Abstract
The nucleation and growth of surface clusters are described by means of the following approach. The growth process is divided into three stages: undercritical, near-critical and overcritical stages. For each stage, certain assumptions are made and the solutions obtained are then joined together at the boundaries. Within the undercritical region, the distribution of nuclei is considered to be of an equilibrium nature, while within the near-critical region the distribution is quasi-stationary. For the overcritical region the decay of clusters is considered to be negligible. Using certain approximations for the nucleation rate and stable cluster growth rate, the set of equations of condensation kinetics is solved analytically. The time dependence of supersaturation, nucleation rate, surface density of islands and cluster size distribution are found.
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