arXiv subjects

Renyue Cen

Publications and source records attributed to Renyue Cen.

250 records · Page 14Linked to original sources

arXiv1995

The Baryon Fraction and Velocity--Temperature Relation in Galaxy Clusters : Models versus Observations

The observed baryon fraction and velocity--temperature relation in clusters of galaxies are compared with hydrodynamic simulations in two cosmological models : standard (Omega = 1) and a low-density flat (Omega=0.45 and λ=0.55) CDM models, normalized to the COBE background fluctuations. The observed properties of clusters include the velocity dispersion versus temperature relation, the gas mass versus total mass relation, and the gas mass fraction versus velocity dispersion relation. We find that, while both cosmological models reproduce well the shape of these observed functions, only low-density CDM can reproduce the observed amplitudes. The cluster gas mass fraction reflects approximately the baryon fraction in the models, with a slight anti-bias. Therefore, due to the low baryon density given by nucleosynthesis, Omega = 1 models produce too few baryons in clusters compared with observations. Scaling our results as a function of Omega, we find that a low-density CDM model, with Omega approximately 0.3 - 0.4, best reproduces the observed mean baryon fraction in clusters. The observed beta parameter of clusters, beta = sigma^2/(k T/mu m_p) = 0.94 \pm 0.08 discriminates less well between the models; it is consistent with that produced by low-density CDM (1.10 \pm 0.22), while it is slightly larger than expected but still consistent with Omega = 1 (0.70 \pm 0.14).

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arXiv1995

Background X-ray Emission from Hot Gas in CDM and CDM+Lambda Universes: Spectral Signatures

We present a new treatment of two popular models for the growth of structure, examining the X-ray emission from hot gas with allowance for spectral line emission from various atomic species, primarily ``metals". The X-ray emission from the bright cluster sources is not significantly changed from prior work and, as noted earlier, shows the CDM$+Λ$ model (LCDM) to be consistent but the standard, COBE normalized model (SCDM) to be inconsistent with existing observations --- after allowance for still the considerable numerical modelling uncertainties. But we find one important new result. Radiation in the softer band 0.5-1.0keV is predominantly emitted by gas far from cluster centers (hence ``background"). This background emission dominates over the cluster emission below 1keV and observations of it should show clear spectral signatures indicating its origin. In particular the ``iron blend" should be seen prominantly in this spectral bin from cosmic background hot gas at high galactic latitudes and should show shadowing against the SMC indicating its extragalactic origin. Certain OVII lines also provide a signature of this gas which emits a spectrum characteristic of $10^{6.6\pm 0.6}$K gas. Recent ASCA observations of the X-ray background tentatively indicate the presence of component with exactly the spectral features we predict here.

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arXiv1995

Topology of Large-Scale Structure by Galaxy Type: Hydrodynamic Simulations

The topology of large scale structure is studied as a function of galaxy type using the genus statistic. In hydrodynamical cosmological CDM simulations, galaxies form on caustic surfaces (Zeldovich pancakes) then slowly drain onto filaments and clusters. The earliest forming galaxies in the simulations (defined as ``ellipticals") are thus seen at the present epoch preferentially in clusters (tending toward a meatball topology), while the latest forming galaxies (defined as ``spirals") are seen currently in a spongelike topology. The topology is measured by the genus (= number of ``donut" holes - number of isolated regions) of the smoothed density-contour surfaces. The measured genus curve for all galaxies as a function of density obeys approximately the theoretical curve expected for random-phase initial conditions, but the early forming elliptical galaxies show a shift toward a meatball topology relative to the late forming spirals. Simulations using standard biasing schemes fail to show such an effect. Large observational samples separated by galaxy type could be used to test for this effect.

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arXiv1994

The Motions of Clusters and Groups of Galaxies

The distributions of peculiar velocities of rich clusters and of groups of galaxies are investigated for different cosmological models and are compared with observations. Four cosmological models are studied: standard ($Ω=1$) CDM, low-density ($Ω=0.3$) CDM, HDM ($Ω=1$), and PBI ($Ω=0.3$), all COBE normalized. We find that rich clusters of galaxies exhibit a Maxwellian distribution of peculiar velocities in all models,as expected from a Gaussian initial density field. The cluster 3-D velocity distribution typically peaks at $v \sim 600$ km s$^{-1}$, and extends to high cluster velocities of $v \sim 2000$ km s$^{-1}$. The low-density CDM model exhibits somewhat lower velocities: it peaks at $\sim 400$ km s$^{-1}$, and extends to $\sim 1200$ km s$^{-1}$. Approximately 10\% ($\sim$1\% for low- density CDM) of all model rich clusters move with high peculiar velocities of $v \ge 10^3$ km s$^{-1}$. The highest velocity clusters frequently originate in dense superclusters. The model velocity distributions of groups and clusters of galaxies are compared with observations. The data exhibit a larger high-velocity tail, to $v_r \geq 2000$ km s$^{-1}$, than seen in the model simulations (except HDM). Due to the large observational uncertainties, however, the data are consistent at a $\sim 1$ to $3σ$ level with the model predictions and with a Gaussian initial density field. Accurate observations of cluster peculiar velocities, especially at the high-velocity tail, should provide powerful constraints on the cosmological models.

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arXiv1994

Testing Cosmogonic Models with Gravitational Lensing

Gravitational lensing provides a strict test of cosmogonic models. Detailed numerical propagation of light rays through a universe having a distribution of inhomogeneities derived from the standard CDM (cold dark matter) scenario with the aid of massive, fully nonlinear computer simulations is used to test the model. It predicts that we should have seen far more widely split quasar images than have been found. These and other inconsistencies rule out the COBE normalized CDM model with $Ω=1$ and $H_0=50$km/s/Mpc; but variants of this model might be constructed, which could pass the stringent tests provided by strong gravitational lensing.

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arXiv1994

Velocity Correlations of Galaxy Clusters

We determine the velocity correlation function, pairwise peculiar velocity difference, and root-mean-square pairwise peculiar velocity dispersion of rich clusters of galaxies, as a function of pair separation, for three cosmological models: Omega=1 and Omega=0.3 CDM, and Omega=0.3 PBI models (all flat and COBE-normalized). We find that close cluster pairs, with separation r<10Mpc/h, exhibit strong attractive peculiar velocities in all models; the cluster pairwise velocities depend sensitively on the model. The mean pairwise attractive velocity of clusters on 5Mpc/h scale ranges from 1700 km/s for Omega=1 CDM, to 1000 km/s for PBI, to 700 km/s for Omega=0.3 CDM. The small-scale pairwise velocities depend also on cluster mass: richer, more massive clusters exhibit stronger attractive velocities than less massive clusters. On large scales, from 20 to 200Mpc/h, the cluster peculiar velocities are increasingly dominated by bulk and random motions; they are independent of cluster mass. The cluster velocity correlation function, which reflects the bulk motion minus the relative motion of pairs, is negative on small scales for Omega=1 and Omega=0.3 CDM, and positive for PBI; this indicates stronger pairwise motion than bulk motion on small scales for CDM, and relatively larger bulk motions for PBI. The cluster velocity correlation function is positive on very large scales, from 10 to 200Mpc/h, for all models. These positive correlations, which decrease monotonically with scale, indicate significant bulk motions of clusters up to 200Mpc/h. The strong dependence of the cluster velocity functions on models, especially at small separations, makes them useful tools in constraining cosmological models when compared with observations.

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arXiv1994

Gravitational Collapse of Small-Scale Structure as the Origin of the Lyman Alpha Forest

If gravitational clustering is a hierarchical process, the present large-scale structure of the galaxy distribution implies that structures on smaller scales must have formed at high redshift. We simulate the formation of small-scale structure (average cell mass: $Δ\bar m_b=10^{4.2}$M$_\odot$) and the evolution of photoionized gas, in the specific case of a CDM model with a cosmological constant. The photoionized gas has a natural minimal scale of collapse, the Jeans scale ($m_{b,J}\simeq 10^{9}$M$_\odot$). We find that low column density ($\nhi \le 10^{14}\cm^{-2}$) lines originate in regions resembling Zel'dovich pancakes, where gas with overdensities in the range $3 - 30$ is enclosed by two shocks but is typically re-expanding at approximately the Hubble velocity. However, higher column density ($\nhi \ge 10^{15}\cm^{-2}$) lines stem from more overdense regions where the shocked gas is cooling. We show that this model can probably account for the observed number of lines, their distribution in column density and b-parameters, as well as the cloud physical sizes as observed in gravitationally lensed quasars. We find a redshift evolution that is

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arXiv1994

Probing the Large-Scale Velocity Field with Clusters of Galaxies

What is the role of clusters of galaxies in probing the large-scale velocity field of the universe? We investigate the distribution of peculiar velocities of clusters of galaxies in the popular low-density ($Ω=0.3$) flat Cold-Dark-Matter (CDM) cosmological model, which best fits many large-scale structure observations. An $Ω=1$ CDM model is also studied for comparison. We find that clusters of galaxies are efficient tracers of the large-scale velocity field. The clusters exhibit a Maxwellian distribution of peculiar velocities, as expected from Gaussian initial density fluctuations. The cluster 3-D velocity distribution for the $Ω=0.3$ model peaks at $v \sim 400$ km s$^{-1}$, and extends to high velocities of $v \sim 1200$ km s$^{-1}$. The rms peculiar velocity of the clusters is $440$ km s$^{-1}$. Approximately 10\% of all model clusters move with high peculiar velocities of $v \ge 700$ km s$^{-1}$. The observed velocity distribution of clusters of galaxies is compared with the predictions from cosmological models. The observed data exhibit a larger velocity tail than seen in the model simulations; however, due to the large observational uncertainties, the data are consistent at a $\sim 3σ$ level with the model predictions, and with a Gaussian initial density field. The large peculiar velocities reported for some clusters of galaxies ($v \geq 3000$ km s$^{-1}$) are likely to be overestimated, if the current model is viable.

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arXiv1994

Internal Velocity and Mass Distributions in Clusters of Galaxies for a Variety of Cosmogonic Models

The mass and velocity distributions in the outskirts ($0.5-3.0h^{-1}$Mpc) of clusters of galaxies are examined for a suite of cosmogonic models utilizing large-scale Particle-Mesh (PM) simulations ($500^3$ cells, $250^3$ particles and box size of $100h^{-1}$Mpc, giving a nominal resolution of $0.2h^{-1}$Mpc with the true resolution about $0.5h^{-1}$Mpc). Through a series of model computations, designed to isolate the different effects, we find that both $Ω_0$ and $P_k$ ($λ\le 16h^{-1}$Mpc) are important to the mass and velocity distributions in clusters of galaxies. More details in the full abstract.

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arXiv1994

The Motions of Clusters and Groups of Galaxies

The distributions of peculiar velocities of rich clusters and of groups of galaxies are investigated for different cosmological models and are compared with observations. Four cosmological models are studied: standard ($Ω=1$) CDM, low-density CDM, HDM ($Ω=1$), and PBI. We find that rich clusters of galaxies exhibit a Maxwellian distribution of peculiar velocities in all models, as expected from a Gaussian initial density fluctuation field. The cluster 3-D velocity distribution is generally similar in the models: it peaks at $v \sim 500$ km s$^{-1}$, and extends to high cluster velocities of $v \sim 1500$ km s$^{-1}$. Approximately 10\% of all model rich clusters move with high peculiar velocities of $v \ge 10^3$ km s$^{-1}$. The highest velocity clusters frequently originate in dense superclusters. The group velocity distribution is, in general, similar to the velocity distribution of the rich clusters. In all but the low-density CDM model, the mass exhibits a longer tail of high velocities than do the clusters. This high-velocity tail originates mostly from the high velocities that exist within rich clusters. The model velocity distributions of groups and clusters of galaxies are compared with observations. The data are generally consistent with the models, but exhibit a somewhat larger high-velocity tail, to $v_r \sim 3000$ km s$^{-1}$. While this high-velocity tail is similar to the HDM model predictions, the data are consistent with the other models studied, including the low-density CDM model, which best fits most other large-scale structure observations. The observed velocity

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arXiv1994

Hot Gas in the CDM Scenario: X-Ray Clusters from a High Resolution Numerical Simulation

We exmaine the distribution of hot gas in a standard CDM model of the universe using high resolution hydrodynamic simulations. Adopting standard parameters determined from COBE and light element nucleosynthesis, $σ_8=1.05$, $Ω_b=0.06$ and assuming $h=0.5$, we find the X-ray emitting clusters, compute the luminosity function at several wavelengths, the temperature distribution and estimated sizes as well as the evolution of these quantities with redshift. This standard CDM model, normalized to COBE, produces approximately 5 times too much emission from clusters having $L_x>10^{43}$erg/s, a not unexpected result. If all other parameters were unchanged, we would expect adequate agreement for $σ_8=0.6$. This provides a new and independent argument for lower small scale power than standard CDM at the $8h^{-1}$Mpc scale. The background radiation field at 1keV due to clusters in this model is approximately $1/3$ of the observed background which, after correction for numerical effects, again indicates approximately 5 times too much emission and the appropriateness of $σ_8=0.6$. If we had used the observed ratio of gas to total mass in clusters, rather than basing the mean density on light element nucleosynthesis, then the computed luminosity of each cluster would have increased still further, by a factor of approximately ten. Examining the ratio of gas to total mass in the clusters (which we find to be anti-biased by a factor of approximately 0.6), normalized to $Ω_b h^2=0.015$, and comparing to observations, we conclude, in agreement with S. White, that the cluster observations argue for an open universe.

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arXiv1994

X-Ray Clusters in a CDM$+Λ$ Universe: A Direct, Large-Scale, High Resolution, Hydrodynamic Simulation

A new, three-dimensional, shock capturing, TVD hydrodynamic code is utilized to determine the distribution of hot gas in a CDM$+Λ$ model universe. This open model succeeds in matching local observations of clusters in contrast to the standard $Ω=1$, CDM model, which fails. It predicts an order of magnitude decline in the number density of bright ($hν= 2-10$keV) clusters from $z=0$ to $z=2$ in contrast to a slight increase in the number density for standard $Ω=1$, CDM model. This COBE-normalized CDM$+Λ$ model produces approximately the same number of X-ray clusters having $L_x>10^{43}$erg/s as observed. The number density of bright clusters increases to $z\sim 0.2-0.5$ and declines, but the luminosity per typical cluster decreases monotonically with redshift, with the result that the number density of bright clusters shows a broad peak near $z=0.5$, and then a rapid decline as $z\rightarrow 3$. The most interesting point which we find is that the temperatures of clusters in this model freeze out at later times ($z\le 0.3$), while previously we found in the CDM model that there was a steep increase during the same interval of redshift. The trend should be detectable even with a relatively ``soft" X-ray instrument such as ROSAT, providing a powerful discriminant between $Ω=1$ and $Ω<1$ models. Examining the ratio of gas-to-total mass in the clusters, we find a slight antibias ($b=0.9$ or $({Ω_{gas}\overΩ_{tot}})_{cl} =0.083\pm 0.007$), which is consistent with observations [$({Ω_{gas}\overΩ_{tot}})_{obs}=0.097\pm 0.019$ for the Coma cluster for the given value of $h$, \cf, White 1991].

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arXiv1994

A Comparison of Cosmological Hydrodynamic Codes

We present a detailed comparison of the simulation results of various cosmological hydrodynamic codes. Starting with identical initial conditions based on the Cold Dark Matter scenario for the growth of structure, we integrate from redshift $z=20$ to $z=0$ to determine the physical state within a representative volume of size $L^3$ where $L=64 h^{-1} {\rm Mpc}$. Five independent codes are compared: three of them Eulerian mesh based and two variants of the Smooth Particle Hydrodynamics "SPH" Lagrangian approach. The Eulerian codes were run at $N^3=(32^3,~64^3,~128^3,~{\rm and},~256^3)$ cells, the SPH codes at $N^3= 32^3$ and $64^3$ particles. Results were then rebinned to a $16^3$ grid with the expectation that the rebinned data should converge, by all techniques, to a common and correct result as $N \rightarrow \infty$. We find that global averages of various physical quantities do, as expected, tend to converge in the rebinned model, but that uncertainties in even primitive quantities such as $\langle T \rangle$, $\langle ρ^2\rangle^{1/2}$ persists at the 3\%-17\% level after completion of very large simulations. The two SPH codes and the two shock capturing Eulerian codes achieve comparable and satisfactory accuracy for comparable computer time in their treatment of the high density, high temperature regions as measured in the rebinned data; the variance among the five codes (at highest resolution) for the mean temperature (as weighted by $ρ^2$) is only 4.5\%. Overall the comparison allows us to better estimate errors, it points to ways of improving this current generation of hydrodynamic codes and of suiting their use to problems which exploit their individually best features.

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arXiv1994

A Hydrodynamic Approach to Cosmology: The Mixed Dark Matter Cosmological Scenario

We compute the evolution of spatially flat, mixed cold and hot dark matter (``MDM") models containing both baryonic matter and two kinds of dark matter. The mean final Zeldovich-Sunyaev $y$ parameter is estimated to be $\bar y=(5.4\pm 2.7)\times 10^{-7}$, with a rms fluctuation of approximately $\bar{δy}=(6.0\pm 3.0)\times 10^{-7}$ on arc minute scales. The rate of galaxy formation peaks at an even later epoch ($z\sim 0.3$) than in the standard ($Ω=1$, $σ_8=0.67$) CDM model ($z\sim 0.5$) and, at a redshift of z=4 is nearly a factor of a hundred lower than for the CDM model with the same value of $σ_8$. The model yields a cluster mass function which is about a factor of 4 higher than observed but a cluster-cluster correlation length lower by a factor of 2 than what is observed but both are closer to observations than in the COBE normalized CDM model. The one dimensional pairwise velocity dispersion is $605\pm 8$km/s at $1h^{-1}$ separation, lower than that of the CDM model normalized to COBE, but still significantly higher than observations (Davis \& Peebles 1983). A plausible velocity bias $b_v=0.8\pm 0.1$ on this scale will reduce but not remove the discrepancy. Overall, the model is similar both on large and intermediate scales to the standard CDM model normalized to the same value of $σ_8$, but the problem with regard to late formation of galaxies is more severe in this model than in that CDM model. Adding hot dark matter significantly improves the ability of COBE normalized CDM scenario to fit existing observations, but the model is in fact not as good as the CDM model with the same $σ_8$ and is still probably unsatisfactory with regard to several critical tests.

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arXiv1994

The Correlation Function of Flux-Limited X-Ray Clusters

We show that the spatial correlation function of a flux-limited sample of X-ray selected clusters of galaxies will exhibit a correlation scale that is smaller than the correlation scale of a volume-limited, richness-limited sample of comparable apparent spatial density. The flux-limited sample contains clusters of different richnesses at different distances: poor groups are found nearby and rich clusters at greater distances. Since the cluster correlation strength is known to increase with richness, the flux-limited sample averages over the correlations of poor and rich clusters. On the other hand, a volume-limited, richness-limited sample has a minimum richness threshold, and a constant mixture of richnesses with redshift. Using the observed correlation scale for rich ($R\ge 1$) clusters, $r_o (R\ge 1) = 21\pm 2 h^{-1}$Mpc that was determined from previous volume-limited studies, we derive for the ROSAT flux-limited X-ray cluster sample $r_o({\rm flux}{\rm -}{\rm limited}) \approx 14h^{-1}$Mpc, in agreement with the recently observed value of $13.7\pm 2.3 h^{-1}$Mpc.

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arXiv1993

Confrontation of the Lauer and Postman Cluster Velocity Field with Models

The large-scale bulk flow implied by the measurements of distances to brightest cluster members within 15,000 km/s by Lauer and Postman has the potential to put strong constraints on, or to even rule out, various models of large-scale structure. Using PM simulations 400$h^{-1}$ Mpc on a side of five cosmological models (Standard CDM, Tilted CDM, HDM, $Ω= 0.3$ CDM, and PBI), we present detailed Monte-Carlo simulations of the peculiar velocity data, which we use to assess the probability that any given model can explain the data. These models are ruled out at confidence levels ranging from 94\% (HDM) to 97\% (PBI). However, these results may be affected by the finite size of the simulation volume. If the observed bulk flow remains unchanged when calculated using a refined distance indicator with smaller scatter, all these models will be ruled out at high confidence levels.

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