Static phase and dynamic scaling in a deposition model with an inactive species

Abstract

We extend a previously proposed deposition model with two kinds of particles, considering the restricted solid-on-solid condition. The probability of incidence of particle C (A) is p (1-p). Aggregation is possible if the top of the column of incidence has a nearest neighbor A and if the difference in the heights of neighboring columns does not exceed 1. For any value of p>0, the deposit attains some static configuration, in which no deposition attempt is accepted. In 1+1 dimensions, the interface width has a limiting value W_s ~ p^{-\eta}, with \eta = 3/2, which is confirmed by numerical simulations. The dynamic scaling relation W_s = p^{-\eta} f(tp^z) is obtained in very large substrates, with z=\eta.