Inactive dynamical phase of a symmetric exclusion process on a ring

TL;DR

This paper studies the inactive phase of a symmetric exclusion process on a ring, revealing how particles cluster into a kink as activity decreases, with explicit characterization of dynamical regimes and finite size effects.

Contribution

It provides a detailed analysis of the inactive phase, including the formation of a density kink and explicit determination of dynamical regimes and finite size effects.

Findings

Particles form a kink in the density profile during inactivity

All dynamical regimes are explicitly characterized

Finite size effects are analyzed and described

Abstract

We investigate the nature of the dynamically inactive phase of a simple symmetric exclusion process on a ring. We find that as the system's activity is tuned to a lower-than-average value the particles progressively lump into a single cluster, thereby forming a kink in the density profile. All dynamical regimes, and their finite size range of validity, are explicitly determined.