An excursion set model for the distribution of dark matter and dark matter haloes

Abstract

A model of the gravitationally evolved dark matter distribution, in the Eulerian space, is developed. It is a simple extension of the excursion set model that is commonly used to estimate the mass function of collapsed dark matter haloes. In addition to describing the evolution of the dark matter itself, the model allows one to describe the evolution of the Eulerian space distribution of the haloes. It can also be used to describe density profiles, on scales larger than the virial radius, of these haloes, and to quantify the way in which matter flows in and out of Eulerian cells. When the initial Lagrangian space distribution is white noise Gaussian, the model suggests that the Inverse Gaussian distribution should provide a reasonably good approximation to the evolved Eulerian density field, in agreement with numerical simulations. Application of this model to clustering from more general Gaussian initial conditions is discussed at the end.

15 pages, 5 figures, submitted to MNRAS Sept. 1997

Cited by in corpus (112)

• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Ellipsoidal collapse and an improved model for the number and spatial distribution of dark matter haloes
• Cosmology at Low Frequencies: The 21 cm Transition and the High-Redshift Universe
• An excursion set model of hierarchical clustering: Ellipsoidal collapse and the moving barrier
• The Growth of HII Regions During Reionization
• A hierarchy of voids: Much ado about nothing
• Cosmological Parameter Estimation Using 21 cm Radiation from the Epoch of Reionization
• Gravity and Large-Scale Non-local Bias
• A Cosmic Watershed: the WVF Void Detection Technique
• The Excursion Set Theory of Halo Mass Functions, Halo Clustering, and Halo Growth
• Taxing the Rich: Recombinations and Bubble Growth During Reionization
• Statistical Probes of Reionization With 21 cm Tomography
• Dark Matter Halo Merger Histories Beyond Cold Dark Matter: I - Methods and Application to Warm Dark Matter
• Constraints on Warm Dark Matter from Cosmological Reionization
• Voids in Modified Gravity: Excursion Set Predictions
• Large-scale non-Gaussian mass function and halo bias: tests on N-body simulations
• The Kinetic Sunyaev-Zel'dovich Effect from Reionization
• Biasing and the distribution of dark matter haloes
• Characteristic Scales During Reionization
• The Effects of Reionization on Lyman-alpha Galaxy Surveys
• Cosmic Voids: structure, dynamics and galaxies
• On The Assembly History of Dark Matter Haloes
• One step beyond: The excursion set approach with correlated steps
• Modeling halo mass functions in chameleon f(R) gravity
• Is Double Reionization Physically Plausible?
• Hyperextended Cosmological Perturbation Theory: Predicting Non-linear Clustering Amplitudes
• Curvature in the color-magnitude relation but not in color-sigma: Major dry mergers at M* > 2 x 10^11 Msun?
• On the Distribution of Haloes, Galaxies and Mass
• Constraining the Topology of Reionization Through Lyman-alpha Absorption
• Environmental dependence in the ellipsoidal collapse model
• An Extended Excursion Set Approach to Structure Formation in Chameleon Models
• A halo bias function measured deeply into voids without stochasticity
• Effective Screening due to Minihalos During the Epoch of Reionization
• The fully connected N-dimensional skeleton: probing the evolution of the cosmic web
• On Random Walks with a General Moving Barrier
• How unusual are the Shapley Supercluster and the Sloan Great Wall?
• The nature of voids: I. Watershed void finders and their connection with theoretical models
• Properties of Dark Matter Halos as a Function of Local Environment Density
• Toward a Universal Formulation of the Halo Mass Function
• Future Evolution of Bound Superclusters in an Accelerating Universe
• Nonlinear density evolution from an improved spherical collapse model
• Strong clustering of underdense regions and the environmental dependence of clustering from Gaussian initial conditions
• A hierarchy of voids: More ado about nothing
• The DEEP2 Galaxy Redshift Survey: The Evolution of Void Statistics from z~1 to z~0
• Cosmic web dependence of galaxy clustering and quenching in SDSS
• Voids in Modified Gravity Reloaded: Eulerian Void Assignment
• Scale-dependent halo bias from scale-dependent growth
• The Hunt for Primordial Interactions in the Large Scale Structures of the Universe
• Halo abundances and counts-in-cells: The excursion set approach with correlated steps
• The Persistent Percolation of Single-Stream Voids
• Cosmological Information in the Marked Power Spectrum of the Galaxy Field
• Quasar H II Regions During Cosmic Reionization
• Excursion Set Halo Mass Function and Bias in a Stochastic Barrier Model of Ellipsoidal Collapse
• Perturbation theory and excursion set estimates of the probability distribution function of dark matter, and a method for reconstructing the initial distribution function
• A high precision semi-analytic mass function
• Spherical Collapse and Cluster Counts in Modified Gravity Models
• Excursion Set Theory for generic moving barriers and non-Gaussian initial conditions
• Halo abundances in the f_{nl} model
• Density distribution of the cosmological matter field
• Hunting high and low: Disentangling primordial and late-time non-Gaussianity with cosmic densities in spheres
• The amplitude of mass density fluctuations at $z\approx 3.25$ from the Ly-alpha forest of Q1422+231
• The environmental dependence of clustering in hierarchical models
• Testing the imprint of non-standard cosmologies on void profiles using Monte Carlo random walks
• Voids and the Cosmic Web: cosmic depressions & spatial complexity
• Non-perturbative probability distribution function for cosmological counts in cells
• Dependence of halo bias on mass and environment
• Excursion set theory for modified gravity: correlated steps, mass functions and halo bias
• What determines large scale galaxy clustering: halo mass or local density?
• A Flexible Analytic Model of Cosmic Variance in the First Billion Years
• The importance of stepping up in the excursion set approach
• Excursion set theory for modified gravity: Eulerian versus Lagrangian environments
• Modeling the Phase-Space Distribution around Massive Halos
• An improved model of HII bubbles during the epoch of reionization
• Self-consistency of the Excursion Set Approach
• A Comparison of Simulated and Analytic Major Merger Counts
• Conditional Probabilities in the Excursion Set Theory. Generic Barriers and non-Gaussian Initial Conditions
• The locations of halo formation and the peaks formalism
• Photon Number Conserving Models of H II Bubbles during Reionization
• On Correlated Random Walks and 21-cm Fluctuations During Cosmic Reionization
• The universal multiplicity function: counting halos and voids
• The excursion set approach in non-Gaussian random fields
• Stochastic bias in multi-dimensional excursion set approaches
• The importance of stochasticity in determining galaxy emissivities and UV LFs during cosmic dawn and reionization
• Halo bias in the excursion set approach with correlated steps
• Double Distribution of Dark Matter Halos with respect to Mass and Local Overdensity
• Evolution of the Cosmological Density Distribution Function: A New Analytical Model
• The halo mass function conditioned on density from the Millennium Simulation: insights into missing baryons and galaxy mass functions
• On the Markovian assumption in the excursion set approach: the approximation of Markov Velocities
• The nonlinear probability distribution function in models with local primordial non-Gaussianity
• A Merger Tree with Microsolar Mass Resolution: Application to $\gamma$-ray Emission from Subhalo Population
• Influence of ~7 keV sterile neutrino dark matter on the process of reionization
• Dark matter halo creation in moving barrier models
• Growth of non-linear structures and spherical collapse in the Galileon Ghost Condensate model
• High-redshift voids in the excursion set formalism
• Source Mergers and Bubble Growth During Reionization
• An Analytic Formulation of 21-cm Signal from Early Phase of Epoch of Reionization
• Ellipsoidal collapse and the redshift space probability distribution function of dark matter
• Excursion Set Theory for Correlated Random Walks
• Void Probability Function of Simulated Surveys of high-redshift Lyman-Alpha Emitters
• Non-linear power spectra of dark and luminous matter in halo model of structure formation
• The effects of anti-correlation on gravitational clustering
• Renormalization group and UV completion of cosmological perturbations: Gravitational collapse as a critical phenomenon
• Effects of correlation between merging steps on the global halo formation
• Toward More Realistic Mass Functions For Ultradense Dark Matter Halos
• Fast and accurate collapse-time predictions for collisionless matter
• Ultraviolet background fluctuations with clustered sources
• The abundance of lensing protoclusters
• Ultradense Dark Matter Halos with Poisson Noise from Stellar-Mass Primordial Black Holes
• Approximating Density Probability Distribution Functions Across Cosmologies
• Statistical Decoupling of Lagrangian Fluid Parcel in Newtonian Cosmology
• On the first crossing distributions in fractional Brownian motion and the mass function of dark matter haloes
• Indicator Functions: Distilling the Information from Gaussian Random Fields