Constraining the Temperature Distribution of Low Temperature Galaxy Clusters

Mathematics – Logic

Scientific paper

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Scientific paper

The scaling relation between x-ray temperature and luminosity of galaxy clusters has important consequences for the use of galaxy clusters as cosmological probes. Understanding and calibrating this relationship can lead to tighter constraints on cosmological parameters. Measurements of ICM temperatures implicitly assume an isothermal temperature distribution; however, Chandra and XMM-Newton observations have shown that the distribution is often quite complex. Measuring the width of the ICM temperature distribution may provide a method to calibrate the scaling relations. We model the ICM as a collection of smoothed particles of x-ray emitting plasma. Each particle is described by a set of parameters, including temperature. The model is compared with X-ray data from XMM-Newton via a Markov Chain Monte Carlo. The standard deviation of the smoothed particles’ temperatures provides a measurement of the width of the temperature distribution. A set of simulations was done to ascertain that the measured width depends on the intrinsic distribution of temperatures as well as the number of photons in the data and the model, the ICM temperature and number of smoothed particles used. We have used this method on XMM-Newton EPIC and RGS observations of three low temperature clusters, Abell 262, HCG 62, and Abell 3581.

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