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- W2149614557 abstract "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 results with percent-level precision over a wide range of scales." @default.
- W2149614557 created "2016-06-24" @default.
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- W2149614557 date "2014-12-31" @default.
- W2149614557 modified "2023-09-24" @default.
- W2149614557 title "Separate universe simulations" @default.
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- W2149614557 doi "https://doi.org/10.1093/mnrasl/slu187" @default.
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