Damage Spreading in a Driven Lattice Gas Model

TL;DR

This study investigates how damage propagates in a driven lattice gas model, revealing that damage always spreads and saturates, with the extent depending on temperature and phase, influenced by interface roughness.

Contribution

It provides a detailed analysis of damage spreading in the DLG model across different temperatures and external fields, highlighting the role of phase transitions and interface roughness.

Findings

Damage always spreads for all temperatures studied.

Saturation damage depends only on temperature, not system size.

Damage behavior is similar across finite and infinite driving fields.

Abstract

We studied damage spreading in a Driven Lattice Gas (DLG) model as a function of the temperature $T$, the magnitude of the external driving field $E$, and the lattice size. The DLG model undergoes an order-disorder second-order phase transition at the critical temperature $T_c(E)$, such that the ordered phase is characterized by high-density strips running along the direction of the applied field; while in the disordered phase one has a lattice-gas-like behaviour. It is found that the damage always spreads for all the investigated temperatures and reaches a saturation value $D_{sat}$ that depends only on $T$. $D_{sat}$ increases for $T<T_c(E=\infty)$, decreases for $T>T_c(E=\infty)$ and is free of finite-size effects. This behaviour can be explained as due to the existence of interfaces between the high-density strips and the lattice-gas-like phase whose roughness depends on $T$. Also, we investigated damage spreading for a range of finite fields as a function of $T$, finding a behaviour similar to that of the case with $E=\infty$.