FRACTAL PROPERTIES OF PERCOLATING FILM STRUCTURES

We simulate nucleation and growth processes of thin films on the basis of the so-called rate equation approach allowing ''atoms'' to diffuse and rearrange whereby enhancing their co-ordination number. The resulting percolating structures are different from those obtained by the ''pure'' percolation model where ''atomic diffusion'' is not taken into account. However, the fractal properties for p = p(c) are the same as for the percolation model with the fractal dimension of d(f) = 1.896 and for random walks of d(w) = 2.87. Moreover, d(f) and d(w), are independent on the diffusion time we choose for our simulations.