A Macroscopic Approach to the Lane Formation Phenomenon in Pedestrian Counterflow
XIONG Tao1, ZHANG Peng2**, WONG S. C.3, SHU Chi-Wang4, ZHANG Meng-Ping1
1Department of Mathematics, University of Science and Technology of China, Hefei 230026 2Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072 3Department of Civil Engineering, The University of Hong Kong, Hong Kong 4Division of Applied Mathematics, Brown University, Providence, RI 02912, USA
A Macroscopic Approach to the Lane Formation Phenomenon in Pedestrian Counterflow
XIONG Tao1, ZHANG Peng2**, WONG S. C.3, SHU Chi-Wang4, ZHANG Meng-Ping1
1Department of Mathematics, University of Science and Technology of China, Hefei 230026 2Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072 3Department of Civil Engineering, The University of Hong Kong, Hong Kong 4Division of Applied Mathematics, Brown University, Providence, RI 02912, USA
摘要We simulate pedestrian counterflow by adopting an optimal path-choice strategy and a recently observed speed-density relationship. Although the whole system is symmetric, the simulation demonstrates the segregation and formation of many walking lanes for two groups of pedestrians. The symmetry breaking is most likely triggered by a small numerical viscosity or "noise", and the segregation is associated with the minimization of travel time. The underlying physics can be compared with the "optimal self-organization" mechanism in Helbing's social force model, by which driven entities in an open system tend to minimize their interaction to enable them to reach some ordering state.
Abstract：We simulate pedestrian counterflow by adopting an optimal path-choice strategy and a recently observed speed-density relationship. Although the whole system is symmetric, the simulation demonstrates the segregation and formation of many walking lanes for two groups of pedestrians. The symmetry breaking is most likely triggered by a small numerical viscosity or "noise", and the segregation is associated with the minimization of travel time. The underlying physics can be compared with the "optimal self-organization" mechanism in Helbing's social force model, by which driven entities in an open system tend to minimize their interaction to enable them to reach some ordering state.
XIONG Tao;ZHANG Peng**;WONG S. C.;SHU Chi-Wang;ZHANG Meng-Ping
. A Macroscopic Approach to the Lane Formation Phenomenon in Pedestrian Counterflow[J]. 中国物理快报, 2011, 28(10): 108901-108901.
XIONG Tao, ZHANG Peng**, WONG S. C., SHU Chi-Wang, ZHANG Meng-Ping
. A Macroscopic Approach to the Lane Formation Phenomenon in Pedestrian Counterflow. Chin. Phys. Lett., 2011, 28(10): 108901-108901.
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