Statistics of Dark Matter Halos from the Excursion Set Approach

Abstract

We exploit the excursion set approach in integral formulation to derive novel, accurate analytic approximations of the unconditional and conditional first crossing distributions, for random walks with uncorrelated steps and general shapes of the moving barrier; we find the corresponding approximations of the unconditional and conditional halo mass functions for Cold Dark Matter power spectra to represent very well the outcomes of state-of-the-art cosmological N-body simulations. In addition, we apply these results to derive, and confront with simulations, other quantities of interest in halo statistics, including the rates of halo formation and creation, the average halo growth history, and the halo bias. Finally, we discuss how our approach and main results change when considering random walks with correlated instead of uncorrelated steps, and Warm instead of Cold Dark Matter power spectra.

31 pages, 15 figures, 1 table. Typos-corrected. Accepted by ApJ

References in corpus (9)

• The halo mass function from the dark ages through the present day
• Generating Dark Matter Halo Merger Trees
• Natural Downsizing in Hierarchical Galaxy Formation
• Discreteness effects in simulations of Hot/Warm dark matter
• Merger Rates of Dark-Matter Haloes
• Excursion Set Theory for generic moving barriers and non-Gaussian initial conditions
• Multi-mass schemes for collisionless N-body simulations
• The Cosmological History of Accretion onto Dark Halos and Supermassive Black Holes
• Dark matter halo creation in moving barrier models

Cited by in corpus (24)

• Warm Dark Matter as a solution to the small scale crisis: new constraints from high redshift Lyman-alpha forest data
• The Coevolution of Supermassive Black Holes and Massive Galaxies at High Redshift
• Black Hole and Galaxy Coevolution from Continuity Equation and Abundance Matching
• Novel constraints on non-cold (non-thermal) Dark Matter from Lyman-$\alpha$ forest data
• A physical model for the evolving UV luminosity function of high redshift galaxies and their contribution to the cosmic reionization
• The Quest for Dusty Star-forming Galaxies at High Redshift z>4
• New Analytic Solutions for Galaxy Evolution: Gas, Stars, Metals and Dust in local Early-Type Galaxies and in their high-z Starforming Progenitors
• Warm dark matter primordial spectra and the onset of structure formation at redshift z
• Cold or Warm? Constraining Dark Matter with Primeval Galaxies and Cosmic Reionization after Planck
• The importance of stepping up in the excursion set approach
• Angular Momentum of Early and Late Type Galaxies: Nature or Nurture?
• Driving the Growth of the Earliest Supermassive Black Holes with Major Mergers of Host Galaxies
• Stellar Mass Function of Active and Quiescent Galaxies via the Continuity Equation
• New Analytic Solutions for Galaxy Evolution II: Wind Recycling, Galactic Fountains and Late-Type Galaxies
• Small scale clustering of late forming dark matter
• Setting firmer constraints on the evolution of the most massive, central galaxies from their local abundances and ages
• A Stochastic Theory of the Hierarchical Clustering I. Halo Mass Function
• Statistics of Dark Matter Halos in the Excursion Set Peak Framework
• A Stochastic Theory of the Hierarchical Clustering II. Halo progenitor mass function and large-scale bias
• Tidal shear and the consistency of microscopic Lagrangian halo approaches
• Massive Black Hole Mergers
• Born to be Starless: Revisiting the Missing Satellite Problem
• A Stochastic Theory of the Hierarchical Clustering III. The Non-universality and Non-stationarity of the Halo Mass Function
• Excursion Sets with a "Perfect" Collapse Model