Asymmetric Exclusion Processes with Non-Factorizing Steady States

Abstract

The asymmetric simple exclusion process (ASEP) with periodic boundary conditions is investigated for shuffled dynamics. In this type of update, in each discrete timestep all particles are updated in a random sequence. It is shown that in contrast to all other updates studied previously, the ASEP with shuffled update does not have a product measure steady state apart from some simple limits. Approximative formulas for the steady-state distribution and fundamental diagram are derived that are in very good agreement with simulation data.