arXiv subjects

Joseph J. Mohr

Publications and source records attributed to Joseph J. Mohr.

51 records · Page 3Linked to original sources

arXiv2002

Cosmological Implications of the BIMA 30 Ghz Sunyaev-Zel'dovich Effect Galaxy Cluster Survey

We explore the cosmological implications of 7 deep survey fields observed at the Berkeley-Illinois-Maryland Association (BIMA) Array with 30 GHz receivers. These observations probe the Cosmic Microwave Background anisotropy on scales corresponding to l=5500, and an earlier analysis of these data detected no galaxy clusters. We use numerical cluster simulations and mock observations to characterize the cluster detection efficiency for each of the BIMA fields. With these detection efficiencies we derive constraints on the cosmological parmaters OmegaM and sigma8, ruling out those models which overproduce galaxy clusters. Using only these seven BIMA fields, we calculate a 2sigma upper limit of sigma8 < 1.00OmegaM**(-0.43OmegaM-0.22) for flat models with 0.1<OmegaM<1. When the power spectrum of density fluctuations is COBE normalized, we find OmegaM < 0.63 at 95% confidence level for flat models. This constraint includes our estimate of the large uncertainties in the SZE flux-virial mass relationship as well as published uncertainties in the Hubble parameter, the COBE power spectrum normalization and the primordial power spectrum index. In addition, we account for the effects of sample variance. Thus, we conclude that the non-detections are to be expected in a low OmegaM universe, given the sensitivity and solid angle of the deepest SZE survey to date.

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arXiv2002

A Cold Front in a Preheated Galaxy Cluster

We present a simulated cluster of galaxies, modeled with a pre-heated intracluster medium, that exhibits X-ray features similar to the `cold fronts' seen in Chandra observations. Mock observations at a particular epoch show factor two discontinuities in X-ray temperature and factor four in surface brightness on a spatial scale <= 100 kpc. Analysis of the cluster's dynamical history reveals that the front is a transient contact discontinuity created by an ongoing merger of two roughly equal mass subgroups. The cold front feature in this realization is amplified by the adiabatic expansion of one of the subgroups following its ablation from the center of its local dark matter potential. The presence of cold front features in a cluster modeled without radiative cooling or magnetic fields implies that such relatively complex physics is not a necessary element of the phenomenon and suggests that the prevalence of such features in high resolution X-ray images of clusters may simply reflect the high frequency of ongoing mergers driven by gravity and comparatively simple hydrodynamics.

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arXiv2001

Studies of Structure Formation and Cosmology with Galaxy Cluster Surveys

Surveys of galaxy clusters provide a promising method of testing models of structure formation in the universe. Within the context of our standard structure formation scenario, surveys provide measurements of the geometry of the universe and the nature of the dark energy and dark matter. Cluster catalogues will be constructed using some combination of X-ray, optical/near--IR, and mm or cm-wave observations. These catalogues will be used to study the cluster redshift and mass distributions along with the correlations of the cluster spatial distribution. These measurements probe the volume--redshift relation, the power spectrum of density fluctuations and the evolution of galaxy cluster abundance. All are sensitive to the amount of dark matter Omega_M, the amount of dark energy Omega_E, the equation of state of the dark energy w(z) and any other parameter, which affects the expansion history of the universe.

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arXiv2001

On Galaxy-Cluster Sizes and Temperatures

We show that the distribution of the sizes and temperatures of clusters can be used to constrain cosmological models. The size-temperature (ST) distribution predicted in a flat Gaussian cluster-abundance-normalized Omega_0=0.3 model agrees well with the fairly tight ST relation observed. A larger power-spectrum amplitude sigma_8 would give rise to a larger scatter about the ST relation as would a larger value of Omega_0 and/or long non-Gaussian high-density tails in the probability density function. For Gaussian initial conditions, the ST distribution suggests a constraint sigma_8 Omega_0^{0.26} \simeq 0.76. The ST relation is expected to get tighter at high redshifts. In the process, we derive a simple formula for the halo formation-redshift distribution for non-Gaussian models. We also suggest that the discrepancy between the naive zero-redshift ST relation and that observed may be due, at least in part, to the fact that lower-mass clusters form over a wider range of redshifts. An Appendix derives an equation for the formation-redshift distribution of halos.

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arXiv2001

Clusters in the Precision Cosmology Era

Over the coming decade, the observational samples available for studies of cluster abundance evolution will increase from tens to hundreds, or possibly to thousands, of clusters. Here we assess the power of future surveys to determine cosmological parameters. We quantify the statistical differences among cosmologies, including the effects of the cosmic equation of state parameter w, in mock cluster catalogs simulating a 12 sq. deg Sunyaev-Zeldovich Effect survey and a deep 10^4 sq. deg X-ray survey. The constraints from clusters are complementary to those from studies of high-redshift Supernovae (SNe), CMB anisotropies, or counts of high-redshift galaxies. Our results indicate that a statistical uncertainty of a few percent on both Omega_m and w can be reached when cluster surveys are used in combination with any of these other datasets.

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arXiv2001

Effects of Preheating on X-ray Scaling Relations in Galaxy Clusters

The failure of purely gravitational models of X-ray cluster formation to reproduce basic observed properties of the local cluster population suggests the need for one or more additional physical processes operating on the intracluster medium (ICM). We present results from 84 moderate resolution gas dynamic simulations designed to systematically investigate the effects of preheating - an initially elevated ICM adiabat - on the resultant, local X-ray size-temperature, luminosity-temperature and ICM mass-temperature relations. Seven sets of twelve simulations are performed for a LambdaCDM cosmology, each set characterized by a different initial entropy level S_i. The slopes of the observable relations steepen monotonically as S_i is increased. Observed slopes for all three relations are reproduced by models with S_i: 55-150 keV cm^2, levels that compare favorably to empirical determinations of core ICM entropy by Lloyd-Davies, Ponman & Cannon. The redshift evolution for the case of a locally successful model with S_i = 106 keV cm^2 is presented. At temperatures kT > 3 keV, little or no evolution in physical isophotal sizes or bolometric luminosities is expected to z < 1. The ICM mass at fixed T is lower at higher z as expected in the canonical evolution model. ICM mass fractions show a mild T dependence. Clusters with T > 3 keV contain ICM mass fractions depressed by modest amounts (< 25%) below the cosmic mean baryon fraction Omega_b/Omega_m; hot clusters subject to preheating remain good tracers of the cosmic mix of clustered mass components.

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arXiv2000

Expectations For an Interferometric Sunyaev-Zel'dovich Effect Survey for Galaxy Clusters

Non-targeted surveys for galaxy clusters using the Sunyaev-Zel'dovich effect (SZE) will yield valuable information on both cosmology and evolution of the intra-cluster medium (ICM). The redshift distribution of detected clusters will constrain cosmology, while the properties of the discovered clusters will be important for studies of the ICM and galaxy formation. Estimating survey yields requires a detailed model for both cluster properties and the survey strategy. We address this by making mock observations of galaxy clusters in cosmological hydrodynamical simulations. The mock observatory consists of an interferometric array of ten 2.5 m diameter telescopes, operating at a central frequency of 30 GHz with a bandwidth of 8 GHz. We find that clusters with a mass above $2.5 \times 10^{14} h_{50}^{-1} M_\odot$ will be detected at any redshift, with the exact limit showing a very modest redshift dependence. Using a Press-Schechter prescription for evolving the number densities of clusters with redshift, we determine that such a survey should find hundreds of galaxy clusters per year, many at high redshifts and relatively low mass -- an important regime uniquely accessible to SZE surveys. Currently favored cosmological models predict roughly 25 clusters per square degree.

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arXiv2000

Galaxy Cluster Gas Mass Fractions from Sunyaev-Zel'dovich Effect Measurements: Constraints on Omega_M

Using sensitive centimeter-wave receivers mounted on the Owens Valley Radio Observatory and Berkeley-Illinois-Maryland-Association millimeter arrays, we have obtained interferometric measurements of the Sunyaev-Zel'dovich (SZ) effect toward massive galaxy clusters. We use the SZ data to determine the pressure distribution of the cluster gas and, in combination with published X-ray temperatures, to infer the gas mass and total gravitational mass of 18 clusters. The gas mass fraction, f_g, is calculated for each cluster, and is extrapolated to the fiducial radius r_{500} using the results of numerical simulations. The mean f_g within r_{500} is 0.081+0.009 -0.011/(h_{100} (statistical uncertainty at 68% confidence level, assuming OmegaM=0.3, OmegaL=0.7). We discuss possible sources of systematic errors in the mean f_g measurement. We derive an upper limit for OmegaM from this sample under the assumption that the mass composition of clusters within r_{500} reflects the universal mass composition: Omega_M h < Omega_B/f_g. The gas mass fractions depend on cosmology through the angular diameter distance and the r_{500} correction factors. For a flat universe (OmegaL = 1 - OmegaM) and h=0.7, we find the measured gas mass fractions are consistent with Omegam less than 0.40, at 68% confidence. Including estimates of the baryons contained in galaxies and the baryons which failed to become bound during the cluster formation process, we find OmegaM \~0.25.

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arXiv2000

Constraints on Cosmological Parameters from Future Galaxy Cluster Surveys

We study the expected redshift evolution of galaxy cluster abundance between 0 < z < 3 in different cosmologies, including the effects of the cosmic equation of state parameter w=p/rho. Using the halo mass function obtained in recent large scale numerical simulations, we model the expected cluster yields in a 12 deg^2 Sunyaev-Zeldovich Effect (SZE) survey and a deep 10^4 deg^2 X-ray survey over a wide range of cosmological parameters. We quantify the statistical differences among cosmologies using both the total number and redshift distribution of clusters. Provided that the local cluster abundance is known to a few percent accuracy, we find only mild degeneracies between w and either Omega_m or h. As a result, both surveys will provide improved constraints on Omega_m and w. The Omega_m-w degeneracy from both surveys is complementary to those found either in studies of CMB anisotropies or of high-redshift Supernovae (SNe). As a result, combining these surveys together with either CMB or SNe studies can reduce the statistical uncertainty on both w and Omega_m to levels below what could be obtained by combining only the latter two data sets. Our results indicate a formal statistical uncertainty of about 3% (68% confidence) on both Omega_m and w when the SZE survey is combined with either the CMB or SN data; the large number of clusters in the X-ray survey further suppresses the degeneracy between w and both Omega_m and h. Systematics and internal evolution of cluster structure at the present pose uncertainties above these levels. We briefly discuss and quantify the relevant systematic errors. By focusing on clusters with measured temperatures in the X-ray survey, we reduce our sensitivity to systematics such as non-standard evolution of internal cluster structure.

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arXiv2000

The X-ray Size-Temperature Relation for Intermediate Redshift Galaxy Clusters

We present the first measurements of the X-ray size-temperature (ST) relation in intermediate redshift (z~0.30) galaxy clusters. We interpret the local ST relation (z~0.06) in terms of underlying scaling relations in the cluster dark matter properties, and then we use standard models for the redshift evolution of those dark matter properties to show that the ST relation does not evolve with redshift. We then use ROSAT HRI observations of 11 clusters to examine the intermediate redshift ST relation; for currently favored cosmological parameters, the intermediate redshift ST relation is consistent with that of local clusters. Finally, we use the ST relation and our evolution model to measure angular diameter distances; with these 11 distances we evaluate constraints on Omega_M and Omega_L which are consistent with those derived from studies of Type Ia supernovae. The data rule out a model with Omega_M=1 and Omega_L=0 with 2.5 sigma confidence. When limited to models where Omega_M+Omega_L=1, these data are inconsistent with Omega_M=1 with 3 sigma confidence.

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arXiv2000

Galaxy Cluster Baryon Fractions, Cluster Surveys and Cosmology

The properties of nearby galaxy clusters limit the range of cosmological parameters consistent with our universe. We describe the limits which arise from studies of the intracluster medium (ICM) mass fraction fICM and consideration of the possible sources of systematic error: Omega_M<0.44h_{50}^{-1/2} at 95% confidence. We emphasize that independent of Type Ia supernovae (SNe Ia) observations, this cluster study, taken together with published cosmic microwave background (CMB) anisotropy studies, indicates a non-zero quintessence or dark energy component Omega_Q>0. We then discuss future galaxy cluster surveys which will probe the abundance of galaxy clusters to intermediate and high redshift. We investigate the sensitivity of these surveys to the cosmological density parameter Omega_M and the equation of state parameter w of any quintessence component. In particular, we show that cluster survey constraints from a proposed large solid angle X-ray survey are comparable in precision and complementary in nature to constraints expected from future CMB anisotropy and SNe Ia studies.

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arXiv1998

A Photometric and Kinematic Study of AWM 7

We have measured redshifts and Kron-Cousins R-band magnitudes for a sample of galaxies in the poor cluster AWM 7. We have measured redshifts for 172 galaxies; 106 of these are cluster members. We determine the luminosity function from a photometric survey of the central 1.2 h^{-1} x 1.2 h^{-1} Mpc. The LF has a bump at the bright end and a faint-end slope of α= -1.37+-0.16, populated almost exclusively by absorption-line galaxies. The cluster velocity dispersion is lower in the core (\sim 530 km/s) than at the outskirts (\sim 680 km/s), consistent with the cooling flow seen in the X-ray. The cold core extends \sim 150 h^{-1} kpc from the cluster center. The Kron-Cousins R-band mass-to-light ratio of the system is 650+-170 h M_\odot/L_\odot, substantially lower than previous optical determinations, but consistent with most previous X-ray determinations. We adopt H_0 = 100 h km/s/Mpc throughout this paper; at the mean cluster redshift, (5247+-76 km/s), 1 h^{-1} Mpc subtends 65$\farcm$5.

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arXiv1997

Simulations and Measurements of the Background Encountered by a High-Altitude Balloon-Borne Experiment for Hard X-ray Astronomy

We have modelled the hard X-ray background expected for a high-altitude balloon flight of the Energetic X-ray Telescope Experiment (EXITE2), an imaging phoswich detector/telescope for the 20--600 keV energy range. Photon and neutron-induced contributions to the background are considered. We describe the code and the results of a series of simulations with different shielding configurations. The simulated hard X-ray background for the actual flight configuration agrees reasonably well (within a factor of $\sim$ 2) with the results measured on the first flight of EXITE2 from Palestine, Texas. The measured background flux at 100 keV is $\sim$ 4 $\times$ 10$^{-4}$ counts cm$^{-2}$ s$^{-1}$ keV$^{-1}$.

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arXiv1997

An X-ray Size-Temperature Relation for Galaxy Clusters: Observation and Simulation

We show that galaxy clusters conform to a tight relation between X-ray isophotal size R_I and emission weighted intracluster medium (ICM) temperature T_X. The best fit relation for 41 members of an X-ray flux limited cluster sample is: $log{R_I}= (0.93\pm0.11) log{( /6 keV)} -\ (0.08\pm0.01)$; intrinsic scatter in size about the relation is 15%, and for 30 clusters with T_X>4 keV the scatter is reduced to 10%. The existence of the size-temperature (ST) relation indicates the ICM structure is a well behaved function of T_X. We use an ensemble of gasdynamic simulations to demonstrate that a cluster population experiencing present epoch growth nonetheless conforms to an ST relation with scatter similar to that observed; the simulations also exhibit a tight relation between M_{vir} and T_X, providing the suggestion that a similar relation holds for observed clusters. We use the scatter in R_I to estimate limits on the RMS variation in ICM mass fraction δf_{ICM} at constant T_X: δf/f_{ICM}<22% (<14% for clusters with T_X>4 keV). It appears that a mechanism like feedback from galaxy winds, which introduces systematic structural changes in the ICM, is required to reproduce the observed slope of the ST relation.

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arXiv1997

Using the Fundamental Plane to Estimate the Total Binding Mass in A2626

We use fundamental plane (FP) distance estimates to the components of the double cluster A2626 (cz~17,500 km/s) to constrain cluster kinematics and estimate total binding mass. The FP coefficients for a sample of 24 early type and S0 cluster members (alpha=1.30+/-0.36 and beta=0.31+/-0.06) are consistent with others reported in the literature. We examine the Mg_b distributions within both subclusters and find them to be indistinguishable. Lacking evidence for stellar population differences, we interpret the FP zeropoint offset (\log(D_B/D_A)=-0.037+/-0.046, where D_{cl} is distance to subcluster cl) as a measure of the distance difference. This measurement is consistent with the subclusters being at the same distance, and it rules out the Hubble flow hypothesis (distances proportional to velocity) with 99% confidence; analysis of the subcluster galaxy magnitude distributions rules out Hubble flow at 93% confidence. Both results favor a kinematic model where the subclusters are bound and infalling. We estimate the total cluster binding mass by modelling the subcluster merger as radial infall. The minimum possible total binding mass is 1.65 times higher than the sum of the standard virial masses, a difference statistically significant at the ~3sigma level. We discuss explanations for the inconsistency including (1) biases in the standard virial mass estimator, (2) biases in our radial infall mass estimate, and (3) mass beyond the virialized cluster region; if the standard virial mass is significantly in error, the cluster has an unusually high mass to light ratio (~1000h). Because observational signatures of departures from radial infall are absent, we explore the implications of mass beyond the virialized, core regions. (abridged)

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