旋节
金茨堡-兰道理论
临界点(数学)
统计物理学
格子(音乐)
物理
非线性系统
相变
流量(数学)
临界现象
行人
临界指数
数学
热力学
机械
数学分析
相(物质)
凝聚态物理
量子力学
工程类
超导电性
运输工程
声学
出处
期刊:中国物理B:英文版
日期:2013-01-01
卷期号: (7): 104-108
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.
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