Second-Order Effects of Smoothed Velocity Fields in N-Body Simulations

Astronomy and Astrophysics – Astronomy

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Cosmology: Theory, Cosmology: Large-Scale Structure Of Universe

Scientific paper

Weakly nonlinear effects of velocity fields obtained from N-body data are studied perturbatively. These numerical fields are usually smoothed in a mass-weighted manner, in contrast to analytical predictions that are based on volume-weighted smoothing. We analyze a two-step Gaussian smoothing method using the framework of second-order perturbation theory. We also derive second-order corrections caused by an adaptive filtering. With these expressions, artificial effects of filtering on the statistical analysis of smoothed velocity fields are discussed quantitatively.

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