The spatial and kinematic distributions of cluster galaxies in a Lambda CDM universe: comparison with observations

We combine dissipationless N-body simulations and semi-analytic models of g alaxy formation to study the spatial and kinematic distributions of cluster galaxies in a Lambda CDM cosmology. We investigate how the star formation rates (SFRs), colours and morphologies of galaxies vary as a function of di stance from the cluster centre, and compare our results with the CNOC1 surv ey of galaxies from 15 X-ray-luminous clusters in the redshift range 0.18 < z < 0.55. In our model, gas no longer cools on to galaxies after they fall into the cluster and, as a result, their SFRs decline on time-scales of si milar to 1-2 Gyr. Galaxies in cluster cores have lower SFRs and redder colo urs than galaxies in the outer regions, because they were accreted earlier. Our colour and star formation gradients agree with those derived from the data. The difference in velocity dispersions between red and blue galaxies observed in the CNOC1 dusters is also well reproduced by the model. We assu me that the morphologies of cluster galaxies are determined solely by their merging histories. A merger between two equal-mass galaxies produces a bul ge, and subsequent cooling of gas results in the formation of a new disc. M orphology gradients in clusters arise naturally, with the fraction of bulge -dominated galaxies highest in cluster cores. The fraction of bulge-dominat ed galaxies inside the virial radius depends on the mass of the cluster, bu t is independent of redshift for clusters of fixed mass. Galaxy colours and SFRs do not depend on cluster mass. We compare the distributions of galaxi es in our simulations as a function of bulge-to-disc ratio, and as a functi on of projected clustercentric radius, with those derived from the CNOC1 sa mple. We find excellent agreement for bulge-dominated galaxies. The simulat ed clusters contain too few galaxies of intermediate bulge-to-disc ratios, suggesting that additional processes may influence the morphological evolut ion of disc-dominated galaxies in clusters. Although the properties of the cluster galaxies in our model agree extremely well with the data, the same is not true of field galaxies. Both the SFRs and the colours of bright fiel d galaxies appear to evolve much more strongly from redshift 0.2 to 0.4 in the CNOC1 field sample than in our simulations.