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Cosmological simulations are fundamental tools to study structure formationand the astrophysics of evolving structures, in particular clusters ofgalaxies. While hydrodynamical simulations cannot sample efficiently largevolumes and explore different cosmologies at the same time, N-body simulationslack the baryonic physics that is crucial to determine the observed propertiesof clusters. One solution is to use (semi-)analytical models to implement theneeded baryonic physics. In this way, we can generate the many mock universesthat will be required to fully exploit future large sky surveys, such as thatfrom the upcoming eROSITA X-ray telescope. We developed a phenomenologicalmodel based on observations of clusters to implement gas density andtemperature information on the dark-matter-only halos of the MultiDarksimulations. We generate several full-sky mock light-cones of clusters for theWMAP and Planck cosmologies, adopting different parameters in ourphenomenological model of the intra-cluster medium. For one of thesesimulations and models, we also generate 100 light-cones corresponding to 100random observers and explore the variance among them in several quantities. Inthis first paper on MultiDark mock galaxy cluster light-cones, we focus onpresenting our methodology and discuss predictions for eROSITA, in particular,exploring the potential of angular power spectrum analyses of its detected (andundetected) cluster population to study X-ray scaling relations, theintra-cluster medium, and the composition of the cosmic X-ray background. Wemake publicly available on-line more than 400 GB of light-cones, which includethe expected eROSITA count rate, on Skies & Universes(http://www.skiesanduniverses.org).

MultiDark-Clusters: Galaxy Cluster Mock Light-Cones, eROSITA and the Cluster Power Spectrum