Multilane Asymmetric Exclusion Process with stationary Bernoulli measure

TL;DR

This paper analyzes a multilane asymmetric exclusion process with conserved particles, identifying conditions for stationary Bernoulli measures and deriving particle currents based on densities.

Contribution

It introduces specific hopping rate conditions ensuring Bernoulli stationary measures in a multilane exclusion process and computes the resulting particle currents.

Findings

Identified hopping rates that yield Bernoulli stationary measures.

Derived explicit formulas for stationary particle currents.

Demonstrated conservation of particle number across lanes.

Abstract

We consider an Asymmetric Exclusion Process evolving on parallel mutually interacting lanes with neighbouring nearest hoppings of hardcore particles. Number of particles on each lane is conserved. We find a choice of the hopping rates, for which the process has Bernouilli stationary product measure, and calculate the stationary particle currents as a function of average particle densities.