arXiv subjects

William G. Mathews

Publications and source records attributed to William G. Mathews.

At least 73 records · Page 4Linked to original sources

arXiv2003

Rapid Cooling of Dusty Gas in Elliptical Galaxies

We propose a stellar origin for the central dust clouds observed in most giant elliptical galaxies. Dusty gas ejected from evolving red giant stars in E or cD galaxies can cool rapidly even after entering the hot, X-ray emitting gas. Cooling by thermal collisions with dust grains can be faster than either the dynamical time in the galactic potential or the grain sputtering time. Some grains survive in the cooled gas. Dusty stellar outflows cool more efficiently in the central regions where the stellar metallicity is higher. Mergers with gas and dust-rich dwarf galaxies may occasionally occur but are not required to explain the observed dust clouds.

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arXiv2003

XMM-Newton and Chandra Observations of the Galaxy Group NGC 5044. I. Evidence for Limited Multi-Phase Hot Gas

Using new XMM and Chandra observations we present an analysis of the temperature structure of the hot gas within a radius of 100 kpc of the bright nearby galaxy group NGC 5044. A spectral deprojection analysis of data extracted from circular annuli reveals that a two-temperature model (2T) of the hot gas is favored over single-phase or cooling flow (M_dot = 4.5 +/- 0.2 M_{sun}/yr) models within the central ~30 kpc. Alternatively, the data can be fit equally well if the temperature within each spherical shell varies continuously from ~T_h to T_c ~ T_h/2, but no lower. The high spatial resolution of the Chandra data allows us to determine that the temperature excursion T_h --> T_c required in each shell exceeds the temperature range between the boundaries of the same shell in the best-fitting single-phase model. This is strong evidence for a multi-phase gas having a limited temperature range. The cooler component of the 2T model has a temperature (T_c \~ 0.7 keV) similar to the kinetic temperature of the stars. The hot phase has a temperature (T_h ~ 1.4 keV) characteristic of the virial temperature of the \~10^{13} M_{sun} halo expected in the NGC 5044 group. However, in view of the morphological disturbances and X-ray holes visible in the Chandra image within R ~10 kpc, bubbles of gas heated to ~T_h in this region may be formed by intermittent AGN feedback. Some additional heating at larger radii may be associated with the evolution of the cold front near R ~50 kpc, as suggested by the sharp edge in the EPIC images.

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arXiv2003

Dust in Hot Gas: Far Infrared Emission from Three Local Elliptical Galaxies

We present far-IR ISO observations of three early-type galaxies in the Virgo cluster. The data were recorded using the ISOPHOT instrument in both the P32 oversampled maps and the P39/37 sparse maps. The maps reach the limiting sensitivity of the ISOPHOT instrument at 60, 90, and 180$μ$m. Two of the most prominent elliptical galaxies in Virgo -- NGC 4472 and NGC 4649 -- clearly show no emission at far-IR wavelengths at a level of few tens of mJy, but NGC 4636 is detected at all three wavelengths. We have computed the far-IR emission from dust for NGC4472 and NGC4636 under the assumption that dusty outflows from evolving red giant stars are continuously supplying dust to the interstellar medium and that the grains, once diffused into the interstellar medium, are sputtered away by collisions with ions. While the calculated fluxes are consistent with the observed upper limits for NGC4472, the dust emission detected in NGC4636 support the hypothesis that additional dust has been accreted in a very recent ($\lta$ few $10^8$ yrs) merger with a dusty, gas-rich galaxy.

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arXiv2003

Feedback Heating in Cluster and Galactic Cooling Flows

Cluster cooling flow models that include both thermal conduction and AGN heating have lower overall mass cooling rates and simultaneously sustain density and temperature profiles similar to those observed with no ad hoc mass dropout. To achieve this agreement, the thermal conductivity must be about 0.35 +/- 0.10 of the Spitzer value, similar to that advocated by Narayan & Medvedev. However, when applied to galaxy/group scales the synergistic combination of AGN heating and conduction is less satisfactory. When the computed density profile and the global cooling rate are lowered by AGN heating to match observations of these smaller scale flows, the gas temperatures within about 10 kpc are too large. In addition, best-fitting flows in galaxy/groups with AGN heating and thermal conduction require larger conductivities, about 0.5 - 1.0 of the Spitzer value. When the gas density in galaxy/group flows is lowered by heating, the iron enrichment by Type Ia supernovae is more effective and the hot gas iron abundance greatly exceeds observed values. Consequently, galactic/group flows with central heating and conduction require an additional process that removes the iron: failure of Type Ia ejecta to go into the hot phase, selective cooling, etc.

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arXiv2002

Creation of X-ray Holes with Cool Rims in Cooling Flows

The density irregularities and holes visible in many Chandra X-ray images of cluster and galactic cooling flows can be produced by symmetrically heated gas near the central galactic black hole. As the heated gas rises away from the galactic center, a relatively small number of large plumes and bubbles are formed in qualitative agreement with the observed features. The expanding centrally heated gas drives a shock into the surrounding gas, displacing it radially. Both computational and analytic results show that the ambient gas near the bubble is cooled by expansion, accounting for the cool rims commonly observed around X-ray holes in cooling flows.

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arXiv2002

Heated Cooling Flows

In conventional models of galactic and cluster cooling flows widespread cooling (mass dropout) is assumed to avoid accumulation of unacceptably large central masses. However, recent XMM observations have failed to find spectral evidence for locally cooling gas. This has revived the notion that cooling flows are heated by some process such as an intermittent, low-level AGN involving supermassive black holes in the central galaxy. To explore this hypothesis, we consider the gasdynamical consequences of galactic cooling flows heated by many different scenarios without specifying the detailed physics of the heating process. We are unable to find a single acceptable heated flow in reasonable agreement with well observed hot gas temperature and density profiles, even using finely tuned parameters. Idealized flows in which radiative cooling is perfectly balanced by global heating are grossly incompatible with observations. Flows heated by episodic central feedback generate quasi-cyclic changes in the hot gas density profile which are not supported by current observations. Paradoxically, centrally heated (or pressurized) cooling flows experience spontaneous non-linear compressions that result in spatially widespread cooling instabilities. Therefore, spectral evidence for cooling gas is difficult to avoid by central heating.

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arXiv2001

Confrontation of Intracluster and Interstellar Gas in Cluster-Centered Elliptical Galaxies: M87 in Virgo and NGC 4874 in Coma

X-ray observations of M87 in the Virgo cluster and NGC 4874 in Coma reveal that the gas temperature beyond about 50 kpc from these cD galaxies is comparable to the virial temperature of the cluster, 3 or 9 keV respectively, but within the optical galaxy the temperature drops to the galactic virial temperature, about 1 keV. We show that these steep thermal (and density) gradients follow naturally from the usual cooling inflow assumptions without recourse to thermal conductivity. To avoid unobserved central mass concentrations, most of the gas must radiatively cool (``dropout'') before it flows to the galactic core, i.e. the gas must be multiphase. Recent XMM spectra of M87 indicate single phase flow at every radius with no apparent radiative cooling to low temperatures. However, the X-ray spectral evidence for multiphase cooling beginning at lower temperatures near 1 keV (within about 10 kpc) may be less apparent and may have escaped detection. Finally, we show that the standard decomposition method used by X-ray observers to determine the mass flow dM/dt(r) may fail rather badly due to small deviations from perfectly steady state flow. When applied to our slightly non-steady computed flows, this decomposition (incorrectly) gives the usual result, dM/dt proportional to r, and overestimates the mass dropout dM/dt(r) at large radii.

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arXiv2001

Heating of Gas in Galaxy Groups and Clusters

Was the diffuse gas in galaxy groups and clusters heated at high redshift before it entered a massive halo, or was the heating produced inside collapsed objects by SNII accompanying normal star formation? We compare here two radically different models corresponding to the two scenarios described above. Our results indicate that internal heating by SNII works better than the extreme version of external heating that we adopt in reproducing the observed L-T and entropy-T relations.

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arXiv2001

Spatial Diffusion of X-ray Emission Lines in the M87 Cooling Flow; Evidence for Absorption

Recent XMM-Newton observations of the cooling flow gas in M87 indicate sharply decreasing oxygen, iron and silicon abundances within $\sim 5$ kpc of the galactic center. This result is unexpected since stellar mass loss and Type Ia supernovae are expected to produce pronounced central abundance maxima for all three elements. However, it has been suggested that many of the strong X-ray lines are optically thick and diffuse to larger radii in the cooling flow before escaping, falsifying the central abundances. We verify with radiation transfer calculations that this effect does indeed occur in the M87 cooling flow, but that it is insufficient to account for the M87 observations. We suggest that some source of continuous opacity is required to reduce the central X-ray line emission, perhaps by warm gas at $T \sim 10^5 - 10^6$ K. The radial surface brightness profiles of X-ray resonance lines are also sensitive to turbulence in cooling flows which reduces the line center optical depths considerably. Turbulence may provide sufficient energy to continuously heat the warm absorbing gas.

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arXiv2001

Entropy Evolution in Galaxy Groups and Clusters; A Comparison of External and Internal Heating

X-ray observations of hot gas in galaxy groups indicate higher entropies than can be achieved in the accretion shocks as it fell into the dark halos. It has been proposed that this entropy excess results from some universal external heating process in the early universe - AGN, population III stars, etc. - that occurred before most of the gas entered the dark halos. Alternatively, the hot gas in groups may be heated internally by Type II supernovae when the galactic stars formed. We investigate here the gas-dynamical consequences of various amounts of external, high redshift heating and compare with internal supernova heating. Radiative losses and distributed mass dropout are included. We find that externally heated flows are unsatisfactory; when the heating is high enough to bring the X-ray luminosities into agreement with observations, the gas entropy is too high. Flows internally heated by Type II supernovae are preferred. Our results are insensitive to the epoch and spatial distribution of the supernova heating process. However, with a Salpeter IMF a large fraction of the energy produced by supernovae must heat the hot gas. Alternatively, only about 20 percent of the Type II supernova energy would be required to heat the gas if the initial mass function is flatter than Salpeter, as suggested by stellar mass to light ratios.

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arXiv2000

Evolution of Gas in Elliptical Galaxies

We review the origin and structure of hot (cooling flow) gas in elliptical galaxies. X-ray observations can be used to determine the stellar mass to light ratio, the mass profiles of dark matter halos, and the interstellar magnetic field. Interstellar gas cools over a large volume, forming stars with a bottom-heavy IMF. For consistency with the thin fundamental plane, young stars must be optically luminous. Circular X-ray isophotes in rotating elliptical galaxies indicate distributed radiative cooling or strong interstellar turbulence.

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arXiv2000

Influence of Cooled Interstellar Gas on the Fundamental Plane for Elliptical Galaxies

We explore the possibly important influence of cooled interstellar gas on the fundamental plane of elliptical galaxies. Interstellar cooling is described by a parameterized sink term in the equation of continuity. Parameters that give the best fits to the X-ray observations of NGC 4472 are used as a template for the radial distribution of interstellar cooling in structurally homologous elliptical galaxies of lower mass. Gas that cools within an effective radius can contribute an additional 10 - 30 percent to the mass of the old stellar population. If the cooled gas forms into stars of very low mass, $\ll M_{\odot}$, as is commonly assumed, the cooled mass is optically dark. As a result, the mass to light ratios determined from stellar velocities systematically overestimate that of the old stellar population. Moreover, the total mass and spatial distribution of the optically dark young stellar population does not scale homologously with galactic luminosity or radius and the total stellar mass to light ratio varies with galactic radius. We investigate the non-homologous perturbations of cooled gas on the mass to light ratio for several idealized homologous elliptical galaxies and show that they appear to be incompatible with the observed thinness of the fundamental plane. If optically luminous young stars formed from the cooled gas, the disturbance of the fundamental plane would be lessened.

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arXiv2000

Why Are Rotating Elliptical Galaxies Less Elliptical at X-ray Frequencies?

If mass and angular momentum were conserved in cooling flows associated with luminous, slowly rotating elliptical galaxies, the inflowing hot gas would spin up, resulting in disks of cold gas and X-ray images that are highly flattened along the equatorial plane out to several effective radii. Such X-ray flattening is not observed at the spatial resolution currently available to X-ray observations. Evidently mass and angular momentum are not in fact conserved. If cooling flows are depleted by localized radiative cooling at numerous sites distributed throughout the flows, then disks of cooled gas do not form and the X-ray images appear nearly circular. However, the distribution of young stars formed from the cooled gas is still somewhat flattened relative to the stellar light. X-ray images of galactic cooling flows can also be circularized by the turbulent diffusion of angular momentum away from the axis of rotation, but the effective viscosity of known processes -- stellar mass loss, supernovae, cooling site evolution, etc. -- is insufficient to appreciably circularize the X-ray images. Radial gradients in the interstellar iron abundance are unaffected by the expected level of interstellar turbulence since these gradients are continuously re-established by Type Ia supernovae.

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arXiv2000

Where Do Cooling Flows Cool?

Although only about 5 percent of the total baryonic mass in luminous elliptical galaxies is in the form of cooled interstellar gas, it is concentrated within the optical effective radius r_e where it influences the local dynamical mass. The mass of cooled gas must be spatially distributed since it greatly exceeds the masses of central black holes. We explore here the proposition that a population of low mass, optically dark stars is created from the cooled gas. We consider a wide variety of radial distributions for the interstellar cooling, but only a few are consistent with observed X-ray surface brightness profiles. In a region of concentrated interstellar cooling, the X-ray emission can exceed that observed, suggesting the presence of additional support by magnetic stresses or non-thermal pressure. In general we find that the mass of cooled gas contributes significantly to stellar dynamical mass to light ratios which vary with galactic radius. If the stars formed from cooled interstellar gas are optically luminous, their influence on the the mass to light ratio would be reduced. The mass of cooled gas inside r_e is sensitive to the rate that old stars lose mass, which is nearly independent of the initial mass function of the old stellar population.

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arXiv1999

Chandra Detection of Massive Black Holes in Galactic Cooling Flows

Anticipating forthcoming observations with the Chandra X-ray telescope, we describe the continuation of interstellar cooling flows deep into the cores of elliptical galaxies. Interstellar gas within about r = 50 parsecs from the massive black hole is heated to T > 1 keV and should be visible unless thermal heating is diluted by non-thermal pressure. Since our flows are subsonic near the massive black holes, distributed cooling continues within 300 pc from the center. Dark, low mass stars formed in this region may be responsible for some of the mass attributed to central black holes.

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arXiv1999

Cooling Flow Star Formation and the Apparent Stellar Ages of Elliptical Galaxies

Observational constraints and theoretical arguments indicate that cooled interstellar gas in bright elliptical galaxies forms into a young stellar population throughout the region within the half-light radius. The young population has a bottom-heavy, but optically luminous IMF extending to 1 - 2 M_sun. When the colors and spectral features of this young population are combined with those of the underlying old stellar population, the apparent ages are significantly reduced, similar to the relatively young apparent ages observed in many ellipticals. Galactic mergers are not required to resupply young stars. The sensitivity of continuous star formation to L_B and L_x/L_B is likely to account for the observed spread in apparent ages among elliptical galaxies. Local star formation is accompanied by enhanced stellar H_beta equivalent widths, stronger optical emission lines, enhanced thermal X-ray emission and lower apparent temperatures in the hot gas. The young stars should cause M/L to vary with galactic radius, perturbing the fundamental plane occupied by the old stars.

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arXiv1999

Formation of Low Mass Stars in Elliptical Galaxy Cooling Flows

X-ray emission from hot (T = 10^7 K) interstellar gas in massive elliptical galaxies indicates that 10^{10} M_sun has cooled over a Hubble time, but optical and radio evidence for this cold gas is lacking. We provide detailed theoretical support for the hypothesis that this gas has formed into low luminosity stars. Within several kpc of the galactic center, interstellar gas first cools to T = 10^4 K where it is heated by stellar UV and emits the observed diffuse optical line emission. This cooling occurs at a large number (10^6) of isolated sites. After less than a solar mass of gas has accumulated (10^{-6} M_sun/yr) at a typical cooling site, a neutral (HI or H_2) core develops in the HII cloud where gas temperatures drop to T = 15 K and the ionization level (from thermal X-rays) is very low (x = 10^{-6}). We show that the maximum mass of cores that become gravitationally unstable is only about 2 M_sun. No star can exceed this mass. Fragmentation of collapsing cores produces a population of low mass stars with a bottom-heavy IMF and radial orbits. Gravitational collapse and ambipolar diffusion are rapid. The total mass of star-forming (dust-free) HI or H_2 cores in a typical bright elliptical is only 10^6 M_sun, below current observational thresholds.

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arXiv1998

A Comparison of Metal Enrichment Histories in Rich Clusters and Individual Luminous Elliptical Galaxies

Hot, X-ray emitting gaseous halos around massive elliptical galaxies are a result of both stellar mass loss and inflow toward the overdensity from which giant ellipticals and their associated galaxy groups formed. The metal abundance in this gas contains important information about early star formation and past supernova activity. We find that Type II supernovae based on a Salpeter IMF, plus a small number of additional Type Ia supernovae, can explain the the density, temperature and abundance profiles currently observed in gaseous halos around massive ellipticals. Within the central, optically bright regions of luminous ellipticals, approximately half of the interstellar iron is produced by Type Ia supernovae and half by mass lost from evolving stars which were originally enriched by Type II supernovae. However, iron and silicon abundances in the intracluster gas within rich clusters suggest enrichment by a larger number of supernovae per unit optical light than we require for massive ellipticals, either more Type Ia or more Type II from a flatter IMF. Since the enrichment histories of massive ellipticals and rich clusters are fundamentally different, E and SO galaxies may not be the only sources of metal enrichment in rich cluster gas.

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