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Recent simulations and observations suggest that star clusters form via theassembling of smaller sub-clusters. Because of their short relaxation time,sub-clusters experience core collapse much earlier than virializedsolo-clusters, which have similar properties of the merger remnant of theassembling clusters. As a consequence it seems that the assembling clustersresult in efficient multiple collisions of stars in the cluster core. Weperformed a series of $N$-body simulations of ensemble and solitary clustersincluding stellar collisions and found that the efficiency of multiplecollisions between stars are suppressed if sub-clusters assemble after theyexperience core collapse individually. In this case, sub-clusters form theirown multiple collision stars which experienced a few collisions, but they failto collide with each other after their host sub-clusters assemble. The multiplecollision stars scatter each other and escape, and furthermore the centraldensity of the remnant clusters had already been depleted for the stars toexperience more collisions. On the other hand, if sub-clusters assemble beforethey experience core collapse, the multiple collisions of stars proceedefficiently in the remnant cluster, and the collision products are more massivethan virialized solo-clusters and comparable in mass to cold solo-clusters.

The growth of massive stars via stellar collisions in ensemble star clusters