Anisotropic Surface Growth Model in Disordered Media

TL;DR

This paper presents a new anisotropic surface growth model in disordered media, revealing directional differences in surface correlations and linking to the anisotropic quenched KPZ equation.

Contribution

Introduces a self-organized anisotropic surface growth model in 2+1 dimensions with avalanche dynamics, connecting it to the anisotropic quenched KPZ universality class.

Findings

Surface height correlations scale differently in each direction.

Anisotropic behavior arises from asymmetric quenched KPZ dynamics.

Model suggests distinct universality class for anisotropic surface growth.

Abstract

We introduce a self-organized surface growth model in 2+1 dimensions with anisotropic avalanche process, which is expected to be in the universality class of the anisotropic quenched Kardar-Parisi-Zhang equation with alternative signs of the nonlinear KPZ terms. It turns out that the surface height correlation functions 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.