Finite volume effects and N-body matter correlations in a CDM simulation

Computer Science

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Scientific paper

We study, using count probabilities measurements, the consequences of finite sample effects on N-body (2 <= N <= 5) averaged matter correlation functions barξ_N inside cubic volumes for a CDM universe (Efstathiou et al. 1988) with approx 3 10^5 particles generated with a PM code. We try to assess the importance of this effect by applying some correction to the data. The results show that finite effects should be important on N-body correlation functions for N >= 3, and not negligible even on the two-point correlation function. Moreover, once corrected, the statistical properties of this CDM universe appear compatible with the scaling relation (Groth & Peebles 1977; Davis & Peebles 1983; Fry & Peebles 1978; Sharp, Bonometto & Lucchin 1984) barξ_N/barξ_2^{N-1}= constant with respect to scale, over all scales investigated, which was not the case with direct uncorrected measurements.

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