The Evolution of Population Gradients in Galaxy Clusters: the Butcher-Oemler Effect and Cluster Infall

We present photometric and spectroscopic measurements of the galaxy populations in clusters from the CNOC1 sample of rich, X-ray luminous clusters at $0.18 < z < 0.55$. A classical measure of the galaxy blue fraction for spectroscopically confirmed cluster members shows a significant Butcher-Oemler effect for the sample, but only when radii larger than 0.5$r_{200}$ are considered. We perform a principal component analysis of galaxy spectra to divide the total cluster light into contributions from stellar populations of different ages. Composite radial distributions of different stellar populations show strong gradients as a function of cluster-centric radius. The composite population is dominated by evolved populations in the core, and gradually changes at radii greater than the virial radius to one which is similar to coeval field galaxies. We do not see evidence at any radius within the clusters for an excess of star formation over that seen in the coeval field. Within this redshift range, significant evolution in the fractional population gradient is seen. Both low and high redshift clusters have similar populations in the cluster cores, but higher redshift clusters have steeper gradients and more star forming galaxies at radii outside of the core region~-- in effect, a restatement of the Butcher-Oemler effect. Luminosity density profiles are consistent with a scenario where this phenomenon is due to a decline over time in the infall rate of field galaxies into clusters. Depending on how long galaxies reside in clusters before their star formation rates are diminished, this suggests a decrease in the infall into clusters of a factor of $\sim 3$ between $z > 0.8$ and $z \sim 0.5$. We also discuss alternative scenarios for the evolution of cluster populations.