Ballistic deposition with power-law noise: A variant of the Zhang model

Sergey V. Buldyrev, Shlomo Havlin, Janos Kertész, H. Eugene Stanley, Tamas Vicsek

Research output: Article

35 Citations (Scopus)


We study a variant of the Zhang model [Y.-C. Zhang, J. Phys. (Paris) 51, 2113 (1990)], ballistic deposition of rods with the length l of the rods being chosen from a power-law distribution P(l)l-1-. Unlike in the Zhang model, the site at which each rod is dropped is chosen randomly. We confirm that the growth of the rms surface width w with length scale L and time t is described by the scaling relation w(L,t)=Lw(t/L/), and we calculate the values of the surface-roughening exponents ± and . We find evidence supporting the possibility of a critical value cs5 for d=1 with ±=1/2 and =1/3 for >c, while for <c, ± and vary smoothly, attaining the values ==1 for =2.

Original languageEnglish
Pages (from-to)7113-7116
Number of pages4
JournalPhysical Review A
Issue number12
Publication statusPublished - jan. 1 1991


ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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