The original versions of the limited-mobility growth models of Das Sarma and Tamborenea (DT) and of Wolf and Villain (WV) were simulated in one-dimensional substrates of lengths L⩽256 and ⩽512, respectively. The growth regime may be separated in two regions, giving effective growth exponents...

Considering some deposition models with limited mobility, we show that the typical decay of the interface width to its saturation value is exponential, which defines the crossover or saturation time τ. We present a method to calculate a characteristic time τ0 proportional to τ and estimate...

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...

In order to estimate roughness exponents of interface growth models, we propose the calculation of effective exponents from the roughness fluctuation σ in the steady state. We compare the finite-size behavior of these exponents and the ones calculated from the average roughness 〈w2〉 for two...

Using computer simulations and scaling ideas, we study one-dimensional models of diffusion, aggregation and detachment of particles from islands in the post-deposition regime, i.e., without flux. The diffusion of isolated particles takes place with unit rate, aggregation occurs immediately upon...

We studied random walks on two-dimensional patterns formed by the sequence of configurations of complex elementary cellular automata (CA) with random initial configurations. The walkers are allowed to jump between nearest neighbours or next nearest neighbours 1 sites. On patterns of rules 22,...

We studied the ferromagnetic Ising model on two-dimensional systems with rough boundaries and several thickness distributions. First, we considered very long strips with discretized Gaussian distributions of widths with mean 3⩽L⩽12. Systems with fixed interface width W and with increasing...

The dependence of physical quantities on the finite size of a structure and their dependence on the surface roughness are the questions considered in our studies of the ferromagnetic Ising model on two- and three-dimensional systems. In two dimensions, we consider very long strips of random...