Semianalytic Predictions for Statistical Properties of X-Ray Clusters of Galaxies in Cold Dark Matter Universes

Kitayama, Tetsu; Suto, Yasushi

doi:10.1086/177797

Cited by 340 publications

(428 citation statements)

References 24 publications

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“…Likewise, these comparisons must take into account many of the issues that arise in a spatially averaged context, such as the best choice of collapse density c (e.g., Kitayama & Suto 1996;Sheth, Mo, & Tormen 2001;Jenkins et al 2001), possible corrections to the overall functional form of the mass function (e.g., Jenkins et al 2001;Lee & Shandarin 1998), and the relationship between the Eulerian coordinate system which is observed and the Lagrangian coordinates that are used in the excursion-set formalism (e.g., Catelan et al 1998;Jing 1999). While the study of such issues will sharpen the link between this formalism and more directly observable quantities, our method nevertheless already provides an important first step towards a better theoretical understanding of inhomogeneous structure formation.…”

Section: Discussionmentioning

confidence: 99%

An Analytical Approach to Inhomogeneous Structure Formation

Scannapieco

Barkana

2002

ApJ

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We develop an analytical formalism that is suitable for studying inhomogeneous structure formation, by studying the joint statistics of dark matter halos forming at two points. Extending the Bond et al. derivation of the mass function of virialized halos, based on excursion sets, we derive an approximate analytical expression for the '' bivariate '' mass function of halos forming at two redshifts and separated by a fixed comoving Lagrangian distance. Our approach also leads to a self-consistent expression for the nonlinear biasing and correlation function of halos, generalizing a number of previous results including those by Kaiser and Mo & White. We compare our approximate solutions to exact numerical results within the excursion-set framework and find them to be consistent to within 2% over a wide range of parameters. Our formalism can be used to study various feedback effects during galaxy formation analytically, as well as to simply construct observable quantities dependent on the spatial distribution of objects.

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Section: Discussionmentioning

confidence: 99%

An Analytical Approach to Inhomogeneous Structure Formation

Scannapieco

Barkana

2002

ApJ

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“…This quantity, which depends weakly on Ω for the ΛCDM family of models, is well-approximated by (Kitayama & Suto 1996). The rationale for including it came from the fact that they used the virial density to find haloes, and the same model which predicts this virial density also predicts δc.…”

Section: Model For the Halo Mass Functionmentioning

confidence: 99%

The universality of the virial halo mass function and models for non-universality of other halo definitions

Despali¹,

Giocoli²,

Angulo³

et al. 2015

Mon. Not. R. Astron. Soc.

254

323

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The abundance of galaxy clusters can constrain both the geometry and growth of structure in our Universe. However, this probe could be significantly complicated by recent claims of nonuniversality -non-trivial dependences with respect to the cosmological model and redshift. In this work we analyse the dependance of the mass function on the way haloes are identified and establish if this can cause departures from universality. In order to explore this dependance, we use a set of different N-body cosmological simulations (Le SBARBINE simulations), with the latest cosmological parameters from the Planck collaboration; this first suite of simulations is followed by a lower resolution set, carried out with different cosmological parameters. We identify dark matter haloes using a Spherical Overdensity algorithm with varying overdensity thresholds (virial, 2000ρ c , 1000ρ c , 500ρ c , 200ρ c and 200ρ b ) at all redshifts. We notice that, when expressed in term of the rescaled variable ν, the mass function for virial haloes is a nearly universal as a function of redshift and cosmology, while this is clearly not the case for the other overdensities we considered. We provide fitting functions for the halo mass function parameters as a function of overdensity, that allow to predict, to within a few percent accuracy, the halo mass function for a wide range of halo definitions, redshifts and cosmological models. We then show how the departures from universality associated with other halo definitions can be derived by combining the universality of the virial definition with the expected shape of the density profile of halos.

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“…In the above equation, z is the redshift of the cluster, which for simplicity we assume is equal to the cluster formation epoch (see Kitayama & Suto 1996 for more discussion on this point). While the cluster temperature may not be isothermal, this is not important in our analysis.…”

Section: Modeling the Two-point Correlation Functions Of X-ray Clustersmentioning

confidence: 99%

“…Further details of the temperature-mass relation and its nonisothermal e †ect are discussed in , Yoshikawa, Itoh, & Suto (1998), , and Yoshikawa & Suto (1999). We compute the ratio of the * vir , mean cluster density to the mean density of the universe at that epoch, using the formulae for the spherical collapse model presented in Kitayama & Suto (1996).…”

Section: Modeling the Two-point Correlation Functions Of X-ray Clustersmentioning

confidence: 99%

Two‐Point Correlation Functions of X‐Ray–selected Clusters of Galaxies: Theoretical Predictions for Flux‐Limited Surveys

Suto

Yamamoto

Kitayama

et al. 2000

ApJ

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We have developed a model to describe two-point correlation functions of clusters of galaxies in X-ray Ñux limited surveys. Our model properly takes into account nonlinear gravitational evolution of mass Ñuctuations, redshift-space distortion due to linear peculiar velocity Ðelds and to Ðngers-of-god, cluster abundance, and bias evolution on the basis of the Press-Schechter theory, the light-cone e †ect, and the selection function due to the X-ray Ñux, temperature, and luminosity limits. Applying this model in representative cosmological models, we present quantitative predictions for X-rayÈselected samples that should be feasible from future surveys with the X-ray satellites, including Astro-E, Chandra, and XMM. The comparison of these predictions and the observed cluster clustering will generate important cosmological constraints that complement the cluster abundance and the cosmic microwave background.

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Semianalytic Predictions for Statistical Properties of X-Ray Clusters of Galaxies in Cold Dark Matter Universes

Cited by 340 publications

References 24 publications

An Analytical Approach to Inhomogeneous Structure Formation

An Analytical Approach to Inhomogeneous Structure Formation

The universality of the virial halo mass function and models for non-universality of other halo definitions

Two‐Point Correlation Functions of X‐Ray–selected Clusters of Galaxies: Theoretical Predictions for Flux‐Limited Surveys

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