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

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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… Click to show full 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 $${\theta _i}$$θi, hopping rate $${D_i}$$Di ($${D'_i}$$Di′) and the global density $$n_{\mathrm{p}}$$np.

Keywords: dynamics phase; multi lane; phase transitions; lane seps; tasep coupled

Journal Title: Nonlinear Dynamics
Year Published: 2017

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