The deposition, diffusion and aggregation (DDA) on surfaces with a power-la
w adsorption has been studied by Monte Carlo simulations. The model incorpo
rates four elementary processes including deposition, diffusion, adsorption
, and aggregation. When the correlation parameter alpha increases from 1 to
infinity, the patterns change from site percolations to DDA clusters. The
fractal dimension increases too. It shows that there is a clustering transi
tion from a weakly correlated distribution of particles to a strongly corre
lated one. (C) 2001 Elsevier Science B.V. All rights reserved.