Exact Current Statistics of the ASEP with Open Boundaries

TL;DR

This paper provides exact analytical formulas for the full current statistics in the finite-size open ASEP, a key model for non-equilibrium transport, validated by numerical DMRG methods.

Contribution

It derives the complete current statistics for the open ASEP for all parameters, advancing understanding of non-equilibrium steady states.

Findings

Exact formulas for current statistics in open ASEP

Validation of analytical results with DMRG simulations

Comprehensive analysis across all parameter regimes

Abstract

Non-equilibrium systems are often characterized by the transport of some quantity at a macroscopic scale, such as, for instance, a current of particles through a wire. The Asymmetric Simple Exclusion Process (ASEP) is a paradigm for non-equilibrium transport that is amenable to exact analytical solution. In the present work, we determine the full statistics of the current in the finite size open ASEP for all values of the parameters. Our exact analytical results are checked against numerical calculations using DMRG techniques.