宇宙的大尺度结构

在宇宙的已观测的范围内,从尺度10~(10)cm直到10~(26)cm可视物质的分布是不均匀的。对星系三维分布的研究结果表明,绝大多数的星系集中在由星系的带、群和团组成的超星系团中;而在超星系团之间是几乎没有可视天体的巨洞。宇宙的大尺度结构(在尺度10Mpc—10~2Mpc上星系分布不均匀性的特征)似乎是网状的。对类星体红移分布的统计分析结果表明,在大尺度结构中可能有周期性分布的成分。周期尺度是10~2Mpc的数量级。 在另一方面,关于微波背景辐射的温度起伏的观测(δT/T 10~(-5),在角尺度10′—180°的范围)表明,宇宙中的物质在更大尺度(10~3Mpc)上的分布是均匀的。 大尺度结构是怎样从早期均匀的背景宇宙中增长起来的?这是在宇宙学中最重要也是最困难的问题上一;要解决这个问题需要有关于宇宙的完善的模型。目前所流行的、关于大尺度结构的理论,基本上是以膨胀宇宙论和密度扰动的理论为基础的理论。 在绝热密度扰动(假定初始扰动是绝热的)的方案中,有两种观念特别值得注意: 1,宇宙密度波的观念。在早期宇宙中的扰动有可能在氢复合前形成有物理意义的相干波列;这种波——“宇宙密度波”在氢复合之后有可能影响物质的分布。作为宇宙密度波的可观测遗迹,可以解释已观测的星系分布不均匀性的上限尺度,以及在类星     

宇宙在大尺度上是均匀的吗?

宇宙中的物质在大尺度上是均匀分布的,还是保持着分形分布的特点,成为近年来观测宇宙学中争论的一个热点。Ｐｉｅｔｒｏｎｅｒｏ等人认为直到目前观测到的最大尺度（≈１０００ｈ＾－１Ｍｐｃ）星系的分布仍保持Ｄ≈２的分形结构,而大多数坚持标准模型的宇宙学家都认为宇宙在大尺度上是均匀分布的。宇宙物质在大尺度上是否均匀分布,将由下一代的红移巡天的结果来判断。     

不同光度星系大尺度分布的交叉相关分析

在对不同光度星系大尺度分布进行空间两点相关函数分析的基础上,仍以CfA红移巡天资料为样本,对不同光度星系分布进行了交叉相关分析。结果表明,不同光度星系间的交叉相关函数仍可近似地以幂函数表示,说明不同光度星系在空间是一起成团的。但在较小尺度上((?)4—6Mpc),光度较高的星系间相关更强,而在更大一些尺度上光度较高的星系间相关减弱更快,甚至变得比与光度较低星系间的相关更弱。结合前面对自相关函数分析的结果可以看到,统计上看来,星系分布形成群和团。群或团中亮的星系形成更致密的分布而较暗的星系则在这些群和团中分布较弥散。此结果表明星系光度和其环境(密度)有关,从而从观测上为Biased星系形成理论提供了一个可能的证据。     

宇宙大尺度分形结构的上限

本文给出了用几种达到不同极限星等的星系表确定宇宙分形结构上限截止尺度的公式.利用Zwicky星系表、Shane-Wirtanen星系表和Jagellonian天区的星系表的数据,可以估计这一截止尺度R_c至少为60—70Mpc,且R_c随着自相似分布所占比例f的减小而增大,或可大到约270Mpc的尺度.     

星系大尺度本动速度

本文从高斯型的初始质量密度扰动出发,采用球对称演化模型计算了星系大尺度本动速度随尺度的分布。采用这样一种模型可以避免通常流体模型中线性增长以及窗函数的假设,对不同的宇宙物质主导成分的讨论表明,在各种情况下本动速度的期待值v_p在大尺度上的分布是随着尺度的增大而逐渐减小,这与流体模型以及宇宙弦模型下的趋势是一致的,但对所有参数的可能取值所作的计算表明,理论结果很难解释Dressler等人在r～60h~(-1)Mpc的尺度上观测到的大的本动速度,这很可能是由于在本星系群(LG)之外r 60h~(-1)Mpc的远处存在着一个大质量的物质凝聚区域。     

大天区星系红移巡天

星系的红移巡天是观测宇宙学中最基本的工作,有关宇宙大尺度结构研究中的许多关键问题,例如宇宙中最大结构的尺度,宇宙中大尺度结构的拓扑特征,以及有关宇宙物质分布的密度场和速度场的许多基本性质的研究,都依赖于覆盖面积足够大、极限星等足够暗的完备的星系红移大样本。通过对巡天的覆盖天区、巡天深度、选择方法、巡产率等方面的分析,比较了最近已完成的一些红移巡天（ＩＲＡＳ、ＣｆＡ、ＳＳＲＳ、ＯＲＳ和ＬＣＲＳ等）并     

形形色色的星系

仙女座星系是人类证认的第一个河外星系,哈勃的发现开辟了研究宇宙的新途径即“观测宇宙学”,从此天文观测家们开始研究单个星系的组成和结构,同时研究大量星系在空间中的分布和运动。这之中业绩卓著者当数哈勃。     

基于红移畸变测量宇宙结构增长率的进展

星系红移巡天的一个主要目标是依据光谱红移测距,详细刻画宇宙中星系的三维空间分布。由于星系本动速度的存在,红移空间的星系分布存在着严重畸变,在大小尺度上有着不同模式的各向同性偏离。通过对红移畸变的观测研究,人们可从中获取速度场的信息,因此,红移畸变已成为暗能量探测的重要探针之一,为检验宇宙学尺度上的引力模型提供帮助。当前星系红移巡天项目已经取得了非凡成功,为人们提供了详细的星系空间分布数据。人们据此测量了星系的相关函数和功率谱,提取了精确的红移畸变信号,并通过模型拟合限制出了一批不同红移处宇宙结构增长率的估值,为探索宇宙尺度的引力模式提供了数据支持。主要介绍红移畸变模型、星系红移巡天观测和宇宙结构增长率测量等研究进展。     

两点相关函数,关联分维及IRAS星系大尺度分布的典型尺度

本对两点相关函数及关联分维间的关系进行了讨论，以ＩＲＡＳ星系红移天样本作为例子进行分析。分析结果表明，在大尺度上，ＩＲＡＳ星系的分布既不能用简单幂律形式的两点关函数，也不能用简单分形来描写，它可以用多级分形来更好地描写，多级分形结构的主要特征之一是存在典型尺度，即相邻分形间的转变尺度，用非归一计数方法可以有效耐 准确地确定这些典型尺度。存在典型尺度对目前已有的结构形成模型提出了挑战。     

大天巨星系红移巡天

星系的红移巡天是观测宇宙学中最基本的工作,有关宇宙大尺度结构研究中的许多关键问题,例如宇宙中最大结构的尺度,宇宙中大尺度结构的拓扑特征,以及有关宇宙物质分布的密度场和速度场的许多基本性质的研究,都依赖于覆盖面积足够大、极限星等足够暗的完备的星系红移大样本．通过对巡天的覆盖天区、巡天深度、选样方法、巡样率等方面的分析,比较了最近已完成的一些红移巡天（IRAS、CfA、SSRS、ORS和LCRS等）并对计划中的2dF和SDSS巡天计划作了简要介绍．     

Testing the Homogeneity of Large-scale Structure with the SDSS Data

One of the basic assumptions in cosmology is that the universe is homogeneous and isotropic on large scales. This assumption is the most important keystone of modern cosmology. In order to verify the homogeneity of galaxy distribution on large scales, we have computed the fractal dimensionality of the galaxy distribution in SDSS-DR4. The fractal dimensionality of the observed spatial geometric bodies is determined with random samples. The redshifts of sample galaxies are in the range 0.01～0.26. When the scale grows continuously to dozens of Mpc, the fractal dimensionality of the galaxy distribution approaches to 3 consistently. All the 6 samples exhibit obviously a transition scale. For scales larger than the transition scale, the fractal dimensionality D_G of the galaxy distribution is very close to 3, the galaxy distribution is homogeneous. This result supports the assumption that the universe is homogeneous on large scales. The transition scale of the sample increases with the luminosity of the sample. This means that the galaxy distribution on small scales is not a of simple fractal distribution, but a multi-fractal distribution. The transition scale of high-luminosity galaxies is very large, the distribution will not become homogeneous till about 100 h^?1Mpc.     

Approaching a homogeneous galaxy distribution: results from the Stromlo–APM redshift survey

Recent results from a number of redshift surveys suggest that the Universe is well described by an inhomogeneous, fractal distribution on the largest scales probed. This distribution has been found to have fractal dimension, D , approximately equal to 2.1, in contrast to a homogeneous distribution in which the dimension should approach the value 3 as the scale is increased. In this paper we demonstrate that estimates of D , based on the conditional density of galaxies, are prone to bias from several sources. These biases generally result in a smaller measured fractal dimension than the true dimension of the sample. We illustrate this behaviour in application to the Stromlo–APM redshift survey, showing that this data set in fact provides evidence for fractal dimension increasing with survey depth. On the largest scale probed, r ≈60  h ⁻¹ Mpc, we find evidence for a distribution with dimension D =2.76±0.10. A comparison between this sample and mock Stromlo–APM catalogues taken from N -body simulations (which assume a CDM cosmology) reveals a striking similarity in the behaviour of the fractal dimension. Thus we find no evidence for inhomogeneity in excess of that expected from conventional cosmological theory. We consider biases affecting future large surveys and demonstrate, using mock SDSS catalogues, that this survey will be able to measure the fractal dimension on scales at which we expect to see full turn-over to homogeneity, in an accurate and unbiased way.     

Statistical properties of the spatial distribution of galaxies

The methods of determining the fractal dimension and irregularity scale in simulated galaxy catalogs and the application of these methods to the data of the 2dF and 6dF catalogs are analyzed. Correlation methods are shown to be correctly applicable to fractal structures only at the scale lengths from several average distances between the galaxies, and up to (10 ? 20)% of the radius of the largest sphere that fits completely inside the sample domain. Earlier the correlation methods were believed to be applicable up to the entire radius of the sphere and the researchers did not take the above restriction into account while finding the scale length corresponding to the transition to a uniform distribution. When an empirical formula is applied for approximating the radial distributions in the samples confined by the limiting apparent magnitude, the deviation of the true radial distribution from the approximating formula (but not the parameters of the best approximation) correlate with fractal dimension. An analysis of the 2dF catalog yields a fractal dimension of 2.20 ± 0.25 on scale lengths from 2 to 20 Mpc, whereas no conclusive estimates can be derived by applying the conditional density method for larger scales due to the inherent biases of the method. An analysis of the radial distributions of galaxies in the 2dF and 6dF catalogs revealed significant irregularities on scale lengths of up to 70 Mpc. The magnitudes and sizes of these irregularities are consistent with the fractal dimension estimate of D =2.1–2.4.     

Large-scale cosmic homogeneity from a multifractal analysis of the PSCz catalogue

We investigate the behaviour of galaxy clustering on large scales using the PSC z catalogue. In particular, we ask whether there is any evidence of large-scale fractal behaviour in this catalogue. We find the correlation dimension in this survey varies with scale, consistent with other analyses. For example, our results on small and intermediate scales are consistent those obtained from the QDOT sample, but the larger PSC z sample allows us to extend the analysis out to much larger scales. We find firm evidence that the sample becomes homogeneous at large scales; the correlation dimension of the sample is D ₂=2.992±0.003 for r >30  h ⁻¹ Mpc. This provides strong evidence in favour of a universe that obeys the cosmological principle.     

Why is the universe homogeneous?

The very early universe must have been extremely homogeneous, even on scales far exceeding the particle horizon. Within the framework of the standard Friedmann cosmology, homogenization can only be achieved by quantum effects which violate classical causality. This could happen when the particle horizon was smaller than the Compton wavelength of the pion. The assumption that statistical departures from equilibrium started to grow after this epoch leads to a prediction of the density fluctuations at recombination. The amplitude ν of the fluctuations should have a maximum of about 0.007 on scales of 8₁₀17M. For smaller scales, ν ∝M ^+1/6, and for larger scales, ν ∝M ^?1/2. This suggests that superclusters condense out at a red shift of about 11, and clusters and then galaxies form shortly after by fragmentation.     

暗蓝星系计数的过剩问题

人们在极暗蓝星等处观测到数目巨大的星系，远比星系的无演化模型预计的多。随后的观测和理论发展进一步丰富了对暗蓝星系过剩问题的研究。Ｂ，Ｋ波段的星等计数、红移计数、颜色计数、成闭性等的观测是这一问题的主要观测约束。     

Is the universe homogeneous? (On large scales)

I critically discuss in a pedagogical and phenomenological way a few crucial tests challenging the recent claims by Pietronero and collaborators that there is no evidence from available galaxy catalogues that the Universe is actually homogeneous above a certain scale. In a series of papers, these authors assert that observations are consistent with a fractal distribution of objects extending to the limit of the present data. I show that while galaxies are indeed clustered in a scale-free (fractal) way on small and intermediate scales, this behaviour does not continue indefinitely. Although the specific wavelength at which the galaxy distribution apparently turns to homogeneity is dangerously close to the size of the largest samples presently available, there are serious hints suggesting that this turnover is real and that its effects are detected in the behaviour of statistical estimators. The most recent claims of a continuing fractal hierarchy up to scales of several hundreds Megaparsecs seem to be ascribable to the use of incomplete samples or to an improper treatment of otherwise high-quality data sets. The fractal perspective, nevertheless, represents a fruitful way to look at the clustering properties of galaxies, when properly coupled to the traditional gravitational instability scenario. In the last part of this paper I will try to clarify, at a very simple level, some of the confusion existing on the actual scaling properties of the galaxy distribution, and discuss how these can provide hints on the evolution of the large-scale structure of the Universe.     

Clustering Property of Wolf-Rayet Galaxies in the SDSS

We have analysed, for the first time, the clustering properties of Wolf-Rayet (W-R) galaxies, using a large sample of 846 W-R galaxies selected from the Data Release 4 (DR4) of the Sloan Digital Sky Survey (SDSS). We compute the cross-correlation function between W- R galaxies and a reference sample of galaxies drawn from the DR4. We compare the function to the results for control samples of non-W-R star-forming galaxies that are matched closely in redshift, luminosity, concentration, 4000-A break strength and specific star formation rate (SSFR). On scales larger than a few Mpc, W-R galaxies have almost the same clustering amplitude as the control samples, indicating that W-R galaxies and non-W-R control galax- ies populate dark matter haloes of similar masses. On scales between 0.1-1 h-1 Mpc, W-R galaxies are less clustered than the control samples, and the size of the difference depends on the SSFR. Based on both observational and theoretical considerations, we speculate that this negative bias can be interpreted by W-R galaxies residing preferentially at the centers of their dark matter haloes. We examine the distribution of W-R galaxies more closely using the SDSS galaxy group catalogue of Yang et al., and find that ～82% of our W-R galaxies are the central galaxies of groups, compared to ～74% for the corresponding control galaxies. We find that W-R galaxies are hosted, on average, by dark matter haloes of masses of 1012,3 M☉, compared to 1012,1 M? For centrally-located W-R galaxies and 1012,7 M☉ For satellite ones. We would like to point out that this finding, which provides a direct observational support to our conjecture, is really very crude due to the small number of W-R galaxies and the incom- pleteness of the group catalogue, and needs more work in future with larger samples.     

河外IRAS暗源大尺度分布的二维分析

本文对ＩＲＡＳ暗源表中４个选区内的ＩＲＡＳ星系的两点角相关函数，关联分维进行了计算。结果表明，所有选区内的星系呈现小角尺度上的成团。在较大角尺度上，分布可以用多级分形很好地表示。在更大角尺度上，用非归一星系对计数可以探测到密度分布中可能存在的典型尺度。当取４个选区的平均值作为ＩＲＡＳ星系在宇宙中分布情况的代表时，所得结果与用全天ＩＲＡＳ点源表和其他巡天资料得到的结果一致。