Nonequilibrium roughening transition by two-species particles

TL;DR

This paper introduces a one-dimensional interface growth model with two particle species that exhibits a nonequilibrium roughening transition, showing critical behavior related to the directed Ising universality class and directed percolation.

Contribution

The study presents a novel two-species particle growth model demonstrating a nonequilibrium roughening transition with critical behavior linked to known universality classes.

Findings

At criticality, the decay of vacant site density differs from DI behavior but has a similar dynamic exponent.

The model exhibits two absorbing states characteristic of the DI universality class.

An asymmetric version of the model aligns with directed percolation behavior.

Abstract

We introduce an interface growth model exhibiting a nonequilibrium roughening transition (NRT). In the model, particles consist of two species, and deposit or evaporate on one dimensional substrate according to a given dynamic rule. When the dynamics is limited to occur on monolayer, this model has two absorbing states, belonging to the directed Ising (DI) universality class. At criticality, the density of vacant sites at the bottom layer in the growth model decays faster than the DI behavior, however, the dynamic exponent is close to the DI value, suggesting that the dynamics is related to the DI universality class. We also consider an asymmetric version of the growth dynamics, which is according to the directed percolation behavior.