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23 April 2024 |
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Experimental Cosmic Statistics I: Variance | | Stéphane Colombi István Szapudi
; Adrian Jenkins
; Jörg Colberg
; | | Date: |
10 Dec 1999 | | Subject: | astro-ph | | Affiliation: | IAP) István Szapudi (CITA), Adrian Jenkins (Durham) and Jörg Colberg (MPA, Garching | | Abstract: | Counts-in-cells are measured in the $ au$CDM Virgo Hubble Volume simulation. This large N-body experiment has 10^9 particles in a cubic box of size 2000 h^{-1} Mpc. The unprecedented combination of size and resolution allows for the first time a realistic numerical analysis of the cosmic errors and cosmic correlations of statistics related to counts-in-cells measurements, such as the probability distribution function P_N itself, its factorial moments F_k and the related cumulants $xiav$ and S_N’s. These statistics are extracted from the whole simulation cube, as well as from 4096 sub-cubes of size 125 h^{-1}Mpc, each representing a virtual random realization of the local universe. The measurements and their scatter over the sub-volumes are compared to the theoretical predictions of Colombi, Bouchet & Schaeffer (1995) for P_0, and of Szapudi & Colombi (1996, SC) and Szapudi, Colombi & Bernardeau (1999a, SCB) for the factorial moments and the cumulants. The general behavior of experimental variance and cross-correlations as functions of scale and order is well described by theoretical predictions, with a few percent accuracy in the weakly non-linear regime for the cosmic error on factorial moments. (... more in paper >...) | | Source: | arXiv, astro-ph/9912236 | | Services: | Forum | Review | PDF | Favorites | |
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