The 2–TASEP (Two-Species Totally Asymmetric Simple Exclusion Process) is a natural multispecies generalization of the well-known TASEP. It involves two types of particles: one species moves exclusively to the right, the other to the left, with neighboring particles of different species exchanging positions upon encounter.
In this talk, I will first discuss results related to the stationary measure of the model on a finite strip with integrable boundary conditions. Next, I will explore an alternative interpretation of the model's dynamics, where the left-moving particles are viewed as empty sites, while the original empty sites represent impurities. In this framework, I will address questions concerning the system's behavior in the presence of a single impurity on $\mathbb{Z}$. Work partially done in collaboration with Ali Zahra.
