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higher order moments of the matter distribution in scale-free cosmological simulations with large dynamic rangeWe calculate reduced moments (xi bar)(sub q) 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 power-law spectra P(k) proportional to k(exp 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 (xi bar)(sub 2), alone. We look for agreement with the hierarchical scaling ansatz, according to which ((xi bar)(sub q)) proportional to ((xi bar)(sub 2))(exp (q - 1)). For n less than or equal to -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 greater than or equal to -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.
Document ID
19950036082
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Lucchin, Francesco
(Univ. di Padova Padova, Italy)
Matarrese, Sabino
(Univ. di Padova Padova, Italy)
Melott, Adrian L.
(Univ. of Kansas, Lawrence, KS United States)
Moscardini, Lauro
(Univ. di Padova Padova, Italy)
Date Acquired
August 16, 2013
Publication Date
February 20, 1994
Publication Information
Publication: Astrophysical Journal, Part 1
Volume: 422
Issue: 2
ISSN: 0004-637X
Subject Category
ASTROPHYSICS
Funding Number(s)
CONTRACT_GRANT: NSF OSR-92-55223
CONTRACT_GRANT: NAGW-2923
CONTRACT_GRANT: NSF AST-90-21414
Distribution Limits
Public
Copyright
Other