Astronomy and Astrophysics – Astrophysics
Scientific paper
1998-02-04
MNRAS 300 (1998) 1027
Astronomy and Astrophysics
Astrophysics
8 pages, 1 figure, uses mn.sty and epsf.tex, slightly amended abstract and summary, accepted for publication in MNRAS
Scientific paper
Using third-order perturbation theory, we derive a relation between the mean divergence of the peculiar velocity given density and the density itself. Our calculations assume Gaussian initial conditions and are valid for Gaussian filtering of the evolved density and velocity fields. The mean velocity divergence turns out to be a third-order polynomial in the density contrast. We test the power spectrum dependence of the coefficients of the polynomial for scale-free and standard CDM spectra and find it rather weak. Over scales larger than about 5 megaparsecs, the scatter in the relation is small compared to that introduced by random errors in the observed density and velocity fields. The relation can be useful for recovering the peculiar velocity from the associated density field, and also for non-linear analyses of the anisotropies of structure in redshift surveys.
Chodorowski Michal
Lokas Ewa
Nusser Adi
Pollo Agnieszka
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