Extending the halo mass resolution of $N$-body simulations

Abstract

We present a scheme to extend the halo mass resolution of N-body simulations of the hierarchical clustering of dark matter. The method uses the density field of the simulation to predict the number of sub-resolution dark matter haloes expected in different regions. The technique requires as input the abundance of haloes of a given mass and their average clustering, as expressed through the linear and higher order bias factors. These quantities can be computed analytically or, more accurately, derived from a higher resolution simulation as done here. Our method can recover the abundance and clustering in real- and redshift-space of haloes with mass below $\sim 7.5\times 10^{13}{h}^{-1}{M}_{\odot }$ at $z=0$ to better than 10%. We demonstrate the technique by applying it to an ensemble of 50 low resolution, large-volume $N$-body simulations to compute the correlation function and covariance matrix of luminous red galaxies (LRGs). The limited resolution of the original simulations results in them resolving just two thirds of the LRG population. We extend the resolution of the simulations by a factor of 30 in halo mass in order to recover all LRGs. With existing simulations it is possible to generate a halo catalogue equivalent to that which would be obtained from a $N$-body simulation using more than 20 trillion particles; a direct simulation of this size is likely to remain unachievable for many years. Using our method it is now feasible to build the large numbers of high-resolution large volume mock galaxy catalogues required to compute the covariance matrices necessary to analyse upcoming galaxy surveys designed to probe dark energy.

11 pages, 7 Figures

References in corpus (22)

• A test of the nature of cosmic acceleration using galaxy redshift distortions
• A primer on hierarchical galaxy formation: the semi-analytical approach
• Efficient Simulations of Early Structure Formation and Reionization
• Generating Dark Matter Halo Merger Trees
• Mock galaxy catalogs using the quick particle mesh method
• The detectability of baryonic acoustic oscillations in future galaxy surveys
• The 2dF-SDSS LRG and QSO (2SLAQ) Luminous Red Galaxy Survey
• Modelling Baryon Acoustic Oscillations with Perturbation Theory and Stochastic Halo Biasing
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological implications of the full shape of the clustering wedges in the data release 10 and 11 galaxy samples
• `Eppur Si Muove': On The Motion of the Acoustic Peak in the Correlation Function
• The onion universe: all sky lightcone simulations in spherical shells
• Full-Sky Weak Lensing Simulation with 70 Billion Particles
• The 2dF-SDSS LRG and QSO survey: evolution of the clustering of luminous red galaxies since z = 0.6
• Calibrating the Baryon Oscillation Ruler for Matter and Halos
• Simulations of Baryon Acoustic Oscillations II: Covariance matrix of the matter power spectrum
• Modelling redshift space distortions in hierarchical cosmologies
• The assembly bias of dark matter haloes to higher orders
• Galaxy Bias and its Effects on the Baryon Acoustic Oscillations Measurements
• First Cosmological Constraints on Dark Energy from the Radial Baryon Acoustic Scale
• Luminous Red Galaxies in hierarchical cosmologies
• DEUS Full Observable ΛCDM Universe Simulation: the numerical challenge
• Noiseless Gravitational Lensing Simulations

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• Photon number conservation and the large-scale 21 cm power spectrum in semi-numerical models of reionization
• The halo light cone catalogues of \Abacus{AbacusSummit}
• The bias of dark matter tracers: assessing the accuracy of mapping techniques
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