Determining the Amplitude of Mass Fluctuations in the Universe

Abstract

We present a method for determining the rms mass fluctuations on 8 h^-1 Mpc scale, sigma8. The method utilizes the rate of evolution of the abundance of rich clusters of galaxies. Using the Press-Schechter approximation, we show that the cluster abundance evolution is a strong function of sigma8: d log n/dz ~ -1/sigma8^2; low sigma8 models evolve exponentially faster than high sigma8 models, for a given mass cluster. For example, the number density of Coma-like clusters decreases by a factor of ~10^3$fromz=0toz0.5forsigma8=0.5models,whilethedecreaseisonlyafactorof5forsigma81.Thestrongexponentialdependenceonsigma8arisesbecauseclustersrepresentrarerdensitypeaksinlowsigma8models.Weshowthattheevolutionrateatz<1isinsensitivetothedensityparameter$Ω$ or to the exact shape of the power spectrum. Cluster evolution therefore provides a powerful constraint on sigma8. Using available cluster data to z ~ 0.8, we find sigma8 = 0.83 +/- 0.15. This amplitude implies a bias parameter b ~ 1/sigma8 = 1.2 +/- 0.2, i.e., a nearly unbiased universe with mass approximately tracing light on large scales.

13 pages, 4 PS figures, ApJ Letters, sumbitted

References in corpus (2)

• Constraining Omega with Cluster Evolution
• Redshift Evolution of Galaxy Cluster Densities

Cited by in corpus (54)

• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• The Case for a Positive Cosmological Lambda-term
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Power Spectra for Cold Dark Matter and its Variants
• A New Method For Galaxy Cluster Detection I: The Algorithm
• Probing the dark energy: methods and strategies
• The Most Massive Distant Clusters: Determining Omega and sigma_8
• Galaxy Clusters in Hubble Volume Simulations: Cosmological Constraints from Sky Survey Populations
• Measuring Cosmological Parameters from the Evolution of Cluster X-ray Temperatures
• Galaxy clusters at 0.3 < z < 0.4 and the value of Ω_0
• Galaxy Cluster Abundance Evolution and Cosmological Parameters
• Testing the Cosmic Coincidence Problem and the Nature of Dark Energy
• Scaling Cosmology
• Evolution of the Internal Dynamics of Galaxy Clusters
• A Very Hot, High Redshift Cluster of Galaxies: More Trouble for Omega_0 = 1
• Cosmological Constraints from the Red-Sequence Cluster Survey
• Maximum-Likelihood Comparisons of Tully-Fisher and Redshift Data. II. Results from an Expanded Sample
• Correlations of Richness and Global Properties in Galaxy Clusters
• Confronting cold dark matter cosmologies with strong clustering of Lyman break galaxies at $z\sim 3$
• Cosmological implications of a Relic Neutrino Asymmetry
• Cosmological Constraints from the ROSAT Deep Cluster Survey
• Three-Dimensional Identification and Reconstruction of Galaxy Systems within Deep Redshift Surveys
• Dark Energy Constraints from Galaxy Cluster Peculiar Velocities
• A Deficit of High-Redshift, High-Luminosity X-Ray Clusters: Evidence for a High Value of Omega_m?
• Constraining Primordial Non-Gaussianity With the Abundance of High Redshift Clusters
• Constraints on a non-gaussian (${\chi }_m^2$) CDM model
• The Amplitude of Mass Fluctuations
• Omega-Matter from the Temperature-Redshift Distribution of EMSS Clusters of Galaxies
• Comparison of Analytical Mass Functions with Numerical Simulations
• Simulating the X-ray Forest
• Remarks on the Boomerang results, the baryon density and the leptonic asymmetry
• Evolution of the Cluster Mass Function: Gpc^3 Dark Matter Simulations
• Measuring the Thermal Sunyaev-Zel'dovich Effect Through the Cross Correlation of Planck and WMAP Maps with ROSAT Galaxy Cluster Catalogs
• The Galaxy Pairwise Velocity Dispersion as a Function of Local Density
• Steps toward the power spectrum of matter. II. The biasing correction with sigma_8 normalization
• The mass-concentration relationship of virialized halos and its impact on cosmological observables
• Accretion Disk Instabilities, CDM models and their role in Quasar Evolution
• Reconstruction Analysis of Galaxy Redshift Surveys: A Hybrid Reconstruction Method
• Determining the Geometry and the Cosmological Parameters of the Universe through SZE Cluster Counts
• Living with Lambda
• Cosmological Implications of the Fundamental Relations of X-ray Clusters
• Non-Nucleosynthetic Constraints on the Baryon Density and Other Cosmological Parameters
• Large primordial gravitational wave background in a class of BSI Lambda-CDM models
• Precise Clustering and Density Evolution of redMaPPer Galaxy Clusters versus MXXL Simulation
• The Large Scale Biasing and the Primordial Gravitational Potential
• Testing Cold Dark Matter Models At Moderate to High Redshift
• Steps toward the power spectrum of matter. III. The primordial spectrum
• Improvements in the M-T relation and mass function and the measured Omega_m through clusters evolution
• Evolution of the Deterministic Collapse Barrier of the Field Clusters as a Probe of Cosmology
• Measuring Omega_m using clusters evolution
• Lensing-Induced Structure of Submillimeter Sources: Implications for the Microwave Background
• Searching for a solution to the cosmological constant problem - a toy model
• Cosmological constraints from clustering properties of galaxy clusters
• Panchromatic Studies of Distant Clusters of Galaxies