Fractal properties of percolating film structures

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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.