Boundary driven phase transitions of the first order for systems of conservation laws

We argue that a driven system with two particle species and hardcore interactions generically undergoes at least two different types of boundary-driven first-order phase transitions. One observes them in succession, bringing the system from a state with a small density of right-movers to a fully jammed state, by keeping one boundary fixed and changing gradually conditions at the other boundary. As in one-component systems, the phase transitions are caused by shock motion. Monte Carlo simulations and PDEs numerical integration of specific model serve as an example.