Phase separation in the presence of a surface

We have studied the phase separation of a system with a conserved order parameter in the presence of a flat surface via Monte Carlo simulations. For various quench parameters, we observed the domain growth in a surface layer. The kinetics of this ordering was studied, both in the presence and absence of bulk phase separation. In the absence of bulk phase separation, the surface domains were found to follow model A growth kinetics. In the presence of bulk phase separation, a crossover in the surface kinetics between model A and model B dynamics was observed.