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We present an observational analysis of numerical simulations of galaxy cluster mergers. We identify several observational signatures of recent merger activity, and quantitatively assess the uncertainty introduced into cluster mass estimates when invoking the commonly held assumptions of hydrostatic equilibrium, virial equilibrium, spherical symmetry and isothermality. We find that mergers result in multiple X-ray peaks, long-lived elongation of the X-ray emission as well as isophotal twisting and centroid shifting to a degree consistent with recent observations. We also find an enlargement of the X-ray core relative to the dark matter core. Mergers result in non-isothermal clusters exhibiting observable inhomogeneities in the emission-weighted X-ray temperature of several keV on linear scales of less than 0.5 Mpc. The resulting gas dynamics are extremely complex, and we present an example of what might be observed by a high resolution X-ray spectrograph. We further speculate that the gas dynamics, via shocks, bulk flows and turbulence, play an important role in the evolution of cluster galaxies and associated radio sources, particularly wide-angle tailed (WAT) sources and radio halos. We find that X-ray based by cluster mass estimates made under equilibrium assumptions can be uncertain 50\% or more in the first 2 Gyrs after a merger and by up to 25\% after 2 Gyrs depending on the details of the analysis and projection effects. Uncertainties can be considerably larger if the temperature is not well constrained.Comment: 42 pages, Latex, 23 postscript figures, Accepted for publication in Ap

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We investigate the predicted present-day temperature profiles of the hot, X-ray emitting gas in galaxy clusters for two cosmological models - a current best-guess LCDM model and standard cold dark matter (SCDM). Our numerically-simulated "catalogs" of clusters are derived from high-resolution (15/h kpc) simulations which make use of a sophisticated, Eulerian-based, Adaptive Mesh-Refinement (AMR) code that faithfully captures the shocks which are essential for correctly modelling cluster temperatures. We show that the temperature structure on Mpc-scales is highly complex and non-isothermal. However, the temperature profiles of the simulated LCDM and SCDM clusters are remarkably similar and drop-off as $T +AFw-propto (1+-r/a_x)^{-+AFw-delta}$ where $a_x +AFw-sim r_{vir}/1.5$ and $+AFw-delta +AFw-sim 1.6$. This decrease is in good agreement with the observational results of Markevitch et al.(1998) but diverges, primarily in the innermost regions, from their fit which assumes a polytropic equation of state. Our result is also in good agreement with a recent sample of clusters observed by BeppoSAX though there is some indication of missing physics at small radii ($r<0.2 r_{vir}$). We discuss the interpretation of our results and make predictions for new x-ray observations that will extend to larger radii than previously possible. Finally, we show that, for $r>0.2 r_{vir}$, our universal temperature profile is consistent with our most recent simulations which include both radiative cooling and supernovae feedback.Comment: 8 pages, 6 figures, accepted for publication in ApJ, full-page version of Fig. 2 at http://www.cita.utoronto.ca/+AH4-cloken/PAPERS/UTP/f2.ep

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