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Chandra Fellows Symposium 2006Ben Maughan (CfA)
The cluster scaling relations observed by Chandra
C. Jones, W. Forman, L. Van Speybroeck
Chandra Fellows Symposium 2006Ben Maughan (CfA)
Introduction
Galaxy clusters are powerful cosmological probes They are dominated by dark matter and their properties are
sensitive to dark energy Measurements of e.g. mass function, gas fraction and
apparent evolution can place useful cosmological constraints
Provide independent constraints to e.g. CMB, SNIa with different degeneracies and systematics
Best cosmology with clusters requires mass estimates
Chandra Fellows Symposium 2006Ben Maughan (CfA)
Measuring Cluster Masses
Clusters are ~85% dark matter and ~15% baryons Baryons are dominated by hot X-ray emitting gas Very luminous so can be detected to z~1.5 Emissivity 2 so projection effects minimised
Chandra Fellows Symposium 2006Ben Maughan (CfA)
Measuring Cluster Masses
Clusters are ~85% dark matter and ~15% baryons Baryons are dominated by hot X-ray emitting gas Very luminous so can be detected to z~1.5 Emissivity 2 so projection effects minimised
Use X-rays to measure radial profiles of gas and kT Under assumption of hydrostatic equilibrium, solve for total
gravitating mass However, such detailed measurements require LOTS of
photons – hard for less luminous / more distant clusters
Chandra Fellows Symposium 2006Ben Maughan (CfA)
Scaling Relations
Current and future cluster surveys will detect 1000’s of clusters out to high z
Need efficient method to estimate masses from simple properties measured in survey data (e.g. kT, Lx)
Simple self-similar models predict tight scaling relations between basic cluster properties (e.g. LxkT2, MkT3/2)
Observations find relations do exist, but differ from SS predictions (e.g. LxkT3) Indicates importance of non-gravitational processes
Chandra Fellows Symposium 2006Ben Maughan (CfA)
Non-Gravitational Processes
Dense gas in cluster cores radiates efficiently and cools Bright, cool cores in many clusters
Scaled temperature profiles from Vikhlinin et. al. (2006)
Chandra Fellows Symposium 2006Ben Maughan (CfA)
Non-Gravitational Processes
Dense gas in cluster cores radiates efficiently and cools Bright, cool cores in many clusters
Large amounts of very cool gas not detected in cores Cooling balanced by energy input
Prime candidate: AGN activity, details uncertain Mergers also important to cluster energetics
Chandra Fellows Symposium 2006Ben Maughan (CfA)
Non-Gravitational Processes
Dense gas in cluster cores radiates efficiently and cools Bright, cool cores in many clusters
Large amounts of very cool gas not detected in cores Cooling balanced by energy input
Prime candidate: AGN activity, details uncertain Mergers also important to cluster energetics
Study of scaling relations gives insight into when, where and how these processes affect cluster properties
Chandra Fellows Symposium 2006Ben Maughan (CfA)
The Sample
128 clusters observed with Chandra ACIS-I Includes all such clusters at z>0.1 with published z
Chandra Fellows Symposium 2006Ben Maughan (CfA)
Analysis Methods
Use blank sky bg files for spectral and imaging analysis Measure kT within R500 and iterate until stable
Estimate R500 using Vikhlinin et. al. (2006) MT relation R500 radius within which mean is 500crit(z)
Generally exclude central region for kT and Lx measurements
Fit surface brightness profile with projected 3D emission measure profile (Vikhlinin et. al. 2006) Modified -model with core component and steeper
slope at large R Derive gas density profile
Chandra Fellows Symposium 2006Ben Maughan (CfA)
Gratuitous Eye Candy
adaptively smoothed, 3Mpc per side, in order of z
Chandra Fellows Symposium 2006Ben Maughan (CfA)
Gratuitous Eye Candy
adaptively smoothed, 3Mpc per side, in order of z
Drop z<0.1 for the purposes discussed here (leaves 111)
Chandra Fellows Symposium 2006Ben Maughan (CfA)
The L-T Relation
Lx and kT with no correction for cool cores compared with Markevitch (1998) relation for local clusters
Predicted SS evolution removed
CC clusters: kT in core at least 1 cooler than external kT
N.B. local relation corrected for cool cores
Chandra Fellows Symposium 2006Ben Maughan (CfA)
The L-T Relation
Plot fractional residuals from local relation against redshift without evolution correction
Solid line marks locus of expected SS evolution Points should
scatter about that
Chandra Fellows Symposium 2006Ben Maughan (CfA)
The L-T Relation
Now exclude central 70kpc from Lx and central 0.15 R500 from kT measurements Consistent with method for local relation
Chandra Fellows Symposium 2006Ben Maughan (CfA)
The L-T Relation
Finally exclude central 0.15 R500 for Lx too Scatter dominated by core properties Expected SS evolution generally ok
Still some significant deviations from relation
Chandra Fellows Symposium 2006Ben Maughan (CfA)
Gas Density Profiles
Compare most significantly deviant clusters with the non-deviant clusters
Plot gas density normalised to crit(z) and radius normalised to R500 (from kT with 0.15 R500 excluded)
Deviant clusters have high gas densities out to ~0.5R500
Chandra Fellows Symposium 2006Ben Maughan (CfA)
Deviant Clusters
Two deviants with best data Mass profiles consistent with normal systems Both have striking cold fronts – are these responsible?
MS1455 (z=0.26) ZW3146 (z=0.29)
R500
Chandra Fellows Symposium 2006Ben Maughan (CfA)
The Lx-Yx Relation
Yx = product of gas mass and temperature (Kravtsov et al. 2006)
Has more robust, low-scatter relation with total mass than other X-ray observables
kT in Yx is with central 0.15 R500 excluded
Lx is not CC corrected
Chandra Fellows Symposium 2006Ben Maughan (CfA)
The Lx-Yx Relation
Excluding central 0.15 R500 for Lx gives very tight relation Lowest scatter of all relations studied here
If Yx good mass proxy, implies Lx outside core is too
Chandra Fellows Symposium 2006Ben Maughan (CfA)
The Lx-Yx Relation
Plot fractional residuals from local relation Predicted evolution is strong, but matches data
Data suggests slightly weaker evolution?
Chandra Fellows Symposium 2006Ben Maughan (CfA)
Summary and conclusions
Looked at scaling relations in large sample of Chandra clusters
Deviations/scatter dominated by cluster cores Lx-kT deviations also revealed subset of clusters with
elevated gas density out to large radii Related to cool cores & cold fronts?
Surprisingly tight Lx-Yx relation outside core Lx outside core good mass proxy? Lx-kT deviations outside core due to low kT for M?
SS evolution obeyed in all relations Possible weaker evolution in Lx-Yx?