One-Dimensional Partially Asymmetric Simple Exclusion Process on a Ring with a Defect Particle

TL;DR

This paper provides exact calculations of particle current, defect particle speed, and density profiles in a one-dimensional asymmetric exclusion process with a moving defect, revealing a phase diagram for correlation length.

Contribution

It introduces exact solutions for the effect of a moving defect in a partially asymmetric exclusion process on a ring, including phase diagram analysis.

Findings

Exact current and density profiles computed

Phase diagram for correlation length identified

Average and variance of density with open boundaries calculated

Abstract

The effect of a moving defect particle for the one-dimensional partially asymmetric simple exclusion process on a ring is considered. The current of the ordinary particles, the speed of the defect particle and the density profile of the ordinary particles are calculated exactly. The phase diagram for the correlation length is identified. As a byproduct, the average and the variance of the particle density of the one-dimensional partially asymmetric simple exclusion process with open boundaries are also computed.