Domain wall delocalization, dynamics and fluctuations in an exclusion process with two internal states

TL;DR

This paper studies the transition where localized domain walls in a two-state exclusion process become delocalized, analyzing their behavior and fluctuations near the transition point through mean-field and analytic methods.

Contribution

It introduces a detailed analysis of domain wall delocalization in a two-lane exclusion process, combining mean-field theory with analytic results to describe the transition.

Findings

Delocalized domain walls form at the transition point.

Power-law scaling of domain wall width near the transition.

Analytic results agree with numerical simulations.

Abstract

We investigate the delocalization transition appearing in an exclusion process with two internal states resp. on two parallel lanes. At the transition, delocalized domain walls form in the density profiles of both internal states, in agreement with a mean-field approach. Remarkably, the topology of the system's phase diagram allows for the delocalization of a (localized) domain wall when approaching the transition. We quantify the domain wall's delocalization close to the transition by analytic results obtained within the framework of the domain wall picture. Power-law dependences of the domain wall width on the distance to the delocalization transition as well as on the system size are uncovered, they agree with numerical results.