Correlation Analysis of SFI Peculiar Velocities

Abstract

We present results of a statistical analysis of the SFI catalog of peculiar velocities, a recently completed survey of spiral field galaxies with I-band Tully-Fisher distances (Haynes et al. 1999). The velocity field statistic utilized is the velocity correlation function, ${\psi }_1(r)$ (Gorski et al. 1989). The analysis is performed in redshift space, so as to circumvent potential ambiguities connected with inhomogeneous Malmquist bias corrections. The results from the SFI sample are compared with linear-theory predictions. We generate a large set of mock samples, extracted from N-body simulations, which are used to assess the reliability of our analysis and to estimate the associated uncertainties. Defining ${\eta }_8={\sigma }_8{\Omega }_0^{0.6}$, we find that the measured ${\psi }_1(r)$ implies a degenerate constraint in the ${\eta }_8-\Gamma$ plane, with ${\eta }_8=(0.3+/-0.1)(\Gamma /0.2{)}^{0.5}$, at the $2\sigma$ level, for the inverse Tully-Fisher (ITF) calibration presented in this paper. Model constraints are quite sensitive to the ITF calibration. The other ITF calibrations by Giovanelli et al. (1997) and da Costa et al. (1998) both give, for $\Gamma =0.2$, ${\eta }_8\simeq 0.6$ as the best-fitting value.

12 pages, 6 figures, LateX, uses apj.sty, AJ, in press, December 1999 issue

References in corpus (29)

• Using the Evolution of Clusters to Constrain Omega
• Reconstructing the linear power spectrum of cosmological mass fluctuations
• The density and peculiar velocity fields of nearby galaxies
• The Four-Year COBE Normalization and Large-Scale Structure
• Stochastic Nonlinear Galaxy Biasing
• Homogeneous Velocity-Distance Data for Peculiar Velocity Analysis. III. The Mark III Catalog of Galaxy Peculiar Velocities
• The IRAS 1.2 Jy Survey: Redshift Data
• The I-Band Tully-Fisher Relation for Cluster Galaxies: Data Presentation
• Dynamics of Cosmic Flows
• The I-Band Tully-Fisher Relation for Cluster Galaxies: a Template Relation, its Scatter and Bias Corrections
• A Local Hubble Bubble from SNe Ia?
• Clustering in the 1.2 Jy IRAS Galaxy Redshift Survey I: The Redshift and Real Space Correlation Functions
• A Non Parametric Model for the Cosmic Velocity Field
• The Observational Mass Function of Nearby Galaxy Clusters
• Maximum-Likelihood Comparisons of Tully-Fisher and Redshift Data. II. Results from an Expanded Sample
• IRAS versus POTENT Density Fields on Large Scales: Biasing and Omega
• Cosmological Constraints from the ROSAT Deep Cluster Survey
• Streaming velocities as a dynamical estimator of Omega
• The Mass Distribution in the Nearby Universe
• Using Cluster Abundances and Peculiar Velocities to Test the Gaussianity of the Cosmological Density Field
• Comparison of the SFI Peculiar Velocities with the IRAS 1.2 Jy Gravity Field
• Large Scale Power Spectrum from Peculiar Velocities Via Likelihood Analysis
• Adding Long-Wavelength Power to N-body Simulations
• Adding Long Wavelength Modes to an $N$-Body Simulation
• No Hubble Bubble in the Local Universe
• Pursuing Parameters for Critical Density Dark Matter Models
• Large-Scale Power Spectrum and Cosmological Parameters from SFI Peculiar Velocities
• Determination of Malmquist Bias and Selection Effects from Monte-Carlo Simulations
• Peculiar Velocities of Clusters in CDM Models

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• Local Gravity versus Local Velocity: Solutions for $\beta$ and nonlinear bias
• Redshift-Distance Survey of Early-type Galaxies. I. Sample Selection, Properties and Completeness
• Large-Scale Power Spectrum and Structures From the ENEAR galaxy Peculiar Velocity Catalog
• Redshift-distance Survey of Early-type Galaxies: The D_n-sigma Relation
• Power Spectrum of Cosmic Momentum Field Measured from the SFI Galaxy Sample
• Cosmic Momentum Field and Mass Fluctuation Power Spectrum
• Not a Copernican observer: biased peculiar velocity statistics in the local Universe
• An Unbiased Method of Modeling the Local Peculiar Velocity Field with Type Ia Supernovae
• Galaxy Peculiar Velocities From Large-Scale Supernova Surveys as a Dark Energy Probe
• ENEAR Redshift-Distance Survey: Cosmological Constraints
• Testing dark energy using pairs of galaxies in redshift space
• Improving estimates of the growth rate using galaxy-velocity correlations: a simulation study
• The Peculiar Velocity Correlation Function
• Peculiar Velocity Estimation from Kinetic SZ Effect using Deep Neural Networks
• On the statistical theory of self-gravitating collisionless dark matter flow: high order kinematic and dynamic relations
• Improved Methods for Estimating Peculiar Velocity Correlation Functions Using Volume Weighting