Directed-polymer and ballistic-deposition growth with correlated noise

Chung Kang Peng, Shlomo Havlin, Moshe Schwartz, H. Eugene Stanley

Research output: Contribution to journalArticlepeer-review

109 Scopus citations


We present numerical studies of the effect of long-range correlated noise on (i) the nonlinear Kardar, Parisi, and Zhang (KPZ) stochastic differential equation and the related problem of directed-polymer (DP) growth, and (ii) the ballistic-deposition (BD) model. The results for the KPZ and DP models are consistent with each other, and agree better with one recent theoretical prediction of Hentschel and Family [Phys. Rev. Lett. 66, 1982 (1991)] than with other theoretical predictions. Contrary to the general belief that BD is described by the KPZ equation, we find the surprising result that BD with correlated noise belongs to a different universality class than the KPZ equation.

Original languageEnglish
Pages (from-to)R2239-R2242
JournalPhysical Review A
Issue number4
StatePublished - 1991
Externally publishedYes


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