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arXiv 1409.6294astro-ph.CO
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独立宇宙模拟

Separate Universe Simulations

Christian Wagner, Fabian Schmidt, Chi-Ting Chiang, Eiichiro Komatsu

摘要:

星系密度等大尺度观测量的统计主要取决于它们对局部粗粒物质密度的依赖性。这种依赖性可以在N体模拟中直接有效地测量,方法是使用相对于某些基准背景宇宙学的均匀密度扰动等效于修改背景并包括曲率的事实,即,通过模拟一个“独立的宇宙”我们推导出这种映射到完全非线性的顺序,并提供了一步一步的描述如何执行和分析单独的宇宙模拟。这种技术可以应用于广泛的观测。作为一个例子,我们计算了非线性物质功率谱对长波长密度扰动的响应,它对应于物质双谱的角平均压缩极限和更高的$n$ -点函数。仅使用一个适度的模拟量,我们得到的结果与在很大范围内的尺度的精度为100级。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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