An alternative to grids and glasses : Quaquaversal pre-initial conditions for N-body simulations
(2007) In Astrophysical Journal 656(2 I). p.631-635- 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... (More)
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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- author
- Hansen, Steen H. ; Agertz, Oscar LU ; Joyce, Michael ; Stadel, Joachim ; Moore, Ben and Potter, Doug
- publishing date
- 2007-02-20
- type
- Contribution to journal
- publication status
- published
- keywords
- Methods: N-body simulations
- in
- Astrophysical Journal
- volume
- 656
- issue
- 2 I
- pages
- 5 pages
- publisher
- American Astronomical Society
- external identifiers
-
- scopus:33847712533
- ISSN
- 0004-637X
- DOI
- 10.1086/510477
- language
- English
- LU publication?
- no
- id
- 0405167e-aa9c-448d-a749-4339c0d63db9
- date added to LUP
- 2019-02-07 11:25:58
- date last changed
- 2023-02-28 15:44:48
@article{0405167e-aa9c-448d-a749-4339c0d63db9,
abstract = {{<p>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) ∼ k<sup>4</sup>], and is trivial to create. It should be particularly useful for warm dark matter and cold collapse simulations.</p>}},
author = {{Hansen, Steen H. and Agertz, Oscar and Joyce, Michael and Stadel, Joachim and Moore, Ben and Potter, Doug}},
issn = {{0004-637X}},
keywords = {{Methods: N-body simulations}},
language = {{eng}},
month = {{02}},
number = {{2 I}},
pages = {{631--635}},
publisher = {{American Astronomical Society}},
series = {{Astrophysical Journal}},
title = {{An alternative to grids and glasses : Quaquaversal pre-initial conditions for N-body simulations}},
url = {{http://dx.doi.org/10.1086/510477}},
doi = {{10.1086/510477}},
volume = {{656}},
year = {{2007}},
}