Numerical study of a non-equilibrium interface model

TL;DR

This paper uses extensive simulations to study a one-dimensional non-equilibrium interface model, providing numerical evidence for theoretical predictions about interface fluctuations in both unbiased and biased noise conditions.

Contribution

It offers new numerical validation for the logarithmic correction in the unbiased case and confirms the KPZ-like behavior in the biased case through simulation.

Findings

Logarithmic correction to interface variance in unbiased case

Agreement with CVA predictions for biased case

Confirmation of KPZ-like L^(2/3) variance behavior

Abstract

We have carried out extensive computer simulations of one-dimensional models related to the low noise (solid-on-solid) non-equilibrium interface of a two dimensional anchored Toom model with unbiased and biased noise. For the unbiased case the computed fluctuations of the interface in this limit provide new numerical evidence for the logarithmic correction to the subnormal L^(1/2) variance which was predicted by the dynamic renormalization group calculations on the modified Edwards-Wilkinson equation. In the biased case the simulations are in close quantitative agreement with the predictions of the Collective Variable Approximation (CVA), which gives the same L^(2/3) behavior of the variance as the KPZ equation.