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

Shingo Ichiki (), Jun Sato and Katsuhiro Nishinari
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Shingo Ichiki: Graduate School of Engineering, The University of Tokyo
Jun Sato: Research Center for Advanced Science and Technology, The University of Tokyo
Katsuhiro Nishinari: Research Center for Advanced Science and Technology, The University of Tokyo

The European Physical Journal B: Condensed Matter and Complex Systems, 2016, vol. 89, issue 5, 1-5

Abstract: 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 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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DOI: 10.1140/epjb/e2016-70192-5

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