Mass Accretion Rates of the HectoMAP Clusters of Galaxies

We estimate the mass accretion rate (MAR) of 321 clusters of galaxies in the HectoMAP Cluster Survey. The clusters span the redshift range 0.17-0.42 and the M (200) mass range approximate to (0.5-3.5) x 10(14) M (circle dot). The MAR estimate is based on the caustic technique along with a spherical infall model. Our analysis extends the measurement of MARs for 129 clusters at z < 0.3 from the Cluster Infall Regions in the Sloan Digital Sky Survey and the Hectospec Cluster Survey to redshift z similar to 0.42. Averaging over redshift, low-mass clusters with masses near 0.7 x 10(14) M (circle dot) roughly accrete 3 x 10(4) M (circle dot) yr(-1); more massive clusters with masses near 2.8 x 10(14) M (circle dot) roughly accrete 1 x 10(5) M (circle dot) yr(-1). Low- and high-mass clusters increase their MAR by approximately 46% and 84%, respectively, as the redshift increases from z in the range 0.17-0.29 to z in the range 0.34-0.42. The MARs at fixed redshift increase with mass and MARs at fixed mass increase with redshift in agreement with the ?CDM cosmological model for hierarchical structure formation. We consider the extension of MAR measurements to z similar to 1.