 2014

  • Iliev, Ilian T.; Mellema, Garrelt; Ahn, Kyungjin
  • Monthly Notices of the Royal Astronomical Society, Vol. 439, Issue 1
  • DOI: 10.1093/mnras/stt2497

Zooming on the internal structure of z≃6 galaxies
journal, November 2016

  • Pallottini, A.; Ferrara, A.; Gallerani, S.
  • Monthly Notices of the Royal Astronomical Society, Vol. 465, Issue 3
  • DOI: 10.1093/mnras/stw2847

The Aurora radiation-hydrodynamical simulations of reionization: calibration and first results
journal, November 2016

  • Pawlik, Andreas H.; Rahmati, Alireza; Schaye, Joop
  • Monthly Notices of the Royal Astronomical Society, Vol. 466, Issue 1
  • DOI: 10.1093/mnras/stw2869

Full-data Results of Hubble Frontier Fields: UV Luminosity Functions at z ∼ 6–10 and a Consistent Picture of Cosmic Reionization
journal, February 2018

  • Ishigaki, Masafumi; Kawamata, Ryota; Ouchi, Masami
  • The Astrophysical Journal, Vol. 854, Issue 1
  • DOI: 10.3847/1538-4357/aaa544

IMPACT OF H 2 -BASED STAR FORMATION MODEL ON THE z ⩾ 6 LUMINOSITY FUNCTION AND THE IONIZING PHOTON BUDGET FOR REIONIZATION
journal, March 2013


The extreme faint end of the UV luminosity function at z ∼ 6 through gravitational telescopes: a comprehensive assessment of strong lensing uncertainties
journal, July 2018

  • Atek, Hakim; Richard, Johan; Kneib, Jean-Paul
  • Monthly Notices of the Royal Astronomical Society, Vol. 479, Issue 4
  • DOI: 10.1093/mnras/sty1820

Hydrogen reionization ends by z = 5.3: Lyman-α optical depth measured by the XQR-30 sample
journal, June 2022

  • Bosman, Sarah E. I.; Davies, Frederick B.; Becker, George D.
  • Monthly Notices of the Royal Astronomical Society, Vol. 514, Issue 1
  • DOI: 10.1093/mnras/stac1046

Impact of the reduced speed of light approximation on ionization front velocities in cosmological simulations of the epoch of reionization
journal, February 2019


Planck 2013 results. XVI. Cosmological parameters
journal, October 2014


Directly Observing the Galaxies Likely Responsible for Reionization
journal, January 2017


Toward a Halo Mass Function for Precision Cosmology: The Limits of Universality
journal, December 2008

  • Tinker, Jeremy; Kravtsov, Andrey V.; Klypin, Anatoly
  • The Astrophysical Journal, Vol. 688, Issue 2
  • DOI: 10.1086/591439

Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes
journal, May 2001


Suppression of star formation in low-mass galaxies caused by the reionization of their local neighbourhood
journal, July 2018

  • Dawoodbhoy, Taha; Shapiro, Paul R.; Ocvirk, Pierre
  • Monthly Notices of the Royal Astronomical Society, Vol. 480, Issue 2
  • DOI: 10.1093/mnras/sty1945

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


The z ∼ 6 Luminosity Function Fainter than −15 mag from the Hubble Frontier Fields: The Impact of Magnification Uncertainties
journal, July 2017

  • Bouwens, R. J.; Oesch, P. A.; Illingworth, G. D.
  • The Astrophysical Journal, Vol. 843, Issue 2
  • DOI: 10.3847/1538-4357/aa70a4

HERACLES: a three-dimensional radiation hydrodynamics code
journal, January 2007


Accounting for Cosmic Variance in Studies of Gravitationally Lensed High-Redshift Galaxies in the Hubble Frontier Field Clusters
journal, November 2014

  • Robertson, Brant E.; Ellis, Richard S.; Dunlop, James S.
  • The Astrophysical Journal, Vol. 796, Issue 2
  • DOI: 10.1088/2041-8205/796/2/L27

Reionization and feedback in overdense regions at high redshift: Reionization in overdense regions
journal, January 2011


Introducing the thesan project: radiation-magnetohydrodynamic simulations of the epoch of reionization
journal, December 2021

  • Kannan, R.; Garaldi, E.; Smith, A.
  • Monthly Notices of the Royal Astronomical Society, Vol. 511, Issue 3
  • DOI: 10.1093/mnras/stab3710

Fully Coupled Simulation of Cosmic Reionization. ii. Recombinations, Clumping Factors, and the Photon Budget for Reionization
journal, June 2014

  • So, Geoffrey C.; Norman, Michael L.; Reynolds, Daniel R.
  • The Astrophysical Journal, Vol. 789, Issue 2
  • DOI: 10.1088/0004-637X/789/2/149

The short ionizing photon mean free path at z = 6 in Cosmic Dawn III, a new fully coupled radiation-hydrodynamical simulation of the Epoch of Reionization
journal, August 2022

  • Lewis, Joseph S. W.; Ocvirk, Pierre; Sorce, Jenny G.
  • Monthly Notices of the Royal Astronomical Society, Vol. 516, Issue 3
  • DOI: 10.1093/mnras/stac2383

The SPHINX Cosmological Simulations of the First Billion Years: the Impact of Binary Stars on Reionization★
journal, June 2018

  • Rosdahl, Joakim; Katz, Harley; Blaizot, Jérémy
  • Monthly Notices of the Royal Astronomical Society
  • DOI: 10.1093/mnras/sty1655

Formation of the first stars in the universe
journal, January 2012

  • Yoshida, N.; Hosokawa, T.; Omukai, K.
  • Progress of Theoretical and Experimental Physics, Vol. 2012, Issue 1
  • DOI: 10.1093/ptep/pts022

A radiative transfer scheme for cosmological reionization based on a local Eddington tensor
journal, June 2008


Cosmic Dawn (CoDa): the first radiation-hydrodynamics simulation of reionization and galaxy formation in the Local Universe
journal, August 2016

  • Ocvirk, Pierre; Gillet, Nicolas; Shapiro, Paul R.
  • Monthly Notices of the Royal Astronomical Society, Vol. 463, Issue 2
  • DOI: 10.1093/mnras/stw2036

Early galaxy formation and its large-scale effects
journal, December 2018


Cosmic Dawn II (CoDa II): a new radiation-hydrodynamics simulation of the self-consistent coupling of galaxy formation and reionization
journal, May 2020

  • Ocvirk, Pierre; Aubert, Dominique; Sorce, Jenny G.
  • Monthly Notices of the Royal Astronomical Society, Vol. 496, Issue 4
  • DOI: 10.1093/mnras/staa1266