Velocity Statistics and N-body Simulations as a Cosmological Probe

Mathematics – Logic

Scientific paper

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Scientific paper

We discuss the new galaxy-weighted small-scale velocity statistic sigma_1 of Davis, Miller, & White (1997) as a cosmological proble. This statistic is considerably more robust than the traditionally quoted pair velocity dispersion sigma_ {12}. Peculiar velocities are a tracer of the total clustered mass distribution, and are thus an important complement to cosmological constraints such as the abundance of clusters. The value of sigma_1 measured for the Las Campanas Redshift Survey (LCRS) is compared with a variety of N-body simulations carried out using a special-purpose GRAPE-3AF board. We have also used these simulations to explore the behavior of sigma_1 with redshift in different cold dark matter (CDM) cosmological models, including Einstein-de Sitter Omega_m=1 models, an open model, a cosmological constant model, the scaling field model of Ferreira & Joyce (1997), and quintessence models (Caldwell, Dave & Steinhardt 1998), which contain an unclustered component with negative pressure. Open models and w = p/rho <= -1/3 models are best able to match the observations.

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