Anisotropic Surface Growth Model in Disordered Media

H. Jeong; B. Kahng; D. Kim

doi:10.1103/PhysRevLett.77.5094

Anisotropic Surface Growth Model in Disordered Media

H. Jeong, B. Kahng, and D. Kim

Phys. Rev. Lett. 77, 5094 – Published 16 December 1996

Abstract

We introduce a self-organized surface growth model in $2 + 1$ dimensions with an anisotropic avalanche process, which is expected to be in the universality class of the anisotropic quenched Kardar-Parisi-Zhang (KPZ) equation with alternative signs of the nonlinear KPZ terms. It turns out that the surface height correlation function in each direction scales distinctively. The anisotropic behavior is attributed to the asymmetric behavior of the quenched KPZ equation in $1 + 1$ dimensions with respect to the sign of the nonlinear KPZ term.

Received 24 June 1996

DOI:https://doi.org/10.1103/PhysRevLett.77.5094

Authors & Affiliations

H. Jeong¹, B. Kahng², and D. Kim¹

¹Center for Theoretical Physics and Department of Physics, Seoul National University, Seoul 151-742, Korea
²Department of Physics and Center for Advanced Materials and Devices, Kon-Kuk University, Seoul 143-701, Korea