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

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

2003-10-29

arxiv.org/abs/cond-mat/0310680v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

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 $p_1$ while particles occupying a periodically arranged set of sites move to the right at rate $p_2$. 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.

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