Growth exponents in surface models with non-active sites

In this work, we studied the role played by the inactive sites present on the substrate of a growing surface. In our model, one particle sticks at the surface if the site where it falls is an active site. However, we allow the deposited particle to diffuse along the surface in accordance with some mechanism previously defined. Using Monte Carlo simulations, and some analytical results, we have investigated the model in (1+1) and (2+1) dimensions considering different relaxation mechanisms. We show that the consideration of non-active sites is a crucial point in the model. In fact, we have seen that the saturation regime is not observed for any value of the density of inactive sites. Besides, the growth exponent β turns to be one, at long times, whatever the mechanism of diffusion we consider in one and two dimensions.