We study by a Markov matrix analysis of the equivalent random walks the dynamic properties of continuous media consisting of both correlated and uncorrelated equal-size spheres. We employ a blind ant random-walk model using the rule that a walker jumps among centers of the directly connected...

We study both submonolayer and multilayer growth in a model of thin-film growth appropriate for the case in which the deposited material is “incopatible” with the substrate in the sense that the deposited atoms do not wet the substrate. We find that the scaling behavior of the monomer and...

The mass distribution of invaded clusters in non-trapping invasion percolation between an injection site and an extraction site has been studied, in two, three, and four dimensions. This study is an extension of the recent study focused on two dimensions by Araújo et al. [A.D. Araújo, T.F....

The height–height correlations of the surface growth for equilibrium and nonequilibrium restricted solid-on-solid (RSOS) model were investigated on randomly diluted lattices, i.e., on infinite percolation networks. It was found that the correlation function calculated over the chemical...

One of the fundamental quantities which statistically characterizes a random system of interacting particles is the nearest-neighbor distribution function. We present computer-simulation results for two different types of nearest-neighbor distribution functions for random distributions of...