Radial locations x of sink particles which are not accreted before t = 36 P_K, color-coded according to the locations at which they emerge, as functions of the simulation time t for the simulation with the largest box size, run_0.8_320. On average, the motions of the sink particles span more than half of the radial extent of the simulation box, a couple of them even migrate through the entire radial dimension of the box.