Normalizing the Temperature Function of Clusters of Galaxies

Abstract

We re-examine the constraints which can be robustly obtained from the observed temperature function of X-ray cluster of galaxies. The cluster mass function has been thoroughly studied in simulations and analytically, but a direct simulation of the temperature function is presented here for the first time. Adaptive hydrodynamic simulations using the cosmological Moving Mesh Hydro code of Pen (1997a) are used to calibrate the temperature function for different popular cosmologies. Applying the new normalizations to the present-day cluster abundances, we find ${\sigma }_8=0.53\pm 0.05{\Omega }_0^{-0.45}$ for a hyperbolic universe, and ${\sigma }_8=0.53\pm 0.05{\Omega }_0^{-0.53}$ for a spatially flat universe with a cosmological constant. The simulations followed the gravitational shock heating of the gas and dark matter, and used a crude model for potential energy injection by supernova heating. The error bars are dominated by uncertainties in the heating/cooling models. We present fitting formulae for the mass-temperature conversions and cluster abundances based on these simulations.

20 pages incl 5 figures, final version for ApJ, corrected open universe γrelation, results unchanged

References in corpus (10)

• Measurements of the Cosmological Parameters Omega and Lambda from the First 7 Supernovae at z >= 0.35
• Power Spectra in Global Defect Theories of Cosmic Structure Formation
• Lack of Evolution in the Iron Abundance in Clusters of Galaxies and Implications for the Global Star Formation Rate at High Redshift
• Cosmology in a String-Dominated Universe
• Redshift Evolution of Galaxy Cluster Densities
• The Universal Deceleration and Angular Diameter Distances to Clusters of Galaxies
• Determining the Amplitude of Mass Fluctuations in the Universe
• A High-resolution Adaptive Moving Mesh Hydrodynamic Algorithm
• Using Cluster Abundances and Peculiar Velocities to Test the Gaussianity of the Cosmological Density Field
• Generating Cosmological Gaussian Random Fields

Cited by in corpus (79)

• In the Beginning: The First Sources of Light and the Reionization of the Universe
• The Mass Function of an X-Ray Flux-Limited Sample of Galaxy Clusters
• Cluster Abundance Constraints on Quintessence Models
• Power Spectra for Cold Dark Matter and its Variants
• The Lx-T Relation and Temperature Function for Nearby Clusters Revisited
• Constraints on Cosmological Parameters from Future Galaxy Cluster Surveys
• The structural and scaling properties of nearby galaxy clusters - II. The M-T relation
• The Most Massive Distant Clusters: Determining Omega and sigma_8
• Galaxy Clusters in Hubble Volume Simulations: Cosmological Constraints from Sky Survey Populations
• Crossing the Phantom Divide: Theoretical Implications and Observational Status
• Multiple Peaks in the Angular Power Spectrum of the Cosmic Microwave Background: Significance and Consequences for Cosmology
• The First Cosmic Structures and their Effects
• The Reionization of the Universe by the First Stars and Quasars
• The Photo-Evaporation of Dwarf Galaxies During Reionization
• Measuring Cosmological Parameters from the Evolution of Cluster X-ray Temperatures
• Baryonic Signatures in Large-Scale Structure
• CMB Observables and Their Cosmological Implications
• Tidal Shocking by Extended Mass Distributions
• Tidal Effects in Clusters of Galaxies
• Hydrodynamic Simulations of the Sunyaev-Zel'dovich effect(s)
• A New Measurement of the X-ray Temperature Function of Clusters of Galaxies
• Pre-Heated Isentropic Gas in Groups of Galaxies
• Power spectrum normalization from the local abundance of rich clusters of galaxies
• Topology and the Cosmic Microwave Background
• Cosmic Ray Protons Accelerated at Cosmological Shocks and Their Impact on Groups and Clusters of Galaxies
• On determining the cluster abundance normalization
• The Cluster Mass Function from Early SDSS Data: Cosmological Implications
• Towards Cosmological Concordance on Galactic Scales
• A Large-Scale Bulk Flow of Galaxy Clusters
• Constraining the cosmological parameters with the gas mass fraction in local and z>0.7 Galaxy Clusters
• X-ray Temperatures for the EMSS High Redshift Cluster Sample: Constraints on Cosmology and the Dark Energy Equation of State
• The Cluster Mass Function from Weak Gravitational Lensing
• Cluster abundance normalization from observed mass-temperature relation
• Populating Dark Matter Haloes with Galaxies: Comparing the 2dFGRS with Mock Galaxy Redshift Surveys
• Detection of dark matter Skewness in the VIRMOS-DESCART survey: Implications for Ω_0
• Cosmological Constraints from the ROSAT Deep Cluster Survey
• Three-Dimensional Identification and Reconstruction of Galaxy Systems within Deep Redshift Surveys
• X-Ray Absorption by the Hot Intergalactic Medium
• Heating of the IGM
• Current status of weak gravitational lensing
• Velocity Dispersions of CNOC Clusters and the Evolution of the Cluster Abundance
• The Sunyaev-Zeldovich effect in CMB-calibrated theories applied to the Cosmic Background Imager anisotropy power at l > 2000
• The Effect of Cooling on the Density Profile of Hot Gas in Clusters of Galaxies: Is Additional Physics Needed?
• Sunyaev-Zeldovich effect from hydrodynamical simulations: maps and low order statistics
• On the supernovae heating of intergalactic medium
• High-Redshift Galaxies: Their Predicted Size and Surface Brightness Distributions and Their Gravitational Lensing Probability
• The Sunyaev Zel'dovich effect: simulation and observation
• Calibration of the Mass-Temperature Relation for Clusters of Galaxies Using Weak Gravitational Lensing
• The KPNO/Deeprange Distant Cluster Survey: I. The Catalog & the Space Density of Intermediate Redshift Clusters
• Mass Function of Rich Galaxy Clusters and Its Constraint on sigma_8
• Mass-Temperature Relation of Galaxy Clusters: A Theoretical Study
• Cluster Tempreature Evolution: The Mass-Temperature Relation
• Deprojecting Sunyaev-Zeldovich statistics
• Evolution of X-Ray Clusters of Galaxies and Shock Heating of Intracluster Medium
• Evolution of the Cluster Mass Function: Gpc^3 Dark Matter Simulations
• Weak Lensing as a Calibrator of the Cluster Mass-Temperature Relation
• Probing Cosmology with the X-ray Forest
• Closing in on Omega_0: The Amplitude of Mass Fluctuations from Galaxy Clusters and the Lyman-alpha Forest
• The Gravitational-Wave contribution to the CMB anisotropies
• The intergalactic medium temperature and Compton y parameter
• Steps toward the power spectrum of matter. II. The biasing correction with sigma_8 normalization
• Constraints on Primordial Nongaussiantiy from the High-Redshift Cluster MS1054--03
• A Model of Void Formation
• Evolution of the Cluster Mass and Correlation Functions in LCDM Cosmology
• An Upper Limit on Omega_matter Using Lensed Arcs
• The Evolution of Diffuse Radio Sources in Galaxy Clusters
• Giant Arc Statistics and Cosmological Parameters
• The Gravitational Wave Emission of Double White Dwarf Coalescences
• Constraining Cosmological Models by the Cluster Mass Function
• The Axis-Ratio Distribution of Galaxy Clusters in the SDSS-C4 Catalog as a New Cosmological Probe
• Measuring Feedback Using the Intergalactic Medium State and Evolution Inferred from the Soft X-ray Background
• Small Deviations from Gaussianity and The Galaxy Cluster Abundance Evolution
• Gravitational Lensing by Galaxy Groups in the Hubble Deep Field
• Cosmological parameter determination from Planck and SDSS data in LambdaCHDM cosmologies
• Cosmology with Clusters of Galaxies
• Improvements in the M-T relation and mass function and the measured Omega_m through clusters evolution
• The Effects of Relativistic Corrections on Cosmological Parameter Estimations from SZE Cluster Surveys
• Searching for a solution to the cosmological constant problem - a toy model
• Testing Cold Dark Matter Models Using Hubble Flow Variations