2-DIMENSIONAL NUCLEATION PROCESS BY MONTE-CARLO SIMULATION

Two dimensional nucleation process on substrate is investigated by Mon te Carlo simulation, and the critical nucleus size and its waiting tim e are measured with a high accuracy. In order to measure the critical nucleus with a high accuracy, we calculate the attachment and the deta chment rate to the nucleus directly, and define the critical nucleus s ize when both rate are equal. Using the kinematical nucleation theory by Nishioka, it is found that our obtained kinematical two dimensional critical nucleus size are about ten percent smaller than the thermody namically defined one. The dependence on the chemical potentials for t he critical nucleus size is good agreement with the classical nucleati on theory. For the surface diffusion dependence of the critical nucleu s size, it is found that the critical nucleus size increases as the su rface diffusion length to long distance.