Substructures and density profiles of clusters in models of galaxy formation

In this paper we investigate, using high resolution N-body simulations, the density profiles and the morphologies of galaxy clusters in seven models of structure formation. We show that these properties of clusters are closely related to the occurrence of a significant merging event in the recent past. The seven models are: (1) the standard CDM model (SCDM) with $\Omega_0 = 1$, $\Lambda_0=0$ and $h=0.5$; (2) a low-density flat model (FL03) with $\Omega_0=0.3$, $\Lambda_0=0.7$ and $h=0.75$; (3) an open model (OP03) with $\Omega_0=0.3$, $\Lambda_0=0$ and $h=0.75$; (4) a low-density flat model (FL02) with $\Omega_0=0.2$, $\Lambda_0=0.8$ and $h=1$; (5) an open model (OP02) with $\Omega_0=0.2$, $\Lambda_0=0$ and $h=1$; (6) a low-density flat model (FL01) with $\Omega_0=0.1$ and $\Lambda_0=0.9$; (7) an open model (OP01) with $\Omega_0=0.1$ and $\Lambda_0=0$. We find that the density profiles and morphologies of clusters depend both on $\Omega_0$ and on $\Lambda_0$. For $\Lambda_0=0$, these properties are a monotonic function of $\Omega_0$. Clusters in OP01 have the steepest density profiles, their density contours are the roundest and show the smallest center shifts. The other extreme case is SCDM, where clusters show the least steep density profiles and the most elongated contours. For a given $\Omega_0$ ($<1$), clusters in the flat model (i.e. with $\Lambda_0=1-\Omega_0$) have flatter density profiles and less substructures than in the corresponding open model. In particular, our results show that low-density flat models with $\Omega_0\sim 0.3$, which are currently considered as a successful alternative to SCDM, can produce a substantial fraction of clusters with substructures. This is in contrast to the conception that this kind of models may have serious problem in this aspect.