Recent developments in totally asymmetric simple exclusion processes with local inhomogeneity

A totally asymmetric simple exclusion process (TASEP) has become an essential tool in modeling and analyzing non-equilibrium systems. A wide variety of TASEP models have been developed that are motivated by real-world traffic, biological transport and by the dynamics of the process itself. This paper provides an overview of recent developments in TASEP with inhomogeneity. Some important generalizations and extensions of inhomogeneous TASEP models are reviewed, and several popular mean-field techniques used to analyze the inhomogeneous TASEP models are summarized. A comparison between similar TASEP models under different updating procedures is given. Phase separations in such disordered systems have been identified. The present status of the inhomogeneous TASEP models and areas for future investigations are also described.