http://www.cnr.it/ontology/cnr/individuo/prodotto/ID279307

Extension and estimation of correlations in cold dark matter models (Articolo in rivista)

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Extension and estimation of correlations in cold dark matter models (Articolo in rivista) (literal)

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F. Sylos Labini (1,2); N.L. Vasilyev (3) (2008)
Extension and estimation of correlations in cold dark matter models
in Astronomy & astrophysics (Print)
(literal)

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(1) \"Enrico Fermi Center\", via Panisperna 89 A, Compendio del Viminale, 00184 Rome, Italy (2) \"Istituto dei Sistemi Complessi\" CNR, via dei Taurini 19, 00185 Rome, Italy (3) Sobolev Astronomical Institute, St.Petersburg State University, Staryj Peterhoff, 198504 St. Petersburg, Russia (literal)

Titolo

Abstract

We discuss the large-scale properties of standard cold dark-matter cosmological models characterizing the main features of the power spectrum, of the two-point correlation function, and of the mass variance. Both the real-space statistics show a very well-defined behavior on large enough scales, for their amplitudes to become smaller than unity. The correlation function, in the range {2}<\xi(r)<1$, is characterized by a typical length scale $r_{\rm c}$, where $\xi(r_{\rm c})=0$, which is fixed by the physics of the early universe. Beyond this scale it becomes negative, going to zero with a tail proportional to -(r-4). These anti-correlations thus represent an important observational challenge for verifying models in real space. The same length scale $r_{\rm c}$ characterizes the behavior of the mass variance, which decays for $r>r_{\rm c}$ as r-4, the fastest decay of any mass distribution. The length-scale $r_{\rm c}$ defines the maximum extension of (positively correlated) structures in these models. These are the features expected for the dark-matter field: however galaxies, which represent a biased field, may differ in their behaviors, which we analyze. We then discuss the detectability of these real-space features by considering several estimators of the two-point correlation function. By making tests on numerical simulations, we emphasize the important role of finite size effects, which should always be controlled for careful measurements. (literal)

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