中国物理B ›› 2013, Vol. 22 ›› Issue (7): 70507-070507.doi: 10.1088/1674-1056/22/7/070507
葛红霞a, 程荣军b, 卢兆明c
Ge Hong-Xia (葛红霞)a, Cheng Rong-Jun (程荣军)b, Lo Siu-Ming (卢兆明)c
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. And 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.
中图分类号: (Phase transitions: general studies)