Linear and nonlinear contributions to pairwise peculiar velocities

Abstract

We write the correlation function of dark matter particles, xi(r), as the sum of two terms - one which accounts for nonlinear evolution, and dominates on small scales, and another which is essentially the term from linear theory, and dominates on large scales. We use models of the number and spatial distribution of haloes and halo density profiles to describe the nonlinear term and its evolution. The result provides a good description of the evolution of xi(r) in simulations. We then use this decomposition to provide simple and accurate models of how the single particle velocity dispersion evolves with time, and how the first and second moments of the pairwise velocity distribution depend on scale. The key idea is to use the simple physics of linear theory on large scales, the simple physics of the virial theorem on small scales, and our model for the correlation function to tell us how to weight the two types of contributions (linear and nonlinear) to the pairwise velocity statistics. When incorporated into the streaming model, our results will allow a simple accurate description of redshift-space distortions over the entire range of linear to highly nonlinear regimes.

16 pages, 8 figures, submitted to MNRAS 2000 August 15

References in corpus (26)

• A Universal Density Profile from Hierarchical Clustering
• Large scale bias and the peak background split
• An analytic model for the spatial clustering of dark matter haloes
• Analytic model for galaxy and dark matter clustering
• Halo occupation numbers and galaxy bias
• Clustering of Galaxies in a Hierarchical Universe: I. Methods and Results at z=0
• Nonlinear evolution of cosmological power spectra
• How Many Galaxies Fit in a Halo? Constraints on Galaxy Formation Efficiency from Spatial Clustering
• The Structure of Dark Matter Haloes in Hierarchical Clustering Models
• Evolution of structure in cold dark matter universes
• The Nature of Galaxy Bias and Clustering
• Spatial correlation function and pairwise velocity dispersion of galaxies: CDM models versus the Las Campanas Survey
• Peculiar velocities of galaxies and clusters
• On The Validity of the Streaming Model for the Redshift-Space Correlation Function in the Linear Regime
• Biasing and the distribution of dark matter haloes
• The redshift space power spectrum in the halo model
• Hyperextended Cosmological Perturbation Theory: Predicting Non-linear Clustering Amplitudes
• Can Baryonic Features Produce the Observed 100 Mpc Clustering?
• The distribution of pairwise peculiar velocities in the nonlinear regime
• Dynamics of pairwise motions
• Analytical Approximations to the Low-Order Statistics of Dark Matter Distribution
• Modelling the Nonlinear Gravitational Clustering in the Expanding Universe
• The non-linear correlation function and the shapes of virialized halos
• A Galaxy-Weighted Measure of the Relative Peculiar Velocity Dispersion
• Galaxy Pairwise Velocity Distributions on Non-Linear Scales
• What Does It Take to Stabilize Gravitational Clustering?

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