Analysis of Cosmological Generalized Reduced Void Probability Functions Constrained by Observations and Numerical Simulations
arXiv:1312.6648
Abstract
Using survey data and numerical LCDM modeling we establish an optimized fit to the generalized Reduced Void Probability Function, RVPF, of Mikjian used to establish a statistical foundation to any physical process associated with hierarchical clustering. We use a numerical N-body cosmological simulation code, GADGET-2, to investigate the sensitivity of the distribution of voids characterized by the RVPF to a general hierarchical reduced void parameter, a. The void parameter is related to the Levy stability index of the distribution and Fischer critical exponent used in clustering models. We numerically simulate the evolution of the universe from a redshift of z=50 to the current epoch at z=0 in order to generate RVPFs. GADGET-2 is an N-body/smoothed particle hydrodynamics, SPH, code that we ran in MPI parallelizable mode on an HPC Beowulf cluster. The numerical data sets are compared to observational data from the Sloan digital sky Survey, SDSS, CfA, the Deep2 Galaxy Redshift Survey, and the 2dF Survey. We find the best value of the parameter a occurs near the Negative Binomial reduced void probability function but exhibits a departure from perfect scaling over the z values studied.
12 pages, 4 figures
References in corpus (19)
- The Aspen--Amsterdam Void Finder Comparison Project
- The Cosmic Code Comparison Project
- Cosmology with Void-Galaxy Correlations
- Clues on void evolution II: Measuring density and velocity profiles on SDSS galaxy redshift space distortions
- Sparse sampling, galaxy bias, and voids
- The CMB cold spot: texture, cluster or void?
- Clues on void evolution I: Large scale galaxy distributions around voids
- A robust public catalogue of voids and superclusters in the SDSS Data Release 7 galaxy surveys
- Voids in the SDSS DR9: observations, simulations, and the impact of the survey mask
- Real-space density profile reconstruction of stacked voids
- The structure of cosmic voids in a LCDM Universe
- Void Statistics and Hierarchical Scaling in the Halo Model
- On de-Sitter Geometry in Cosmic Void Statistics
- Generalized statistical models of voids and hierarchical structure in cosmology
- Two-point correlation function of density perturbations in a large void universe
- Flaglets for studying the large-scale structure of the Universe
- Snowmass Computing Frontier: Computing for the Cosmic Frontier, Astrophysics, and Cosmology
- Void Statistics and Void Galaxies in the 2dFGRS
- Issues in Gravitational Clustering and Cosmology