Exclusion process on an open lattice with fluctuating boundaries

TL;DR

This paper demonstrates the equivalence between a driven particle system with interactions and fluctuating boundaries and a monomer-based model, providing analytical and simulation results for current profiles.

Contribution

It introduces a novel mapping between interacting particle systems of arbitrary size and a monomer-based model with fluctuating boundaries, supported by mean-field theory and simulations.

Findings

Current profiles depend on interaction strength.

Monte Carlo simulations match theoretical predictions.

The model captures boundary fluctuations and particle interactions.

Abstract

We show that the TASEP of a driven system of particles of arbitrary size, with nearest neighbor repulsive interaction, on an open lattice is equivalent to the TASEP of interacting monomers on an open lattice whose size fluctuates in response to the entry and exit of particles. We have presented the maximal current profile as a function of the interaction strength for dimers and tetramers, obtained in Monte Carlo simulation; the results agree well with the ones computed by applying a specific rod-to-monomer mapping to the steady state current and density predicted by a mean-field theory of interacting monomers which adapts a Markov Chain approach for incorporating nearest-neighbor correlations.