  By way of the projected phase-space (PPS), we investigate the relation
between galaxy properties and cluster environment in a subsample of groups from
the Yang Catalog. The sample is split according to the gaussianity of the
velocity distribution in the group into gaussian (G) and non-gaussian (NG). Our
sample is limited to massive clusters with $\rm M_{200} \geq 10^{14} M_{\odot}$
and $\rm 0.03\leq z \leq 0.1$. NG clusters are more massive, less concentrated
and have an excess of faint galaxies compared to G clusters. NG clusters show
mixed distributions of galaxy properties in the PPS compared to the G case.
Using the relation between infall time and locus on the PPS, we find that, on
average, NG clusters accreted $\rm \sim 10^{11}\,M_{\odot}$ more stellar mass
in the last $\sim 5$ Gyr than G clusters. The relation between galaxy
properties and infall time is significantly different for galaxies in G and NG
systems. The more mixed distribution in the PPS of NG clusters translates into
shallower relations with infall time. Faint galaxies whose first crossing of
the cluster virial radius happened 2-4 Gyr ago in NG clusters are older and
more metal-rich than in G systems. All these results suggest that NG clusters
experience a higher accretion of pre-processed galaxies, which characterizes G
and NG clusters as different environments to study galaxy evolution.
