Universality of dark matter haloes shape over six decades in mass: Insights from the Millennium XXL and SBARBINE simulations

Abstract

For the last 30 years many observational and theoretical evidences have shown that galaxy clusters are not spherical objects, and that their shape is much better described by a triaxial geometry. With the advent of multi-wavelength data of increasing quality, triaxial investigations of galaxy clusters is gathering a growing interest from the community, especially in the time of "precision cosmology". In this work, we aim to provide the first statistically significant predictions in the unexplored mass range above 3x10^14 Mo/h, using haloes from two redshifts (z=0 and z=1) of the Millennium XXL simulation. The size of this cosmological dark matter only simulation (4.1 Gpc) allows the formation of a statistically significant number of massive cluster scale haloes (about 500 with M>2x10^15 Mo/h and 780000 with M>10^14 Mo/h). Besides, we aim to extend this investigation to lower masses in order to look for universal predictions across nearly six orders of magnitude in mass, from 10^10 to almost 10^16 Mo/h. For this purpose we use the SBARBINE simulations, allowing to model haloes of masses starting from 10^10 Mo/h. We use an elliptical overdensity method to select haloes and compute the shapes of the unimodal ones (approximately 50%), while we discard the unrelaxed. The minor to major and intermediate to major axis ratio are found to be well described by simple functional forms. For a given mass we can fully characterize the shape of a halo and give predictions about the distribution of axis ratios for a given cosmology and redshift. Moreover, these results are in some disagreement with the findings of Jing & Suto (2002) which are widely used in the community even though they have to be extrapolated far beyond their original mass range. This "recipe" is made available to the community in this paper and in a dedicated web page.

arXiv comment13 pages, 16 figures

References in corpus (37)

• The cosmological simulation code GADGET-2
• Populating a cluster of galaxies - I. Results at z=0
• Using the Evolution of Clusters to Constrain Omega
• The Inner Structure of LambdaCDM Halos III: Universality and Asymptotic Slopes
• Resolving Cosmic Structure Formation with the Millennium-II Simulation
• Triaxial Modeling of Halo Density Profiles with High-resolution N-body Simulations
• The statistics of LCDM Halo Concentrations
• The Structure of Dark Matter Haloes in Hierarchical Clustering Models
• The Shape of Dark Matter Halos: Dependence on Mass, Redshift, Radius, and Formation
• Concentration, Spin and Shape of Dark Matter Haloes: Scatter and the Dependence on Mass and Environment
• Scaling relations for galaxy clusters in the Millennium-XXL simulation
• The spin and shape of dark matter haloes in the Millennium simulation of a LambdaCDM universe
• Internal and External Alignment of the Shapes and Angular Momenta of LCDM Halos
• Combined strong and weak lensing analysis of 28 clusters from the Sloan Giant Arcs Survey
• The Phoenix Project: the Dark Side of Rich Galaxy Clusters
• Shapes and Alignments of Galaxy Cluster Halos
• The Redshift Evolution of LCDM Halo Parameters: Concentration, Spin, and Shape
• The Population of Dark Matter Subhaloes: Mass Functions and Average Mass Loss Rates
• Direct measurement of dark matter halo ellipticity from two-dimensional lensing shear maps of 25 massive clusters
• The Shapes and Alignments of Dark Matter Halos
• Cluster Alignments and Ellipticities in LCDM Cosmology
• Properties of cluster satellites in hydrodynamical simulations
• The Three-Dimensional Shapes of Galaxy Clusters
• The Dynamical State and Mass-Concentration Relation of Galaxy Clusters
• Some like it triaxial: the universality of dark matter halo shapes and their evolution along the cosmic time
• A Detection of Dark Matter Halo Ellipticity using Galaxy Cluster Lensing in SDSS
• An improved model for the formation times of dark matter haloes
• Shapes of clusters and groups of galaxies: Comparison of model predictions with observations
• X-ray Constraints on the Intrinsic Shapes and Baryon Fractions of Five Abell Clusters
• Cluster morphologies and model-independent Y_SZ estimates from Bolocam Sunyaev-Zel'dovich images
• MOKA: a new tool for Strong Lensing Studies
• Ellipsoidal halo finders and implications for models of triaxial halo formation
• Cosmology in 2D: the concentration-mass relation for galaxy clusters
• Abundance of moderate-redshift clusters in the Cold + Hot dark matter model
• The axis ratio distribution of X-ray clusters observed by XMM-Newton
• The effects of halo alignment and shape on the clustering of galaxies
• Modelling the shapes of the largest gravitationally bound objects

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• Galaxy cluster virial quantities from extrapolating strong lensing mass profiles
• CHEX-MATE: The Impact of Triaxiality and Orientation on Planck SZ Cluster Selection and Weak Lensing Mass Measurements
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• Evolution of axis ratios from phase space dynamics of triaxial collapse
• Constraining the population of dark matter halo shapes using hierarchical inference with extragalactic stellar streams