Comment on "Dynamic properties in a family of competitive growing models".
The article [Phys. Rev. E 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) proportional, variant1/pdelta, 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-->0+, for any lattice size L, the time evolution of w(t) generally obeys the scaling w(p,t) proportional, variant(Lalpha/pdelta)F(p2deltat/Lz), where F is Family-Vicsek universal scaling function. We show that these claims are incorrect.
Kolakowska
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Department of Mathmatics and Actuarial Sciences, Indiana University Northwest, 3400 Broadway, Gary, Indiana 46408, USA. alice@kolakowska.us
Novotny
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MA
D000818:Animals; D005075:Biological Evolution; D001704:Biopolymers / Q000737:chemistry*; D003163:Competitive Behavior / Q000502:physiology*; D003198:Computer Simulation; D003460:Crystallization / Q000379:methods*; D006128:Growth / Q000502:physiology*; D006801:Humans; D046911:Macromolecular Substances / Q000737:chemistry; D008954:Models, Biological; D015233:Models, Statistical; D011157:Population Dynamics
D001704:Biopolymers; D046911:Macromolecular Substances