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arXiv 0909.0132astro-ph.CO
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打破斯隆数字巡天中空间星系波动的自平均特性-数据发布六

Breaking the self-averaging properties of spatial galaxy fluctuations in the Sloan Digital Sky Survey - Data Release Six

Francesco Sylos Labini, Nikolay L. Vasilyev, Yurij V. Baryshev

摘要:

有限样本分布的统计分析通常假设波动是自平均的,即它们在给定样本量的不同区域中在统计上是相似的。通过使用尺度长度方法,我们测试是否满足这一假设在几个样本的斯隆数字巡天数据发布六。我们发现,条件波动的概率密度函数(PDF),在足够大的空间尺度上过滤(即,r>30 Mpc/h),显示了调查的不同子体积中的相关系统变化。相反,对于尺度r<30 Mpc/h,PDF在统计上是稳定的,并且其一阶矩呈现出在1附近具有负指数的标度行为。因此,虽然高达30 Mpc/h的星系结构具有明确的幂律相关性,但在更大的尺度上,不可能将整个样本平均量视为有意义和有用的统计描述符。这种情况是由于星系结构对应的密度波动幅度太大,在空间上延伸得太远,以至于在样本体积内的大尺度上无法自平均:星系分布在最大尺度上是不均匀的,即SDSS样本探测到的r ~ 100 Mpc/h。我们表明,宇宙学修正,作为K-修正和标准的进化修正,不定性地改变相关的行为。最后,我们表明,在SDSS样本中观察到的大振幅星系波动与结构形成的标准LCDM模型的预测是不一致的。(删节版)。

英文摘要:

Statistical analyses of finite sample distributions usually assume that fluctuations are self-averaging, i.e. that they are statistically similar in different regions of the given sample volume. By using the scale-length method, we test whether this assumption is satisfied in several samples of the Sloan Digital Sky Survey Data Release Six. We find that the probability density function (PDF) of conditional fluctuations, filtered on large enough spatial scales (i.e., r>30 Mpc/h), shows relevant systematic variations in different sub-volumes of the survey. Instead for scales r<30 Mpc/h the PDF is statistically stable, and its first moment presents scaling behavior with a negative exponent around one. Thus while up to 30 Mpc/h galaxy structures have well-defined power-law correlations, on larger scales it is not possible to consider whole sample average quantities as meaningful and useful statistical descriptors. This situation is due to the fact that galaxy structures correspond to density fluctuations which are too large in amplitude and too extended in space to be self-averaging on such large scales inside the sample volumes: galaxy distribution is inhomogeneous up to the largest scales, i.e. r ~ 100 Mpc/h, probed by the SDSS samples. We show that cosmological corrections, as K-corrections and standard evolutionary corrections, do not qualitatively change the relevant behaviors. Finally we show that the large amplitude galaxy fluctuations observed in the SDSS samples are at odds with the predictions of the standard LCDM model of structure formation.(Abridged version).

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