External photo-evaporation rate of disks in the cluster. The left panel shows the external photo-evaporation rate of each disk (black dots) and the averaged values over all disks (blue line) at different simulation times. The right panel shows the maximum external photo-evaporation rate versus the averaged value over the cluster lifetime of each disk. We also indicate the location and the number of isolated stars with their external photo-evaporation rates remaining at the lowest limit. In addition, the yellow and blue crosses display low- and high-mass systems, which are discussed further in Sect. 4.1.