Multilayer lattice gas model in the quasichemical approximation

The multilayer lattice gas model is dealt with in the quasichemical approximation. A restriction on the atomic stacking is also introduced in the system so that an atom can occupy only a lattice site whose underlying nearest neighbor lattice sites are all occupied by atoms. The critical condensation of atoms is investigated as the substrate potential is varied. The theory is also applied to the surface roughening of the crystalline bulk.