用新的数值星系表（$ν^2$ GC）量化场变化对H $α$光度函数的影响
Quantifying the effect of field variance on the H$α$ luminosity function with the New Numerical Galaxy Catalogue ($ν^2$GC)
摘要：
本文基于半解析星系形成模型--新数值星系表（$ν^2$ GC），构建了一个H型$α$发射体（HAE）模型。在本文中，我们报告我们的估计的场方差的HAE分布。通过由星系的恒星形成率计算H-$α$光度，我们的模型很好地再现了观测到的$z=0.4$处的H-$α$光度函数（LF）。$ν^2$ GC的大体积使得可以检查在共动尺度中在（411.8 Mpc）$^3$区域上的HAE的空间分布。含$L_{\rm Hα} \geq 10^{40}$和$^{-1}$的$z=0.4$ HAE的表面数密度为308.9 deg $^{-2}$。我们已经证实，HAE是一个有用的示踪剂的大尺度结构的宇宙，因为他们显着的过密度（$>$ 5 $σ$）在集群和星系结构。在$\sim$ 2 deg $^2$的调查区域内的H $α$ LF（以前的观察性研究的典型值）显示了高达$\sim$ 1 dex的显著场方差。基于我们的模型，可以估计给定调查区域内H $α$ LF的方差。
英文摘要：
We construct a model of H$α$ emitters (HAEs) based on a semi-analytic galaxy formation model, the New Numerical Galaxy Catalog ($ν^2$GC). In this paper, we report our estimate for the field variance of the HAE distribution. By calculating the H$α$ luminosity from the star-formation rate of galaxies, our model well reproduces the observed H$α$ luminosity function (LF) at $z=0.4$. The large volume of the $ν^2$GC makes it possible to examine the spatial distribution of HAEs over a region of (411.8 Mpc)$^3$ in the comoving scale. The surface number density of $z=0.4$ HAEs with $L_{\rm Hα} \geq 10^{40}$ erg s$^{-1}$ is 308.9 deg$^{-2}$. We have confirmed that the HAE is a useful tracer for the large-scale structure of the Universe because of their significant overdensity ($>$ 5$σ$) at clusters and the filamentary structures. The H$α$ LFs within a survey area of $\sim$2 deg$^2$ (typical for previous observational studies) show a significant field variance up to $\sim$1 dex. Based on our model, one can estimate the variance on the H$α$ LFs within given survey areas.
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