Merger history trees of dark matter haloes in moving barrier models

Abstract

We present an algorithm for generating merger histories of dark matter haloes. The algorithm is based on the excursion set approach with moving barriers whose shape is motivated by the ellipsoidal collapse model of halo formation. In contrast to most other merger-tree algorithms, ours takes discrete steps in mass rather than time. This allows us to quantify effects which arise from the fact that outputs from numerical simulations are usually in discrete time bins. In addition, it suggests a natural set of scaling variables for describing the abundance of halo progenitors; this scaling is not as general as that associated with a spherical collapse. We test our algorithm by comparing its predictions with measurements in numerical simulations. The progenitor mass fractions and mass functions are in good agreement, as is the predicted scaling law. We also test the formation-redshift distribution, the mass distribution at formation, and the redshift distribution of the most recent major merger; all are in reasonable agreement with N-body simulation data, over a broad range of masses and redshifts. Finally, we study the effects of sampling in discrete time snapshots. In all cases, the improvement over algorithms based on the spherical collapse assumption is significant.

arXiv commentMNRAS accepted, 15 pages, 12 figures

References in corpus (52)

• Simulating the joint evolution of quasars, galaxies and their large-scale distribution
• Large scale bias and the peak background split
• Hierarchical Galaxy Formation
• Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes
• The hierarchical formation of the brightest cluster galaxies
• Concentrations of Dark Halos from their Assembly Histories
• A Unified Model for the Evolution of Galaxies and Quasars
• Using the Evolution of Clusters to Constrain Omega
• The Assembly and Merging History of Supermassive Black Holes in Hierarchical Models of Galaxy Formation
• An excursion set model of hierarchical clustering: Ellipsoidal collapse and the moving barrier
• The subhalo populations of LCDM dark haloes
• A primer on hierarchical galaxy formation: the semi-analytical approach
• The effect of galaxy mass ratio on merger--driven starbursts
• Formation of a spiral galaxy in a major merger
• How to Plant a Merger Tree
• Excitation of Activity in Galaxies by Minor Mergers
• The Universal Mass Accretion History of CDM Haloes
• Generating Dark Matter Halo Merger Trees
• Merger Histories of Galaxy Halos and Implications for Disk Survival
• A marked correlation function analysis of halo formation times in the Millennium Simulation
• The Hierarchical Build-Up of Massive Galaxies and the Intracluster Light since z=1
• On Formation and Evolution of Disk Galaxies: Cosmological Initial Conditions and the Gravitational Collapse
• The Population of Dark Matter Subhaloes: Mass Functions and Average Mass Loss Rates
• The Merger History of Supermassive Black Holes in Galaxies
• Galaxy Merger Statistics and Inferred Bulge-to-Disk Ratios in Cosmological SPH Simulations
• Merger Rates of Dark-Matter Haloes
• The 2dF-SDSS LRG and QSO survey: evolution of the clustering of luminous red galaxies since z = 0.6
• The Dependence of the Mass Assembly History of Cold Dark Matter Halos on Environment
• Constructing Merger Trees that Mimic N-Body Simulations
• Early structure in LCDM
• Mass growth and density profiles of dark matter halos in hierarchical clustering
• Early Formation and Late Merging of the Giant Galaxies
• An improved model for the formation times of dark matter haloes
• The forest of merger history trees associated with the formation of dark matter halos
• Substructure in lensing clusters and simulations
• Self-Consistent Theory of Halo Mergers
• Nonlinear growth in modified gravity theories of dark energy
• Analytical Approach to Subhaloes Population in Dark Matter Haloes
• The growth of luminous red galaxies by merging
• How to Grow a Healthy Merger Tree
• Constraints on the merging timescale of luminous red galaxies, or, where do all the halos go?
• Formation times and masses of dark matter haloes
• Spherical collapse in modified gravity with the Birkhoff-theorem
• Compact massive objects in Virgo galaxies: the black hole population
• Satellite Luminosities in Galaxy Groups
• Formation time distribution of dark matter haloes: theories versus N-body simulations
• Luminous Red Galaxies in hierarchical cosmologies
• The Sunyaev-Zeldovich Background
• On the reliability of merger-trees and the mass growth histories of dark matter haloes
• The Most Massive Black Holes in the Universe: Effects of Mergers in Massive Galaxy Clusters
• Conditional Mass Functions and Merger Rates of Dark Matter Halos in the Ellipsoidal Collapse Model
• Effects of correlation between merging steps on the global halo formation

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• The universality of the virial halo mass function and models for non-universality of other halo definitions
• N-body Dark Matter Haloes with simple Hierarchical Histories
• Generating Merger Trees for Dark Matter Haloes: A Comparison of Methods
• The Birth and Growth of Neutralino Haloes
• Can giant radio halos probe the merging rate of galaxy clusters?
• Universal Merger Histories of Dark-Matter Haloes
• Stochastic bias in multi-dimensional excursion set approaches
• Characterising the Structure of Halo Merger Trees Using a Single Parameter: The Tree Entropy
• Stochastic Model of the Spin Distribution of Dark Matter Halos
• Semi-analytical frameworks for subhalos from the smallest to the largest scale
• Mass assembly history of dark matter halos in the light of $H_0$ tension
• Mass function and assembly of dark halos: an approach to inventory isolated overdense regions in random fields