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.

2 pages, 3 figures, accepted for publication in Physical Review E in Aug. 2009

References in corpus (3)

• Dynamic properties in a family of competitive growing models
• Universal Scaling in Mixing Correlated Growth with Randomness
• Roughening of the (1+1) interfaces in two-component surface growth with an admixture of random deposition

Cited by in corpus (1)

• Nonuniversal effects in mixing correlated-growth processes with randomness: Interplay between bulk morphology and surface roughening