The emerging state of open clusters upon their violent relaxation

The state after virialization of a small-to-intermediate N-body system depends on its initial conditions; in particular, systems that are, initially, dynamically “cool” (virial ratios Q below 0:3) relax violently in few crossing times. This leads to a metastable system (virial ratio ~ 1) which carries a clear signature of mass segregation much before the gentle 2-body relaxation time scale. This result is obtained by a set of high precision N-body simulations of isolated clusters composed of stars of two different masses (in the ratio mh=ml = 2), and is confirmed also in presence of a massive central object (simulating a black hole of stellar size). We point out that this (quick) mass segregation occurs in two phases: the first one shows up in clumps originated by sub-fragmentation before the deep overall collapse; this segregation is erased during the deep collapse to re-emerge, abruptly, during the second phase that occurs after the first bounce of the system. This way to segregate masses, actual result of a violent relaxation, is an interesting feature also on the astronomical-observational side. In those stellar systems that start their dynamical evolution from cool conditions, this kind of mass segregation adds to the following, slow, secular segregation as induced by 2- and 3- body encounters.