Simple cellular models for growth

Abstract

This paper examines some simple growth models of surface morphology on the atomistic scale from a single point nucleation source. Cellular Automata and Monte Carlo simulations are described and compared for growth from a point source. They are then applied to demonstrate the growth of spiral morphology from a screw dislocation. The shape of the spiral is shown to be dependant both on the parameters used in the models and the type of algorithm chosen.