Hydrodynamic behavior of the 2-TASEP

We address the question of the large scale or hydrodynamic behavior of a 2-species generalization of TASEP (2-TASEP), consisting of two kinds of particles, moving in opposite directions and swapping their positions. We compute the rarefaction and shock solutions of the hydrodynamic equations of the model, showing that these equations form a Temple class system. We solve completely the Riemann problem and compare the theoretical prediction to Monte Carlo simulations.