2011
DOI: 10.1111/j.1745-3933.2011.01081.x
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The correlation structure of dark matter halo properties

Abstract: We investigate the correlation between nine different dark matter halo properties using a rank correlation analysis and a Principal Component Analysis for a sample of haloes spanning five orders of magnitude in mass. We consider mass and dimensionless measures of concentration, age, relaxedness, sphericity, triaxiality, substructure, spin, and environment, where the latter is defined in a way that makes it insensitive to mass. We find that concentration is the most fundamental property. Except for environment,… Show more

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Cited by 52 publications
(73 citation statements)
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“…Our results for the concentration parameter are in contrast with those of Jeeson-Daniel et al (2011), who found from a Principal Component Analysis (PCA) of N -body haloes that the DM concentration can be even more fundamental than the halo mass. The lack of correlation between the infall subhalo abundance and the concentration indicates that the concentration might not be as fundamental as Jeeson-Daniel et al (2011) concluded, and reflects the lack of a physical connection between the concentration and infall abundance, with the concentration becoming relevant only after infall. Yet, a correlation at infall might be detected because of some degree of correlation between pairs of host halo properties themselves, as has been observed between halo formation time and concentration and between halo formation time and halo shape 4 .…”
Section: Origin Of the Halo-to-halo Variationcontrasting
confidence: 56%
See 1 more Smart Citation
“…Our results for the concentration parameter are in contrast with those of Jeeson-Daniel et al (2011), who found from a Principal Component Analysis (PCA) of N -body haloes that the DM concentration can be even more fundamental than the halo mass. The lack of correlation between the infall subhalo abundance and the concentration indicates that the concentration might not be as fundamental as Jeeson-Daniel et al (2011) concluded, and reflects the lack of a physical connection between the concentration and infall abundance, with the concentration becoming relevant only after infall. Yet, a correlation at infall might be detected because of some degree of correlation between pairs of host halo properties themselves, as has been observed between halo formation time and concentration and between halo formation time and halo shape 4 .…”
Section: Origin Of the Halo-to-halo Variationcontrasting
confidence: 56%
“…On the other hand, at fixed host mass, Gao et al (2011) have found in MS-II that DM haloes with higher concentrations and earlier formation times contain fewer subhaloes. The mass fraction in substructure, related to the subhalo abundance, has also been found to depend on the halo shape and spin (Wang et al 2011); the impact of environment has been much more controversial, with some studies finding environmental dependence of the subhalo abundance (Fakhouri & Ma 2010;Croft et al 2012;Wang et al 2011), and with others finding no such evidence Jeeson-Daniel et al 2011).…”
Section: Physical Origin Of Baryonic Effects and Scattermentioning
confidence: 99%
“…However, five principal components are needed to explain more than 90% of the variance of the parametres, thus clusters with their environment are complicated objects whose properties cannot be explained with a small number of parametres as found also for the dark matter haloes by Jeeson-Daniel et al (2011). The locations of clusters in the PC1-PC2 plane shows that unimodal clusters in superclusters are located at upper lefthand part of the plot and have larger PC2 and smaller (larger negative) PC1 values (for example, clusters 608, 13408, 25078, and 28508).…”
Section: The Large-scale Environment Of Clustersmentioning
confidence: 99%
“…They found that halos in higher tidal field environments and in higher density environments have higher spins, with the trends stronger for higher mass halos. Skibba & Macciò (2011) and Jeeson-Daniel et al (2011) used principal component analyses to study the correlations of many halo properties including environment. Skibba & Macciò (2011) used the overdensity in spheres of 2, 4 and 8h −1 Mpc to measure the environmental density, and found that at fixed halo mass the environmental density does not significantly determine any of a halo's properties.…”
Section: Introductionmentioning
confidence: 99%