Totally asymmetric simple exclusion process on a periodic lattice with Langmuir kinetics depending on the occupancy of the forward neighboring site

Regular Article

Abstract

We generalize the totally asymmetric simple exclusion process with Langmuir kinetics on a periodic lattice. In the extended model, the rates of attachment and detachment depend on the occupancy of the forward neighboring site. Using a mean-field theory, we obtain the analytical expression of the density profile in the steady state and the relaxation dynamics in our model. We verify their accuracy by comparing the results with Monte Carlo simulations.

Keywords

Statistical and Nonlinear Physics 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of Advanced Interdisciplinary StudiesGraduate School of Engineering, The University of TokyoTokyoJapan
  2. 2.Research Center for Advanced Science and Technology, The University of TokyoTokyoJapan
  3. 3.Department of Aeronautics and AstronauticsGraduate School of Engineering, The University of TokyoTokyoJapan

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