Growth of breath figures and a possible relationship with ultradynamics

An exact solvable model for the growth of breath figures in the intermediate time regime is presented. The model is based on the individual-droplet-growth power law $t^{\alpha }$, and a pattern of self-similarity. A relationship between this growth model and ultradynamics is proposed. The scaling behavior of ultradynamics accounts for the various observed features of breath-figure growth, such as the constant surface-area coverage and polydispersity as well as the average-growth power law $t^{3\alpha }$. The resulting distribution function of the droplet radius is in qualitative agreement with recent computer simulation results.