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

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.