Abstract: | Asymmetric exclusion processes (ASEP) have attracted much attention due to their rich and complex dynamic phase behaviors. This formalism describes particles hopping with hard-core repulsion along a 1D lattice. Such systems provide a good description of traffic flow, the kinetics of biopolymerization, polymer dynamics in dense media, diffusion through membrane channels, dynamics of motor proteins moving along rigid filaments, etc. On the one hand, ASEP can be solved exactly under certain circumstances. On the other hand, despite their simplicity, ASEP and related models show a range of nontrivial macroscopic phenomena, such as boundary induced phase transitions, spontaneous symmetry breaking, and phase separation. In this presentation, the basic concepts and various nonequilibrium phenomena of the ASEP will be introduced. In particular, the generalization of ASEP to networks will be highlighted. |