Dynamics in phase transitions of TASEP coupled with multi-lane SEPs

Abstract

In this paper, we study a traffic model constituted by totally asymmetric simple exclusion process (TASEP) and two-lane simple exclusion processes (SEP). Then we generalize it to study TASEP coupled with multiple SEP lanes. Numerical results by the mean-field approximation have been presented to show the dynamics of TASEP competing with multi-lane SEPs. Complemented by simulation results, numerical results show that phase diagrams and current diagrams qualitatively vary with current splitting parameter \({\theta _i}\), hopping rate \({D_i}\) (\({D'_i}\)) and the global density \(n_{\mathrm{p}}\).