Abstract
The stress-driven formation of coherent islands in heteroepitaxial systems is studied within the frame of the kinetic theory of nucleation under dynamical conditions. The kinetic model for a description of the time evolution of the island size distribution and wetting layer thickness in Stranski-Krastanow growth mode is developed. The time scale hierarchy of the nucleation stage, the size relaxation stage, and the stage of critical wetting layer formation enable us to construct analytical solutions to the model kinetic equations. The time dependence of the lateral size distribution, wetting layer thickness, and other characteristics of the island formation process are calculated. Analytical expressions for the substrate temperature and growth rate dependence of the mean lateral size and surface density of islands are obtained and analyzed.
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