期刊
CHINESE PHYSICS B
卷 22, 期 7, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1674-1056/22/7/070507
关键词
pedestrian flow; lattice hydrodynamic model; time-dependent Ginzburg-Landau equation
资金
- National Natural Science Foundation of China [11072117, 61074142]
- Natural Science Foundation of Zhejiang Province, China [Y6110007]
- Scientific Research Fund of Zhejiang Provincial Education Department, China [Z201119278]
- Natural Science Foundation of Ningbo, China [2012A610152, 2012A610038]
- K. C. Wong Magna Fund in Ningbo University, China
- Research Grant Council, Government of the Hong Kong Administrative Region, China [CityU9041370, CityU9041499]
A thermodynamic theory is formulated to describe the phase transition and critical phenomena in pedestrian flow. Based on the extended lattice hydrodynamic pedestrian model taking the interaction of the next-nearest-neighbor persons into account, the time-dependent Ginzburg-Landau (TDGL) equation is derived to describe the pedestrian flow near the critical point through the nonlinear analysis method. The corresponding two solutions, the uniform and the kink solutions, are given. The coexisting curve, spinodal line, and critical point are obtained by the first and second derivatives of the thermodynamic potential.
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