Ordered phase AB diffusive growth and its boundary evolution are inves
tigated by computer simulation on a square lattice. Interaction with t
he atoms of both the first and second coordinative spheres is taken in
to account. It is found that the boundary is a self-affine fractal wit
h Hurst exponent H = 1/2. It is shown that the fractality of the bound
ary leads to the non-parabolic growth of the phase width. The width of
the phase and of the boundary grow as a power law with the same expon
ents (approximately 0.2) at least in the initial stage.