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An Alternative to Grids and Glasses: Quaquaversal Pre-Initial Conditions for N-Body Simulations

Abstract : N-body simulations sample their initial conditions on an initial particle distribution, which for cosmological simulations is usually a glass or grid, while a Poisson distribution is used for galaxy models, spherical collapse, etc. These pre-initial conditions have inherent correlations, noise due to discreteness, and preferential alignments, while the glass distribution is poorly defined and computationally expensive to construct. We present a novel particle distribution that can be useful as a pre-initial condition for N-body simulations, using a simple construction based on a "quaquaversal'' tiling of space. This distribution has little preferred orientation (i.e., is statistically isotropic), has a rapidly vanishing large-scale power spectrum [P(k)~k4], and is trivial to create. It should be particularly useful for warm dark matter and cold collapse simulations.
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http://hal.in2p3.fr/in2p3-00138140
Contributor : Dominique Girod <>
Submitted on : Friday, March 23, 2007 - 2:51:12 PM
Last modification on : Monday, December 14, 2020 - 9:45:04 AM

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S.H. Hansen, O. Agertz, M. Joyce, J. Stadel, B. Moore, et al.. An Alternative to Grids and Glasses: Quaquaversal Pre-Initial Conditions for N-Body Simulations. The Astrophysical Journal, American Astronomical Society, 2007, 656, pp.631-635. ⟨10.1086/510477⟩. ⟨in2p3-00138140⟩

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