Characterizing the Properties of Clusters of Galaxies as a Function of Luminosity and Redshift
K. Andersson, J.R. Peterson, G. Madejski, A. Goobar

TL;DR
This study applies a novel Monte Carlo method to analyze X-ray observations of galaxy clusters, revealing insights into their luminosity-temperature relation, evolution, and substructure, with new techniques for characterizing temperature fluctuations.
Contribution
It introduces the Smoothed Particle Inference method for analyzing galaxy clusters and proposes the temperature two-point correlation function to study cluster substructure and evolution.
Findings
Confirmed L_X rac{T}{3}
Detected weak redshift evolution in the L_X - T relation
Identified signs of dynamical evolution in cluster substructure
Abstract
We report the application of a new Monte Carlo method, Smoothed Particle Inference (SPI, described in a pair of companion papers), towards analysis and interpretation of X-ray observations of clusters of galaxies with the XMM-Newton satellite. Our sample consists of publicly available, well-exposed observations of clusters at redshifts z > 0.069, totaling 101 objects. We determine the luminosity and temperature structure of the X-ray emitting gas, with the goal to quantify the scatter and the evolution of the L_X - T relation, as well as to investigate the dependence on cluster substructure with redshift. We confirm that L_X \propto T^3 and we find a weak redshift dependence (\propto (1+z)^(\beta_LT), \beta_LT=0.50 +- 0.34), in contrast to some Chandra results. The level of dynamical activity is established using the "power ratios" method, and we find signs of evolution in the P_3/P_0…
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