Journal
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume 414, Issue 1, Pages 289-303Publisher
OXFORD UNIV PRESS
DOI: 10.1111/j.1365-2966.2011.18390.x
Keywords
methods: analytical; dark matter; large-scale structure of Universe
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Funding
- World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan
- kakenhi grant [22740149]
- Japan Society for the Promotion of Science (JSPS)
- Grants-in-Aid for Scientific Research [10J00181, 22740149, 18072004] Funding Source: KAKEN
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We study how primordial non-Gaussianity affects the pairwise velocity probability density function (PDF) using an analytical model and cosmological N-body simulations. We adopt the local type non-Gaussian models characterized by f(nl), and examine both the linear velocity difference PDF and the linear pairwise velocity PDF. We show explicitly how f(nl) induces correlations between originally independent velocities along the parallel and the perpendicular to the line of separation directions. We compare the model results with measurements from N-body simulations of the non-Gaussian models. Linear theory fails to predict the PDF in the f(nl) models. Therefore, we develop an analytic model based on the Zeldovich approximation to describe the evolution of the velocity PDF. Our analytical model and simulation results show remarkably good agreement in both the parallel and the perpendicular directions for the PDF profiles, as well as the change in the PDF due to primordial non-Gaussianity. The agreement is particularly good for relatively small separations (<10 h(-1) Mpc). The inclusion of the evolution of the velocity PDF is important to obtain a good description on the signature of primordial non-Gaussianity in the PDF. Our model provides the foundation to constrain f(nl) using the peculiar velocity in future surveys.
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