Comment on "Dynamic properties in a family of competitive growing models"

Abstract

The article [Phys. Rev. E {\bf 73}, 031111 (2006)] by Horowitz and Albano reports on simulations of competitive surface-growth models RD+X that combine random deposition (RD) with another deposition X that occurs with probability $p$. The claim is made that at saturation the surface width $w(p)$ obeys a power-law scaling $w(p) \propto 1/p^{\delta}$, where $\delta$ is only either $\delta =1/2$ or $\delta=1$, which is illustrated by the models where X is ballistic deposition and where X is RD with surface relaxation. Another claim is that in the limit $p \to 0^+$, for any lattice size $L$, the time evolution of $w(t)$ generally obeys the scaling $w(p,t) \propto (L^{\alpha}/p^{\delta}) F(p^{2\delta}t/L^z)$, where $F$ is Family-Vicsek universal scaling function. We show that these claims are incorrect.