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arXiv 0909.1507astro-ph.COcond-mat.stat-mech
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星系分布与极值统计

Galaxy distribution and extreme value statistics

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

摘要:

我们考虑了每个星系周围的条件星系密度,并研究了斯隆数字巡天数据发布7的最新样本中的波动。在很大的尺度范围内,平均条件密度及其方差都表现出非平凡的标度行为,这类似于临界性。对于10 < r < 80 Mpc/h,密度仅微弱地(化学地)依赖于系统大小。相应地,我们发现密度涨落服从极值统计量的Gumbel分布。这种分布与高斯分布有明显的区别,高斯分布在均匀的空间星系结构中出现。我们还指出了统计物理学的星系分布和临界系统之间的相似之处。

英文摘要:

We consider the conditional galaxy density around each galaxy, and study its fluctuations in the newest samples of the Sloan Digital Sky Survey Data Release 7. Over a large range of scales, both the average conditional density and its variance show a nontrivial scaling behavior, which resembles to criticality. The density depends, for 10 < r < 80 Mpc/h, only weakly (logarithmically) on the system size. Correspondingly, we find that the density fluctuations follow the Gumbel distribution of extreme value statistics. This distribution is clearly distinguishable from a Gaussian distribution, which would arise for a homogeneous spatial galaxy configuration. We also point out similarities between the galaxy distribution and critical systems of statistical physics.

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