Dynamics in phase transitions of TASEP coupled with multi-lane SEPs |
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Authors: | Yu-Qing Wang Rui Jiang Qing-Song Wu |
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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 |
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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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