Universal Fitting Formulae for the Peak Concentration of Dark Matter Halos

Abstract

The prediction of the structural properties of dark matter halos is crucial for studies in modern cosmology and galaxy formation. Utilizing a comprehensive suite of N-body simulations spanning diverse cosmologies and box sizes, we derive a universal halo concentration prescription aligned with the excursion set theory framework. The halo peak-height parameter is revised to incorporate the linear growth factor at the halo formation epoch, enhancing its physical relevance to assembly history tracking. For fixed halo mass, we fit the distributions of the halo concentration and revised peak height to lognormal functions to extract their peak values. We find that these peaks follow a universal, tight relation invariant to redshift, box size, initial power spectrum, and cosmology, exhibiting remarkably small scatter. In particular, the relation flattens systematically with increasing revised peak height, approaching an asymptotic value of ~2.54, consistent with previous reports of a concentration floor. The fitting formula consistently describes both the mass-concentration and peak height-concentration relations, easily quantifying how these relations depend on redshift and cosmological parameters. This universal framework enables robust prediction of the most probable (peak) halo concentration using our fitting formula or theoretical/semianalytical mass assembly histories. A software package for calculating peak concentrations is publicly available online.

arXiv comment14 pages, 5 figures, 2 tables, updated to match the published version

References in corpus (53)

• A Universal Density Profile from Hierarchical Clustering
• The Structure of Cold Dark Matter Halos
• Efficient Computation of CMB anisotropies in closed FRW models
• Profiles of dark haloes: evolution, scatter, and environment
• Statistical Properties of X-ray Clusters: Analytic and Numerical Comparisons
• Hierarchical Galaxy Formation
• First results from the IllustrisTNG simulations: matter and galaxy clustering
• First results from the IllustrisTNG simulations: the stellar mass content of groups and clusters of galaxies
• First results from the IllustrisTNG simulations: the galaxy color bimodality
• The Rockstar Phase-Space Temporal Halo Finder and the Velocity Offsets of Cluster Cores
• First results from the IllustrisTNG simulations: A tale of two elements -- chemical evolution of magnesium and europium
• Concentrations of Dark Halos from their Assembly Histories
• First results from the IllustrisTNG simulations: radio haloes and magnetic fields
• The Inner Structure of LambdaCDM Halos I: A Numerical Convergence Study
• MultiDark simulations: the story of dark matter halo concentrations and density profiles
• Cold dark matter haloes in the Planck era: evolution of structural parameters for Einasto and NFW profiles
• Halos and galaxies in the standard cosmological model: results from the Bolshoi simulation
• Dark matter halo concentrations in the Wilkinson Microwave Anisotropy Probe year 5 cosmology
• The Diversity and Similarity of Simulated Cold Dark Matter Halos
• Triaxial Modeling of Halo Density Profiles with High-resolution N-body Simulations
• The statistics of LCDM Halo Concentrations
• Concentration, Spin and Shape of Dark Matter Haloes as a Function of the Cosmological Model: WMAP1, WMAP3 and WMAP5 results
• Halo concentrations in the standard LCDM cosmology
• Gravitationally Consistent Halo Catalogs and Merger Trees for Precision Cosmology
• Concentration, Spin and Shape of Dark Matter Haloes: Scatter and the Dependence on Mass and Environment
• The redshift dependence of the structure of massive LCDM halos
• Accurate universal models for the mass accretion histories and concentrations of dark matter halos
• The Power Spectrum Dependence of Dark Matter Halo Concentrations
• Simulating cosmic structure formation with the GADGET-4 code
• The Growth and Structure of Dark Matter Haloes
• A universal model for halo concentrations
• The Mass-Concentration-Redshift Relation of Cold and Warm Dark Matter Halos
• The Coyote Universe I: Precision Determination of the Nonlinear Matter Power Spectrum
• The density profile of equilibrium and non-equilibrium dark matter halos
• The Mass-Concentration-Redshift Relation of Cold Dark Matter Halos
• The Uchuu Simulations: Data Release 1 and Dark Matter Halo Concentrations
• An accurate physical model for halo concentrations
• Formation and structure of halos in a warm dark matter cosmology
• Mass and Redshift Dependence of Dark Halo Structure
• The Coyote Universe II: Cosmological Models and Precision Emulation of the Nonlinear Matter Power Spectrum
• Dark Matter Halo Profiles of Massive Clusters: Theory vs. Observations
• The Halo Mass Function: High-Redshift Evolution and Universality
• Halo Mass Function and the Free Streaming Scale
• Halo Profiles and the Concentration-Mass Relation for a ΛCDM Universe
• SWIFT: A modern highly-parallel gravity and smoothed particle hydrodynamics solver for astrophysical and cosmological applications
• The Dynamical State and Mass-Concentration Relation of Galaxy Clusters
• The inner structure of haloes in Cold+Warm dark matter models
• Confronting cold dark matter cosmologies with strong clustering of Lyman break galaxies at $z\sim 3$
• Numerical convergence of simulations of galaxy formation: the abundance and internal structure of cold dark matter haloes
• The statistical properties of LCDM halo formation
• Baryonic Imprints on DM Halos: Population Statistics from Dwarf Galaxies to Galaxy Clusters
• Formation time distribution of dark matter haloes: theories versus N-body simulations
• An efficient and robust method to estimate halo concentration