English

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

Statistical Mechanics 2015-01-23 v1

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 pp. The claim is made that at saturation the surface width w(p)w(p) obeys a power-law scaling w(p)1/pδw(p) \propto 1/p^{\delta}, where δ\delta is only either δ=1/2\delta =1/2 or δ=1\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 p0+p \to 0^+, for any lattice size LL, the time evolution of w(t)w(t) generally obeys the scaling w(p,t)(Lα/pδ)F(p2δt/Lz)w(p,t) \propto (L^{\alpha}/p^{\delta}) F(p^{2\delta}t/L^z), where FF is Family-Vicsek universal scaling function. We show that these claims are incorrect.

Keywords

Cite

@article{arxiv.0909.0992,
  title  = {Comment on "Dynamic properties in a family of competitive growing models"},
  author = {A. Kolakowska and M. A. Novotny},
  journal= {arXiv preprint arXiv:0909.0992},
  year   = {2015}
}

Comments

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