Rare gas clusters: Solids, liquids, slush, and magic numbers

Simulations by constant energy molecular dynamics have been performed for numerous clusters in the size range N=7-33. Detailed investigations have been conducted on the portions of the caloric curves in which the transition between rigid and nonrigid behavior occurs, to study the N dependence of the solid-liquid phase change. Clusters of several sizes display a coexistence of forms, each with a characteristic mean temperature, over a well-defined energy range in the transition region, as had been observed for the Ar₁₃ cluster. Within the coexistence region, the high temperature form is solid-like and the low temperature form behaves in a liquid-like fashion. The caloric curves of state for these clusters take on two-valued forms when averages are calculated for each of the two "phases" separately; the two branches are smooth extensions of the curves from the single phase regions. Clusters of other sizes do not display this clear coexistence of phases, but appear to pass through a "slush-like" state during the melting transition. The coexistence behavior is not a smooth function of N. The clusters Ar₁₃ and Ar₁₉, and to a certain extent Ar₇, display high stability properties indicative of magic number behavior.