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An Alternative to Grids and Glasses: Quaquaversal Pre‐Initial Conditions forN‐Body Simulations
Author(s) -
Steen H. Hansen,
Oscar Agertz,
Michael Joyce,
Joachim Stadel,
Ben Moore,
D. Potter
Publication year - 2007
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/510477
Subject(s) - statistical physics , distribution (mathematics) , isotropy , physics , poisson distribution , grid , simple (philosophy) , classical mechanics , mathematics , mathematical analysis , geometry , optics , statistics , philosophy , epistemology
8 pages, 6 figures, extended discussion of level of isotropy, matches version accepted in ApJN-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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