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Dynamics in phase transitions of TASEP coupled with multi-lane SEPs
Authors:Yu-Qing Wang  Rui Jiang  Qing-Song Wu
Institution:1.School of Mechanical Engineering,Hefei University of Technology,Hefei,China;2.MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology,Beijing Jiaotong University,Beijing,China;3.School of Engineering Science,University of Science and Technology of China,Hefei,China
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 \(n_{\mathrm{p}}\).
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