Asymmetries in Structure Factor Histograms

TL;DR

This paper studies the steady-state structure factor distributions in a three-state lattice gas under an electric field, revealing asymmetric exponential distributions through combined theoretical and simulation approaches.

Contribution

It introduces a detailed analysis of structure factor asymmetries in a three-state lattice gas using Langevin equations and Monte Carlo simulations, highlighting new insights into non-equilibrium steady states.

Findings

Structure factors follow asymmetric exponential distributions.

Simulation results agree with theoretical predictions.

Homogeneous configurations are stable against small perturbations.

Abstract

We investigate the dynamics of a three-state stochastic lattice gas, consisting of holes and two oppositely "charged" species of particles, under the influence of an "electric" field, at zero total charge. Interacting only through an excluded volume constraint, particles can hop to nearest neighbour empty sites. Using a combination of Langevin equations and Monte Carlo simulations, we study the probability distributions of the steady-state structure factors in the disordered phase where homogeneous configurations are stable against small harmonic perturbations. Simulation and theoretical results are in excellent agreement, both showing asymmetric exponential distributions.