Mapping of 2+1-dimensional Kardar-Parisi-Zhang growth onto a driven lattice gas model of dimer

TL;DR

This paper demonstrates a mapping between a 2+1D KPZ surface growth model and a 2D driven lattice gas of dimers, enabling more efficient simulations of surface growth phenomena.

Contribution

It introduces a novel mapping from a 2+1D KPZ growth model to a lattice gas of dimers, facilitating improved computational analysis.

Findings

Scaling exponents match between the dimer model and KPZ class

Numerical simulations confirm the validity of the mapping

The approach enables more efficient analysis of growth models

Abstract

We show that a 2+1 dimensional discrete surface growth model exhibiting Kardar-Parisi-Zhang (KPZ) class scaling can be mapped onto a two dimensional conserved lattice gas model of directed dimers. In case of KPZ height anisotropy the dimers follow driven diffusive motion. We confirm by numerical simulations that the scaling exponents of the dimer model are in agreement with those of the 2+1 dimensional KPZ class. This opens up the possibility of analyzing growth models via reaction-diffusion models, which allow much more efficient computer simulations.