Phase fluctuations in the ABC model

TL;DR

This paper studies the fluctuations of steady state profiles in the ABC model's modulated phase, using fluctuating hydrodynamics and large deviations to predict variance, confirmed by simulations.

Contribution

It provides an analytical calculation of the variance of profile displacements in the ABC model, validated through numerical simulations.

Findings

Variance of steady state profile displacement computed analytically.

Analytical predictions confirmed by numerical simulations.

Profiles move on a microscopic time scale of order L^3.

Abstract

We analyze the fluctuations of the steady state profiles in the modulated phase of the ABC model. For a system of $L$ sites, the steady state profiles move on a microscopic time scale of order $L^3$. The variance of their displacement is computed in terms of the macroscopic steady state profiles by using fluctuating hydrodynamics and large deviations. Our analytical prediction for this variance is confirmed by the results of numerical simulations.