Steady-State Properties of a Totally Asymmetric Exclusion Process with Periodic Structure

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We formulate and analyze the steady-state behavior of totally asymmetric simple exclusion processes (TASEPs) that contain periodically varying movement rates. In our models, particles at a majority sites hop to the right with rate p₁ while particles occupying a periodically arranged set of sites move to the right at rate p₂. A number of approximate mean field approaches are used to study the steady-state currents and bulk densities of this model. While exact solutions are not found, the mean field approaches provide results that show good agreement with data derived from extensive Monte-Carlo simulations.