The exact phase diagram for a class of multispecies asymmetric exclusion processes

We consider a multispecies asymmetric exclusion process (mASEP) with $r$ species of positively and negatively charged particles, and vacancies, on a finite interval. We derive the full $(r+2)$-dimensional nonequilibrium phase diagram of the mASEP and give a complete explanation of all its macroscopic features. We find two new nonequilibrium signatures: dynamical expulsion when the density of a particle type becomes zero throughout the system, and dynamical localization when the density of a particle type is nonzero only within a region far from the boundaries.