Time-dependent Ginzburg-Landau equation for lattice hydrodynamic model describing pedestrian flow  

Time-dependent Ginzburg-Landau equation for lattice hydrodynamic model describing pedestrian flow

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作  者:葛红霞 程荣军 卢兆明 

机构地区:[1]Faculty of Maritime and Transportation,Ningbo University [2]Ningbo Institute of Technology,Zhejiang University [3]Department of Civil and Architectural Engineering,City University of Hong Kong

出  处:《Chinese Physics B》2013年第7期104-108,共5页中国物理B(英文版)

基  金:the National Natural Science Foundation of China(Grant Nos.11072117 and 61074142);the Natural Science Foundation of Zhejiang Province,China(Grant No.Y6110007);the Scientific Research Fund of Zhejiang Provincial Education Department,China(Grant No.Z201119278);the Natural Science Foundation of Ningbo,China(Grant Nos.2012A610152 and 2012A610038);the K.C.Wong Magna Fund in Ningbo University,China;the Research Grant Council,Government of the Hong Kong Administrative Region,China(Grant Nos.CityU9041370 and CityU9041499)

摘  要: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.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.

关 键 词:pedestrian flow lattice hydrodynamic model time-dependent Ginzburg–Landau equation 

分 类 号:O35[理学—流体力学]

 

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