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Separate universe simulations
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DOI：10.1093/mnrasl/slu187.png)
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摘要
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The large-scale statistics of observables such as the galaxy density are chiefly determined by their dependence on the local coarse-grained matter density. This dependence can be measured directly and efficiently in N-body simulations by using the fact that a uniform density perturbation with respect to some fiducial background cosmology is equivalent to modifying the background and including curvature, i.e. by simulating a 'separate universe'. We derive this mapping to fully non-linear order, and provide a step-by-step description of how to perform and analyse the separate universe simulations. This technique can be applied to a wide range of observables. As an example, we calculate the response of the non-linear matter power spectrum to long-wavelength density perturbations, which corresponds to the angle-averaged squeezed limit of the matter bispectrum and higher n-point functions. Using only a modest simulation volume, we obtain simulation results for the bispectrum and trispectrum with per cent-level precision over a wide range of scales.
Keyword:
large-scale structure of Universe
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期刊
IF:
4.8
论文数:
7.1W
被引数:
25.0W
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