As the dynamical behaviour of a system is determined by the PES, characterization of the topography and topology of the PES is a prerequisite for understanding the dynamics. For larger clusters one would need some way to statistically characterize the PES in order to compensate for the incompleteness of any sample of stationary points. These surveys of the PES allow qualitative predictions of the effects of the range on the dynamics, and insight into the known relaxation behaviour of LJ clusters.
Quantitative predictions await the application of the master equation method.