The kinetics of spinodal decomposition and morphological evolution nea
r a crystalline surface (an edge in two dimensions) were investigated
by microscopic master equations in both the point and pair approximati
ons and a second-neighbor interaction model in a two-dimensional model
system. It is shown that, in the presence of a surface, spinodal deco
mposition initially involves surface segregation, followed by anisotro
pic decomposition in the near-surface region, with subsequent isotropi
c decomposition in the bulk. It is demonstrated that, due to segregati
on, a surface spinodal decomposition may take place for alloys whose o
verall average compositions are outside the bulk spinodal. It is found
that the presence of a surface results in a dominant concentration wa
ve, which produces interesting transient morphological patterns such a
s distorted hexagonal precipitate lattices for relatively low-volume f
ractions and straight stripes at high-volume fractions in the near-sur
face region. The effect of pair correlations on the kinetics of spinod
al decomposition and morphologies was studied.