Recent experiments on systems such as Rh/Ag or Ni/Ag have shown that,
in an intermediate range of temperature, the competition between the f
lux of the deposited adatoms and the interdiffusion between the deposi
t and the substrate can lead to an original growth mode in which a flo
ating mono- or bi-substrate layer buries the deposited film. This surf
actant effect has been previously modelled, in the simplified situatio
n of successive flashes of a complete monolayer, in the framework of t
he kinetic tight-binding Ising model. We show here that the extension
of this model to the case of a continuous incoming flux leads to a wid
e variety of behaviours concerning the depth and spatial extension of
the buried film as a function of the flux.