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arXiv 0810.0273astro-ph
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全局聚类分析中的晕随机性

Halo stochasticity in global clustering analysis

Silvia Bonoli, Ue-Li Pen

摘要:

在目前的工作中,我们研究的统计晕,这在晕模型决定的星系分布。晕是已知的暗物质的有偏示踪剂,在大尺度上,通常假设两个场之间没有内在的随机性。在Seljak & Warren(2004)的工作之后,我们探讨了这个假设的正确性,并进一步尝试限定随机性的性质。我们使用主成分分析应用于宇宙学N体模拟的输出:(1)探索不同质量的晕之间的相关性的随机性的行为;(2)探索晕和暗物质之间的相关性的随机性的行为。我们展示了一个包含210万个晕的星表的结果,这些结果来自一个盒子大小为1000 h ^{-1}Mpc的PMFAST模拟。在不同种群的晕之间的关系中,我们发现,即使在大尺度上,随机性也是不可忽略的。与Tegmark & Bromley(1999)研究不同星系群相关性的结论一致,我们发现,减去散粒噪声的随机性与“增强”的散粒噪声有质的不同,具体地说,它是由一个单一的随机本征值决定的。我们称之为“最小随机”的情况,而不是“最大随机”的散粒噪声。在晕和暗物质之间的相关性中,我们发现,正如预期的那样,在暗物质峰值附近(λ CDM宇宙学的k ~ 0.02 h Mpc^{-1}),随机性被最小化,即使在大尺度上,它也比散粒噪声高出15%。此外,我们发现,重建的暗物质分布的改善时,我们使用本征向量作为示踪剂的偏见。[删节]

英文摘要:

In the present work we study the statistics of haloes, which in the halo model determines the distribution of galaxies. Haloes are known to be biased tracer of dark matter, and at large scales it is usually assumed there is no intrinsic stochasticity between the two fields. Following the work of Seljak & Warren (2004), we explore how correct this assumption is and, moving a step further, we try to qualify the nature of stochasticity. We use Principal Component Analysis applied to the outputs of a cosmological N-body simulation to: (1) explore the behaviour of stochasticity in the correlation between haloes of different masses; (2) explore the behaviour of stochasticity in the correlation between haloes and dark matter. We show results obtained using a catalogue with 2.1 million haloes, from a PMFAST simulation with box size of 1000h^{-1}Mpc. In the relation between different populations of haloes we find that stochasticity is not-negligible even at large scales. In agreement with the conclusions of Tegmark & Bromley (1999) who studied the correlations of different galaxy populations, we found that the shot-noise subtracted stochasticity is qualitatively different from `enhanced' shot noise and, specifically, it is dominated by a single stochastic eigenvalue. We call this the `minimally stochastic' scenario, as opposed to shot noise which is `maximally stochastic'. In the correlation between haloes and dark matter, we find that stochasticity is minimized, as expected, near the dark matter peak (k ~ 0.02 h Mpc^{-1} for a LambdaCDM cosmology) and, even at large scales, it is of the order of 15 per cent above the shot noise. Moreover, we find that the reconstruction of the dark matter distribution is improved when we use eigenvectors as tracers of the bias. [Abridged]

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