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arXiv 1406.6072astro-ph.COastro-ph.IM
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宇宙学随机场的快速产生

On fast Generation of Cosmological Random Fields

Julien Carron, Melody Wolk, Istvan Szapudi

摘要:

宇宙学随机场的统计平移不变性被一个有限的观测边界打破,与可观测的傅里叶模式相关。生成高斯场的标准方法要么忽略这些相关性,要么成本高,或者两者兼而有之。在这里,我们报告了一个快速和准确的模拟方法适用于广泛的两点统计,需要模拟的周期性网格只有两倍的调查侧快速傅立叶变换。超巡天模式,支配的协方差的功率谱超出线性尺度的星系调查,并导致相关的大,小尺度,“拍耦合”,或“超样本”的协方差,精确地占在高斯场的非线性变换。作为一个应用,我们模拟CFHTLS $\sim 7^\circ \times 7^\circ$ W1星系密度场,建模为对数正态密度场的泊松采样。我们表明,我们的模拟产生的功率谱,$A^*$功率谱,计数在细胞的概率分布以及协方差完全符合数据。此外,我们的技术再现的信息高原超出线性尺度观察到以前在斯隆数字巡天星系目录和$N$体模拟。因此,我们的方法是一个有效而强大的模拟和预测工具的星系调查数据和协方差。

英文摘要:

The statistical translation invariance of cosmological random fields is broken by a finite survey boundary, correlating the observable Fourier modes. Standard methods for generating Gaussian fields either neglect these correlations, or are costly, or both. Here we report on a fast and exact simulation method applicable to a wide class of two-point statistics that requires the simulation of a periodic grid of only twice the survey side with fast Fourier transforms. Super-survey modes, dominating the covariance of power spectra beyond linear scales in galaxy surveys and causing the correlation of large and small scales, "beat coupling", or "super-sample" covariance, are precisely accounted for in non-linear transformations of the Gaussian field. As an application, we simulate the CFHTLS $\sim 7^\circ \times 7^\circ$ W1 galaxy density field, modeled as a Poisson sampling of a lognormal density field. We show that our simulations produce power spectra, $A^*$-power spectra, counts-in-cells probability distributions as well as covariances perfectly consistent with the data. In addition, our technique reproduces the information plateau beyond linear scales as observed previously in Sloan Digital Sky Survey galaxy catalogs and in $N$-body simulations. Our method is thus an efficient yet powerful simulation and prediction tool for galaxy survey data and covariances.

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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