Halo mass function in scale invariant models

Abstract

Sheth-Tormen mass function has been widely used to quantify the abundance of dark matter halos. It is a significant improvement over the Press-Schechter mass function as it uses ellipsoidal collapse in place of spherical collapse. Both of these mass functions can be written in a form that is universal, i.e., independent of cosmology and power spectrum when scaled in suitable variables. However, cosmological simulations have shown that this universality is approximate. In this paper, we investigate the power spectrum dependence of halo mass function through a suite of dark-matter-only N-body simulations of seven power-law models in an Einstein-de Sitter cosmology. This choice of cosmology and a power-law power spectrum ensures the self-similar evolution of dark matter distribution, allowing us to isolate the power spectrum dependence of mass function. We find that the mass function shows a clear non-universality. We present fits for the parameters of the Sheth-Tormen mass function for a range of power-law power-spectrum indices. We find a mild evolution in the overall shape of the mass function with the epoch. Finally, we extend our result to LCDM cosmology. We show that the Sheth-Tormen mass function with parameter values derived from a matched power-law EdS cosmology provides a better fit to the LCDM mass function than the standard Sheth-Tormen mass function. Our results indicate that an improved analytical theory is required to provide better fits to the mass function.

arXiv comment12 pages, 10 figures. This is a much expanded and upgraded version of 0908.2702. Accepted for Publication in the MNRAS

References in corpus (56)

• Large scale bias and the peak background split
• Populating a cluster of galaxies - I. Results at z=0
• Halo Models of Large Scale Structure
• Toward a halo mass function for precision cosmology: the limits of universality
• Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes
• Mass function of dark matter halos
• An analytic model for the spatial clustering of dark matter haloes
• Physical Models of Galaxy Formation in a Cosmological Framework
• Cosmological Parameters from Observations of Galaxy Clusters
• Analytic model for galaxy and dark matter clustering
• Halo occupation numbers and galaxy bias
• Merger rates in hierarchical models of galaxy formation. II: Comparison with N-body simulations
• Planck 2013 results. XX. Cosmology from Sunyaev-Zeldovich cluster counts
• Precision Determination of the Mass Function of Dark Matter Halos
• Scaling relations for galaxy clusters in the Millennium-XXL simulation
• The merger rate of primordial-black-hole binaries
• Gravitational Lensing
• Simulating cosmic structure formation with the GADGET-4 code
• An accurate halo model for fitting non-linear cosmological power spectra and baryonic feedback models
• The halo mass function from the dark ages through the present day
• The MassiveBlack-II Simulation: The Evolution of Halos and Galaxies to z~0
• The dark matter of gravitational lensing
• The halo mass function through the cosmic ages
• The universality of the virial halo mass function and models for non-universality of other halo definitions
• Halo mass function: Baryon impact, fitting formulae and implications for cluster cosmology
• Evolution of the Mass Function of Dark Matter Haloes
• Dark Quest. I. Fast and Accurate Emulation of Halo Clustering Statistics and Its Application to Galaxy Clustering
• Corrfunc --- A Suite of Blazing Fast Correlation Functions on the CPU
• Simulating the Universe with MICE: The abundance of massive clusters
• Mass Function Predictions Beyond LCDM
• A Halo Model of Galaxy Colors and Clustering in the SDSS
• Importance of Cluster Structural Evolution in Using X-ray and SZE Galaxy Cluster Surveys to Study Dark Energy
• Galaxy-galaxy Lensing: Dissipationless Simulations Versus the Halo Model
• Constraining Primordial non-Gaussianity with Bispectrum and Power Spectum from Upcoming Optical and Radio Surveys
• Imprints of dark energy on cosmic structure formation: II) Non-Universality of the halo mass function
• The Cosmological Mass Distribution Function in the Zel'dovich Approximation
• The Aemulus Project II: Emulating the Halo Mass Function
• Dark Energy Survey Year 1 Results: Cosmological Constraints from Cluster Abundances, Weak Lensing, and Galaxy Correlations
• Accurate initial conditions for cosmological N-body simulations: Minimizing truncation and discreteness errors
• Peaks theory and the excursion set approach
• Multi-tracer extension of the halo model: probing quenching and conformity in eBOSS
• Analytical Approach to Subhaloes Population in Dark Matter Haloes
• Comparison of Analytical Mass Functions with Numerical Simulations
• A Lagrangian Dynamical Theory for the Mass Function of Cosmic Structures: I Dynamics
• Universal at last? The splashback mass function of dark matter halos
• Accurate mass and velocity functions of dark matter halos
• Critical Index and Fixed Point in the Transfer of Power in Nonlinear Gravitational Clustering
• Effects of the size of cosmological N-Body simulations on physical quantities -- I: Mass Function
• Non-universality of the mass function: dependence on the growth rate and power spectrum shape
• The mass function dependence on the dynamical state of dark matter haloes
• Constraining Primordial Non-Gaussianity with Post-reconstructed Galaxy Bispectrum in Redshift Space
• Primordial Black Hole Merger Rate in Ellipsoidal-Collapse Dark Matter Halo Models
• A Comparison of Simulated and Analytic Major Merger Counts
• Effects of long-wavelength fluctuations in large galaxy surveys
• Mass function of haloes: scale invariant models
• Non-linear dynamics and mass function of cosmic structures. II Numerical results

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