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• W3105655208 abstract "view Abstract Citations (37) References (42) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Higher Order Moments of the Matter Distribution in Scale-free Cosmological Simulations with Large Dynamic Range Lucchin, Francesco ; Matarrese, Sabino ; Melott, Adrian L. ; Moscardini, Lauro Abstract We calculate reduced moments ξ_q_^bar^ of the matter density fluctuations, up to order q = 5, from counts in cells produced by particle-mesh numerical simulations with scale-free Gaussian initial conditions. We use powerlaw spectra P(k) is proportional to k^n^ with indices n = - 3, - 2, - 1, 0, 1. Due to the supposed absence of characteristic times or scales in our models, all quantities are expected to depend on a single scaling variable. For each model, the moments at all times can be expressed in terms of the variance ξ_2_^bar^, alone. We look for agreement with the hierarchical scaling ansatz, according to which ξ_q_^bar^ is proportional to ξ_2_^bar^q-1^. For n <= -2 models, we find strong deviations from the hierarchy, which are mostly due to the presence of boundary problems in the simulations. A small, residual signal of deviation from the hierarchical scaling is however also found in n >= -1 models. The wide range of spectra considered and the large dynamic range, with careful checks of scaling and shot-noise effects, allows us to reliably detect evolution away from the perturbation theory result. Publication: The Astrophysical Journal Pub Date: February 1994 DOI: 10.1086/173739 arXiv: arXiv:astro-ph/9304002 Bibcode: 1994ApJ...422..430L Keywords: Astronomical Models; Computerized Simulation; Distribution Moments; Galactic Clusters; Galactic Evolution; Mass Distribution; Mathematical Models; Moment Distribution; Statistical Analysis; Perturbation Theory; Power Spectra; Scaling Laws; Shot Noise; Variance (Statistics); Astrophysics; COSMOLOGY: THEORY; GALAXIES: CLUSTERING; GALAXIES: FORMATION; COSMOLOGY: LARGE-SCALE STRUCTURE OF UNIVERSE; Astrophysics E-Print: 24 pages in Tex, DAPD 220 full text sources arXiv | ADS |" @default.
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• W3105655208 title "Higher order moments of the matter distribution in scale-free cosmological simulations with large dynamic range" @default.
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• W3105655208 doi "https://doi.org/10.1086/173739" @default.
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