Scaled Nucleation in a Lennard-Jones System

Scaling of the vapor-to-liquid nucleation rate, $J$, is examined in a model Lennard-Jones system using Monte Carlo derived rate constant ratios for growth and decay of small clusters. \ The model assumes a dilute vapor system of non-interacting clusters and the steady-state nucleation rate formalism expressed as a summation over products of rate constant ratios. The nucleation rates so obtained are examined in a scaling plot of $\log J$ \ \textit{vs.} $\ \ln S/[T_{c}/T-1]^{3/2}$ [Hale, B. N., \textit {J. Chem. Phys}. 122, 204509 (2005)], the general form of which has been recently used to test the consistency of nucleation rate data [Gharibeh, M., Kim, Y., Dieregsweiler, U., Wyslouzil, B., Ghosh, D. and Strey, R., \textit{J. Chem. Phys}. 122, 094523 (2005); Brus, D., Zdimal, V., and Stratmann, F., \textit{% J. Chem. Phys}. 124, 164306 (2006)].