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تسجيل مستخدم جديدEffects of Selection and Covariance on X-ray Scaling Relations of Galaxy Clusters
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We explore how the behavior of galaxy cluster scaling relations are affected by flux-limited selection biases and intrinsic covariance among observable properties. Our models presume log-normal covariance between luminosity (L) and temperature (T) at fixed mass (M), centered on evolving, power-law mean relations as a function of host halo mass. Selection can mimic evolution; the lm and lt relations from shallow X-ray flux-limited samples will deviate from mass-limited expectations at nearly all scales while the relations from deep surveys ($10^{-14} cgsflux$) become complete, and therefore unbiased, at masses above $sims 2 times 10^{14} hinv msol$. We derive expressions for low-order moments of the luminosity distribution at fixed temperature, and show that the slope and scatter of the lt relation observed in flux-limited samples is sensitive to the assumed lt correlation coefficient. In addition, lt covariance affects the redshift behavior of halo counts and mean luminosity in a manner that is nearly degenerate with intrinsic population evolution.
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