Novel Monte-Carlo lattice approach to rapid directional solidification of binary alloys

A statistical approach is developed to study the phenomena related to the rapid solidification of binary alloys. We consider a microscopic lattice Hamiltonian containing an Ising-like variable to account for the alloy character of the model and a Potts-like variable to describe the presence of a solid or liquid spot. By means of a suitable set of Monte-Carlo evolution rules for these variables we are able to describe faithfully the advancing of a solid/liquid interface.