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

被引：24

作者：

Ge Hong-Xia ^{[1
]}

Cheng Rong-Jun ^{[2
]}

Lo Siu-Ming ^{[3
]}

机构：

[1] Ningbo Univ, Fac Maritime & Transportat, Ningbo 315211, Zhejiang, Peoples R China

[2] Zhejiang Univ, Ningbo Inst Technol, Ningbo 315100, Zhejiang, Peoples R China

[3] City Univ Hong Kong, Dept Civil & Architectural Engn, Hong Kong, Hong Kong, Peoples R China

来源：

CHINESE PHYSICS B | 2013年 / 22卷 / 07期

基金：

中国国家自然科学基金;

关键词：

pedestrian flow; lattice hydrodynamic model; time-dependent Ginzburg-Landau equation; JAMMING TRANSITION; DYNAMICS;

D O I：

10.1088/1674-1056/22/7/070507

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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.

引用

页数：5

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