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Chin. Phys. B, 2012, Vol. 21(10): 108901    DOI: 10.1088/1674-1056/21/10/108901

Self-organized phenomena of pedestrian counter flow in a channel under periodic boundary conditions

Li Xiang (李翔)a, Duan Xiao-Yin (段晓茵)a, Dong Li-Yun (董力耘)a b
a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
b Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai 200072, China
Abstract  In this paper we investigate self-organized phenomena such as lane formation generated by pedestrian counter flow in a channel. The lattice gas model is extended to take the effect of walkers in the opposite direction into account simultaneously when they are in the view field of a walker, i.e., walkers tend to follow the leaders in the same direction and avoid conflicts with those walking towards them. The improved model is then used to mimic pedestrian counter flow in a channel under periodic boundary conditions. Numerical simulations show that lane formation is well reproduced, and this process is rather rapid which coincides with real pedestrian traffic. The average velocity and critical density are found to increase to some degree with the consideration of view field.
Keywords:  counter flow      lattice gas model      view field      lane formation  
Received:  01 March 2012      Revised:  16 April 2012      Accepted manuscript online: 
PACS:  89.40.Bb (Land transportation)  
  02.50.Cw (Probability theory)  
  05.50.+q (Lattice theory and statistics)  
Fund: Project partially supported by the National Basic Research Program of China (Grant No. 2012CB725404), the National Natural Science Foundation of China (Grant Nos. 10972135 and 11172164), the Innovation Program of Shanghai Municipal Education Commission, China (Grant No. 11YZ12), the Shanghai Program for Innovative Research Team in Universities, and the Program for Changjiang Scholars and Innovative Research Team in Universities, China (Grant No. IRT0844).
Corresponding Authors:  Dong Li-Yun     E-mail:

Cite this article: 

Li Xiang (李翔), Duan Xiao-Yin (段晓茵), Dong Li-Yun (董力耘) Self-organized phenomena of pedestrian counter flow in a channel under periodic boundary conditions 2012 Chin. Phys. B 21 108901

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