Abstract
The statistical distribution of the radial pairwise peculiar velocity of galaxies is known to have an exponential form as implied by observations and explicitly shown in N-body simulations. Here we calculate its statistical distribution function using a Lagrangian perturbation theory assuming that the primordial density fluctuations are Gaussian distributed. We show that the exponential distribution is realized as a transient phenomenon on megaparsec scales in the standard cold-dark-matter model.
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