The n-species PEP has hydrodynamics given by n coupled inviscid Burgers equations with Riemann invariants allowing explicit Riemann problem solutions, and the open system with special boundary rates exhibits 2n+1 boundary-induced phases analogous to ASEP.
Bahadoran, Hydrodynamics and Hydrostatics for a Class of Asym- metric Particle Systems with Open Boundaries, Commun
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Hydrodynamics and boundary-induced phase transitions in the $n$-species particle-exchange process
The n-species PEP has hydrodynamics given by n coupled inviscid Burgers equations with Riemann invariants allowing explicit Riemann problem solutions, and the open system with special boundary rates exhibits 2n+1 boundary-induced phases analogous to ASEP.