Current large deviation function for the open asymmetric simple exclusion process

TL;DR

This paper investigates the current fluctuations in the one-dimensional open asymmetric exclusion process, providing a conjectured exact large deviation function for the current at the first site in different phases.

Contribution

It offers a conjectured exact expression for the large deviation function of the current in the open ASEP, extending understanding of current fluctuations in this model.

Findings

Conjectured an exact form of the large deviation function for the current.

Analyzed current statistics in low and high density phases.

Identified phase-dependent behavior of current fluctuations.

Abstract

We consider the one dimensional asymmetric exclusion process with particle injection and extraction at two boundaries. The model is known to exhibit four distinct phases in its stationary state. We analyze the current statistics at the first site in the low and high density phases. In the limit of infinite system size, we conjecture an exact expression for the current large deviation function.