The phase diagram for a multispecies left-permeable asymmetric exclusion process

TL;DR

This paper analyzes a multispecies asymmetric exclusion process with open boundaries, revealing complex phase behavior, including dynamical expulsion of species, using exact solutions and simulations to explain density profiles with interacting shocks.

Contribution

It provides the first comprehensive phase diagram for a multispecies LPASEP and explains density profiles through interacting shocks, extending previous single-species results.

Findings

Multiple phases identified in the phase diagram.

Dynamical expulsion of species observed in most phases.

Density profiles explained by interacting shocks.

Abstract

We study a multispecies generalization of a left-permeable asymmetric exclusion process (LPASEP) in one dimension with open boundaries. We determine all phases in the phase diagram using an exact projection to the LPASEP solved by us in a previous work. In most phases, we observe the phenomenon of dynamical expulsion of one or more species. We explain the density profiles in each phase using interacting shocks. This explanation is corroborated by simulations.