TY - JOUR
T1 - Time-dependent Ginzburg - Landau equation for lattice hydrodynamic model describing pedestrian flow
AU - Ge, Hong-Xia
AU - Cheng, Rong-Jun
AU - Lo, Siu-Ming
PY - 2013/7
Y1 - 2013/7
N2 - 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.
AB - 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.
KW - lattice hydrodynamic model
KW - pedestrian flow
KW - time-dependent Ginzburg-Landau equation
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U2 - 10.1088/1674-1056/22/7/070507
DO - 10.1088/1674-1056/22/7/070507
M3 - RGC 21 - Publication in refereed journal
SN - 1674-1056
VL - 22
JO - Chinese Physics B
JF - Chinese Physics B
IS - 7
M1 - 70507
ER -