A two-dimensional Monte Carlo approach of phase separation in binary (
A + B) alloys containing vacancies has been developed. This approach i
nvolves both swamp of atom-atom pairs and atom-vacancy (V) pairs in la
ttices. The thermodynamics of atom jumping, atom-atom and atom-vacancy
exchange have been derived. The phase separation in both symmetric an
d asymmetric alloys has been simulated. Based on the present approach
a normal dynamics of phase separation has been revealed. It has been f
ound that the concentration of vacancies in the lattice has a marked i
nfluence on kinetics of phase separation.