Two-channel totally asymmetric simple exclusion process with Langmuir kinetics: The role of coupling constant

In this letter, we study the dynamics of a coupled two-channel totally asymmetric simple exclusion process with particle attachment and detachment in the bulk. The coupling constant C, which signifies the ratio of lane-changing rates, is introduced and the steady-state dynamics of the system are analyzed for different values of C. Singular perturbation technique is used on continuum mean-field equations to construct the phase diagrams, which have been characterized in terms of C for all possible orders of lane-changing rates. It is found that for lower orders of lane-changing rates, the effect of C is minor; while the effect is significant for higher orders. A critical value of C-r = 0.1 is identified, above which the disappearance as well as the appearance of certain phases is observed. Moreover, synchronization of shocks also occurs for C >= Cr. We have also analyzed the effect of the system size on the Monte Carlo simulation results. Our theoretical arguments are in good agreement with Monte Carlo simulation results. Copyright (C) EPLA, 2014