Flow difference effect in the two-lane lattice hydrodynamic model

Wang Tao(王涛)^{a)b)}, Gao Zi-You(高自友)^{ b)†}, Zhao Xiao-Mei(赵小梅)^{b)}, Tian Jun-Fang(田钧方)^{b)}, and Zhang Wen-Yi(张文义)^{b)}

a College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266042, China; b MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China

Abstract By introducing a flow difference effect, a modified lattice two-lane traffic flow model is proposed, which is proved to be capable of improving the stability of traffic flow. Both the linear stability condition and the kink--antikink solution derived from the modified Korteweg--de Vries (mKdV) equation are analyzed. Numerical simulations verify the theoretical analysis. Furthermore, the evolution laws under different disturbances in the metastable region is studied.

(Equilibrium properties near critical points, critical exponents)

Fund: Project supported by the National Basic Research Program of China (Grant No. 2012CB725400), the National Natural Science Foundation of China (Grant Nos. 71131001, 71071012, and 11001143), and the Fundamental Research Funds for the Central Universities of China (Grant No. 2011YJS235).

Wang Tao(王涛), Gao Zi-You(高自友), Zhao Xiao-Mei(赵小梅), Tian Jun-Fang(田钧方), and Zhang Wen-Yi(张文义) Flow difference effect in the two-lane lattice hydrodynamic model 2012 Chin. Phys. B 21 070507

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