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

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Detail(s)

Original languageEnglish
Article number70507
Journal / PublicationChinese Physics B
Volume22
Issue number7
Publication statusPublished - Jul 2013

Abstract

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. © 2013 Chinese Physical Society and IOP Publishing Ltd.

Research Area(s)

  • lattice hydrodynamic model, pedestrian flow, time-dependent Ginzburg-Landau equation