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

Abstract

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 is identified, above which the disappearance as well as the appearance of certain phases is observed. Moreover, synchronization of shocks also occurs for . 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.