We investigate the phase separation kinetics of binary mixtures with the in
clusion of external energy flux. The morphology and growth kinetics of doma
ins are governed by the competition between thermally driven diffusion dyna
mics and externally imposed exchange dynamics. For thermally driven diffusi
ons over nearest-neighboring sites, diagonal oriented interfaces become pre
ferable due to the instability of horizontal and vertical interfaces. For d
iffusions over next-nearest-neighboring sites, horizontal and vertical inte
rfaces will become dominant. Interestingly, we find that the domain coarsen
ing is accelerated because of the high interface tensions and the interfaci
al roughness in the presence of external fluctuations, while the coarsening
of domains with horizontal or vertical facets is slower than that with til
ted interfaces because horizontal or vertical interfaces contain lower inte
rfacial tensions than diagonally oriented ones.