A Monte-Carlo Approach to Cellular Pattern Evolution for Binary Alloys during Directional Solidification

A Monte-Carlo approach of cellular pattern evolution during directional solidification of a binary alloy has been carried out by imposing a non-uniform probability distribution of particle emission from the particle source, as an approach to the contribution of solute redistribution to the interface evolution. Both the bulk and interface diffusion have been involved in the simulation,and coarsening of the cellular patterns with time has been clearly revealed. The remarkable influence of the interface relaxation and the solute redistribution on the profile of solidifying interface has been presented.