Steady-state dynamics of an inhomogeneous two-channel TASEP with Langmuir kinetics

Isha Dhiman and Arvind Kumar Gupta ()
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Isha Dhiman: School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, Punjab, India
Arvind Kumar Gupta: Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar 140001, Punjab, India

International Journal of Modern Physics C (IJMPC), 2018, vol. 29, issue 04, 1-20

Abstract: The steady-state dynamics of a two-channel TASEP coupled with Langmuir kinetics in the presence of a localized bottleneck are investigated under a fully asymmetric lane-changing rule. A hybrid mean-field approach is adopted to generate the density profiles as well as phase diagrams. The effect of lane-changing rate and strength of bottleneck on the stationary dynamics of the system has also been investigated. It is observed that an increase in lane-changing rate weakens the effect of bottleneck. As a part of studying the shock dynamics, we have identified and analyzed turning effect in the movement of shock with respect to lane-changing rate. Our theoretical arguments are in good agreement with extensively performed Monte-Carlo simulations.

Keywords: Two-channel; bottleneck; phase transitions; Monte-Carlo simulations (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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DOI: 10.1142/S0129183118500377

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