Numerical Analyses of Weakly Nonlinear Velocity-Density Coupling

Astronomy and Astrophysics – Astrophysics

Scientific paper

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22 pages, 4 figures, to appear in ApJ (558, Sep 10)

Scientific paper

10.1086/322285

We study evolution of various statistical quantities of smoothed cosmic density and velocity fields using N-body simulations. The parameter $C\equiv /( <\delta^2>)$ characterizes nonlinear coupling of these two fields and determines behavior of bulk velocity dispersion as a function of local density contrast. It is found that this parameter depends strongly on the smoothing scale even in quasi-linear regimes where the skewness parameter $S_3$ is nearly constant and close to the predicted value by the second-order perturbation theory. We also analyze weakly nonlinear effects caused by an adaptive smoothing known as the gather approach.

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