Temperature dependence of a Kelvin model for binary nucleation

The temperature dependence of binary nucleation rates was studied using sev eral different models for the cluster evaporation rates. The evaporation ra tes were found using the detailed balance relations in combination with thr ee different models for the constrained equilibrium cluster concentrations: the classical Reiss model, the self-consistent classical model of Wilemski and Wyslouzil, and the new Kelvin model. The latter two models are modific ations of the classical liquid droplet expression for the equilibrium clust er concentrations. The steady state binary kinetics equations were numerica lly solved using the technique of matrix inversion by patitioning. Numerous test calculations were made for the ideal ethanol-hexanol system. We found that the Kelvin model gave the most realistic temperature dependence of th e three models examined. An analytical rate expression that accurately repr oduces the numerical results is also presented.