Modelling the stochasticity of high-redshift halo bias

Abstract

A very large dynamic range with simultaneous capture of both large- and small-scales in the simulations of cosmic structures is required for correct modelling of many cosmological phenomena, particularly at high redshift. This is not always available, or when it is, it makes such simulations very expensive. We present a novel sub-grid method for modelling low-mass ($10^5{M}_{\odot }\le M_{\mathrm{halo}}\le 10^9{M}_{\odot }$) haloes, which are otherwise unresolved in large-volume cosmological simulations limited in numerical resolution. In addition to the deterministic halo bias that captures the average property, we model its stochasticity that is correlated in time. We find that the instantaneous binned distribution of the number of haloes is well approximated by a log-normal distribution, with overall amplitude modulated by this "temporal correlation bias". The robustness of our new scheme is tested against various statistical measures, and we find that temporally correlated stochasticity generates mock halo data that is significantly more reliable than that from temporally uncorrelated stochasticity. Our method can be applied for simulating processes that depend on both the small- and large-scale structures, especially for those that are sensitive to the evolution history of structure formation such as the process of cosmic reionization. As a sample application, we generate a mock distribution of medium-mass ($10^8\le M/M_{\odot }\le 10^9$) haloes inside a 500 Mpc$h^{-1}$, $300^3$ grid simulation box. This mock halo catalogue bears a reasonable statistical agreement with a halo catalogue from numerically-resolved haloes in a smaller box, and therefore will allow a very self-consistent sets of cosmic reionization simulations in a box large enough to generate statistically reliable data.

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Cited by in corpus (9)

• The importance of galaxy formation histories in models of reionization
• Cosmic Reionization May Still Have Started Early and Ended Late: Confronting Early Onset with CMB Anisotropy and 21 cm Global Signals
• One simulation to have them all: performance of the Bias Assignment Method against N-body simulations
• Redshifted 21-cm bispectrum: Impact of the source models on the signal and the IGM physics from the Cosmic Dawn
• Mapping discrete galaxies at cosmic dawn with 21-centimeter observations
• Efficient simulation of discrete galaxy populations and associated radiation fields during the first billion years
• An efficient hybrid method to produce high resolution large volume dark matter simulations for semi-analytic models of reionisation
• ScamPy -- A sub-halo clustering & abundance matching based Python interface for painting galaxies on the dark matter halo/sub-halo hierarchy
• Reionization in HESTIA: Studying reionization in the LG through zoom simulations