Multiple flux difference effect in the lattice hydrodynamic model

doi:10.1088/1674-1056/21/2/020512

中国物理B ›› 2012, Vol. 21 ›› Issue (2): 20512-020512.doi: 10.1088/1674-1056/21/2/020512

王涛¹ ²,高自友¹,赵小梅¹

收稿日期:2011-06-05 修回日期:2011-09-25 出版日期:2012-01-30 发布日期:2012-01-30
通讯作者: 高自友,zygao@bjtu.edu.cn;赵小梅,xmzhao@bjtu.edu.cn E-mail:zygao@bjtu.edu.cn;xmzhao@bjtu.edu.cn

Multiple flux difference effect in the lattice hydrodynamic model

Wang Tao(王涛)^a)b), Gao Zi-You(高自友)^a)†, and Zhao Xiao-Mei(赵小梅)^a)‡

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

Received:2011-06-05 Revised:2011-09-25 Online:2012-01-30 Published:2012-01-30
Contact: Gao Zi-You,zygao@bjtu.edu.cn;Zhao Xiao-Mei,xmzhao@bjtu.edu.cn E-mail:zygao@bjtu.edu.cn;xmzhao@bjtu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 70631001 and 71071012) and the Fundamental Research Funds for the Central Universities (Grant Nos. 2009JBM045 and 2011YJS235).

摘要/Abstract

Abstract: Considering the effect of multiple flux difference, an extended lattice model is proposed to improve the stability of traffic flow. The stability condition of the new model is obtained by using linear stability theory. The theoretical analysis result shows that considering the flux difference effect ahead can stabilize traffic flow. The nonlinear analysis is also conducted by using a reductive perturbation method. The modified KdV (mKdV) equation near the critical point is derived and the kink-antikink solution is obtained from the mKdV equation. Numerical simulation results show that the multiple flux difference effect can suppress the traffic jam considerably, which is in line with the analytical result.

Key words: flux difference, lattice hydrodynamic model, traffic flow, mKdV equation

中图分类号: (Phase transitions: general studies)

05.70.Fh

05.70.Jk (Critical point phenomena) 64.60.F- (Equilibrium properties near critical points, critical exponents)

王涛,高自友,赵小梅. [J]. 中国物理B, 2012, 21(2): 20512-020512.

Wang Tao(王涛), Gao Zi-You(高自友), and Zhao Xiao-Mei(赵小梅) . Multiple flux difference effect in the lattice hydrodynamic model[J]. Chin. Phys. B, 2012, 21(2): 20512-020512.

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Multiple flux difference effect in the lattice hydrodynamic model

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