Multi species asymmetric simple exclusion process with impurity activated flips

TL;DR

This paper derives an exact steady state solution for a multi-species asymmetric exclusion process with impurities and flip dynamics, revealing complex behaviors like negative differential mobility and correlation transitions.

Contribution

It introduces an exactly solvable model incorporating impurity-activated flips in multi-species exclusion processes, providing analytical insights into non-ergodic dynamics.

Findings

Observation of negative differential mobility

Transition of correlations from negative to positive

Exact steady state solutions for specific initial configurations

Abstract

We obtain an exact matrix product steady state for a class of multi species asymmetric simple exclusion process with impurities, under periodic boundary condition. Alongside the usual hopping dynamics, an additional flip dynamics is activated only in the presence of impurities. Although the microscopic dynamics renders the system to be non-ergodic, exact analytical results for observables are obtained in steady states for a specific class of initial configurations. Interesting physical features including negative differential mobility and transition of correlations from negative to positive with changing vacancy density, have been observed. We discuss plausible connections of this exactly solvable model with multi lane asymmetric simple exclusion processes as well as enzymatic chemical reactions.