Evolution at z>0.5 of the X-ray properties of simulated galaxy clusters: comparison with the observational constraints

(ABRIDGED) We analyze the X-ray properties of a sample of local and high redshift galaxy clusters extracted from a large cosmological hydrodynamical simulation. This simulation has been realized using the Tree+SPH code GADGET-2 for a LambdaCDM model. In our analysis, we consider only objects with T_ew >2 keV and adopt an approach that mimics observations, associating with each measurement an error comparable with recent observations and providing best-fit results via robust techniques. Within the clusters, baryons are distributed among (i) a cold neutral phase, with a relative contribution that increases from less than 1 to 3 per cent at higher redshift, (ii) stars which contribute with about 20 per cent and (iii) the X-ray emitting plasma that contributes by 80 (76) per cent at z=0 (1) to the total baryonic budget. A depletion of the cosmic baryon fraction of ~7 (at z=0) and 5 (at z=1) per cent is measured at the virial radius, R_vir, in good agreement with adiabatic hydrodynamical simulations. We confirm that, also at redshift >0.5, power-law relations hold between gas temperature, T, bolometric luminosity, L, central entropy, S, gas mass, M_gas, and total gravitating mass, M_tot and that these relations are steeper than predicted by simple gravitational collapse. A significant, negative evolution in the L-T and L-M_tot relations and positive evolution in the S-T relation are detected at 0.5 < z < 1 in this set of simulated galaxy clusters. This is partially consistent with recent analyses of the observed properties of z>0.5 X-ray galaxy clusters. By fixing the slope to the values predicted by simple gravitational collapse, we measure at high redshift normalizations lower by 10-40 per cent in the L-T, M_tot-T, M_gas-T, f_gas-T and L-M_tot relations than the observed estimates.