Matrix product solution to multi-species ASEP with open boundaries

TL;DR

This paper derives an exact matrix product solution for the stationary state of a multi-species ASEP with open boundaries, enabling explicit computation of densities and currents for all species.

Contribution

It provides the first exact matrix product formulation for multi-species ASEP with non-trivial boundary interactions and calculates key physical quantities.

Findings

Exact stationary state expressed in matrix product form

Explicit formulas for densities and currents of all species

Normalisation of the stationary state computed

Abstract

We study a class of multi-species ASEP with open boundaries. The boundaries are chosen in such a way that all species of particles interact non-trivially with the boundaries and are present in the stationary state. We give the exact expression of the stationary state in a matrix product form and we compute its normalisation. Densities and currents for the different species are then computed in term of this normalisation.