Directed-polymer and ballistic-deposition growth with correlated noise

Chung-Kang Peng; Shlomo Havlin; Moshe Schwartz; H. Eugene Stanley

doi:10.1103/PhysRevA.44.R2239

Rapid Communication

Directed-polymer and ballistic-deposition growth with correlated noise

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

Phys. Rev. A 44, R2239(R) – Published 1 August 1991

Abstract

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.

Received 28 January 1991

DOI:https://doi.org/10.1103/PhysRevA.44.R2239

Authors & Affiliations

Chung-Kang Peng

Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215

Shlomo Havlin

Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215
Physical Sciences Laboratory, Division of Computer Research and Technology, National Institutes of Health, Bethesda, Maryland 20892

Moshe Schwartz