Evolution of the mass function of dark matter haloes

By Darren S. Reed, J. Gardner, Thomas R. Quinn, Joachim Stadel, Mark A. Fardal, George Lake, Fabio Governato. 2003

197 citations recorded by the source corpus.

We use a high resolutionCDM numerical simulation to calculate the mass function of dark matter haloes down to the scale of dwarf galaxies, back to a redshift of fifteen, in a 50 h −1 Mpc volume containing 80 million particles. Our low redshift results allow us to probe low σ density fluctuations significantly beyond the range of previous cosmological simulations. The Sheth and Tormen mass function provides an excellent match to all of our data except for redshifts of ten and higher, where it overpredicts halo numbers increasingly with redshift, reaching roughly 50 percent for the 10 10 − 10 11 M⊙ haloes sampled at redshift 15. Our results confirm previous findings that the simulated halo mass function can be described solely by the variance of the mass distribution, and thus has no explicit redshift dependence. We provide an empirical fit to our data that corrects for the overprediction of extremely rare objects by the Sheth and Tormen mass function. This overprediction has implications for studies that use the number densities of similarly rare objects as cosmological probes. For example, the number density of high redshift (z ≃ 6) QSOs, which are thought to be hosted by haloes at 5σ peaks in the fluctuation field, are likely to be overpredicted by at least a factor of 50%. We test the sensitivity of our results to force accuracy, starting redshift, and halo finding algorithm.

Subfields: Astronomy and Astrophysics, Instrumentation, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/05a3d6f643c40bdb5250f8846d01c2754b16d3d2

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Citations in the corpus

REPRODUCING THE STELLAR MASS/HALO MASS RELATION IN SIMULATED ΛCDM GALAXIES: THEORY VERSUS OBSERVATIONAL ESTIMATES (2012, background): “While the halo mass function obtained in DM-only simulations is robustly constrained (Reed et al. 2003; Springel et al. 2005), it has recently (Sawala et al. 2012) been shown that halo masses in DM-only simulations exceed those obtained in simulations including baryon physics by up to 30%,…”
Toward a Halo Mass Function for Precision Cosmology: The Limits of Universality (2008, background): “Several other studies have tested the universality of the mass function at high redshifts (Reed et al. 2003, 2007; Lukic et al. 2007; Cohn & White 2007).”
Transients from initial conditions in cosmological simulations (2006, methodology): “Reed et al. (2003) studied the effects of the starting redshift zi on the mass function measured at high redshifts z ≃ 7 − 15 from numerical simulations initialized with the ZA.”
Galaxy-induced transformation of dark matter haloes (2009, methodology): “Each simulation follows the evolution of a relatively small region of the Universe, excised from a 4323-particle simulation of a large 50 h−1 Mpc periodic box (Reed et al., 2003), and resimulated at much higher mass and spatial resolution.”
Velocity and spatial biases in cold dark matter subhalo distributions (2004, background): “The mass function of isolated field haloes is also close to a power law of slope m−1 (e.g. Jenkins et al. 2001; Reed et al. 2003).”
The X-Ray Luminosity-Mass Relation for Local Clusters of Galaxies (2006, methodology): “The method relies on numerical simulations for calibration of the space density of massive halos (Sheth & Tormen 1999; Reed et al. 2003; Jenkins et al. 2001; Warren et al. 2005) and for an estimate of the covariance of X-ray temperature and luminosity at fixed mass.”
MASS FUNCTION PREDICTIONS BEYOND ΛCDM (2010, background): “…to calibrate the halo mass function over an increasingly wider range of masses and redshifts (Jenkins et al. 2001; Evrard et al. 2002; White 2002; Reed et al. 2003; Warren et al. 2006; Heitmann et al. 2006; Reed et al. 2007; Lukić et al. 2007; Tinker et al. 2008; Boylan-Kolchin et al. 2009;…”
Efficient Simulations of Early Structure Formation and Reionization (2007, result): “We note, however, that the situation at high redshifts is less clear: studies disagree on the relative accuracy of the Press & Schechter (1974) and Jenkins et al. (2001) forms (Reed et al. 2003; Iliev et al. 2006b; Zahn et al. 2007).”
Mg II Absorption Systems in Sloan Digital Sky Survey QSO Spectra (2005, background): “…this scenario seems less likely than early formation epochs and long lifetimes through regulation, it is of note that although individual low-mass halos in CDM simulations do themselves evolve, the low-mass end of the total halo mass function shows little evolution in redshift (Reed et al. 2003).”
Halo mass function and scale-dependent bias from N-body simulations with non-Gaussian initial conditions (2008, background): “On the other hand, the fit by Reed et al. (2003) tends to underestimate the high-mass tail of the mass function.”
The Halo Mass Function: High-Redshift Evolution and Universality (2007, methodology): “Agreement with the Reed et al. (2003, 2007) fits is also good, within the 10% level.”
Ahf: AMIGA'S HALO FINDER (2009, methodology): “…we are utilizing our best resolved simulation (i.e. B963hi of Set 2, cf. Table 1) and present in figure 12 a comparison against the mass functions proposed by Press & Schechter (1974); Sheth & Tormen (1999); Jenkins et al. (2001); Reed et al. (2003); Warren et al. (2006) and Tinker et al. (2008).”
COLOSSUS: A Python Toolkit for Cosmology, Large-scale Structure, and Dark Matter Halos (2017, methodology): “…(FOF, uses δc(z)); see also Sheth et al. 2001 jenkins01 Jenkins et al. 2001 A calibration based on numerical results (FOF, no z-dependence) reed03 Reed et al. 2003 High-mass correction to Sheth & Tormen 1999 model (FOF, uses δc(z)) warren06 Warren et al. 2006 A calibration based on numerical…”
Simulating the Universe with MICE: The abundance of massive clusters (2009, background): “…abundance of FoF haloes has been found universal at <10 per cent level by different studies including ourselves in Section 8 (Jenkins et al. 2001; Reed et al. 2003, 2007; Heitmann et al. 2006; Lukic et al. 2007; Tinker et al. 2008), with some dependence on the linking length (Jenkins et al.…”
The halo mass function through the cosmic ages (2012, methodology): “2002) and Jenkins et al. (Jenkins et al. 2001) fits, as well as a number of more recent fits (Reed et al. 2003, 2007; Warren et al. 2006; Crocce et al. 2010; Bhattacharya et al. 2011; Courtin et al. 2011; Angulo et al. 2012).”
Simulating Cosmic Reionization at Large Scales I: the Geometry of Reionization (2005, background): “Previously, Reed et al. (2003) found a similar trend of ST overestimating the mass function atz > 10, but being fairly accurate at later times.”