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《Journal of Anqing Normal University(Natural Science Edition)》 2018-02
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Unidirectional Pedestrian Flow in an Extended Lattice Gas Model with Large Maximum Velocity

FEI Jingtai;CHEN Zhe;School of Mathematics and Computation Sciences, Anqing Normal University;  
In this paper, we propose a lattice gas model with large maximum velocity based on parallel update. In the simulation, when the drift strength D 1, the flow rate with large maximum velocity v_(max) 1 is higher than v_(max) = 1 and the critical density corresponding to the maximum flow rate is in good agreement with empirical results. With the increase of D,the critical density corresponding to the maximum flow rate always decreases. In the special case D=1, the fundamental diagram exhibits a typical reverse lambda structure as in vehicular flow. The density-flow rate curve has a phase transition at the critical density, where flow rate suddenly decreases and there is a phenomenon of "fast is slow" in pedestrian flow. The improved lattice gas model can better reveal some phenomena and laws of the traffic flow.
【Fund】: 安徽省高校自然科学基金(KJ2014A139)
【CateGory Index】: U491.226
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