A thermodynamic theory is formulated to describe the phase transition and critical phenomenon in traffic flow. Based on the two-velocity difference model, the time-dependent Ginzburg-Landau （TDGL） equation under cer...A thermodynamic theory is formulated to describe the phase transition and critical phenomenon in traffic flow. Based on the two-velocity difference model, the time-dependent Ginzburg-Landau （TDGL） equation under certain condition is derived to describe the traffic flow near the critical point through the nonlinear analytical 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. The modified Korteweg- de Vries （mKdV） equation around the critical point is derived by using the reductive perturbation method and its kink antikink solution is also obtained. The relation between the TDGL equation and the mKdV equation is shown. The simulation result is consistent with the nonlinear analytical result.展开更多
在次邻近车辆速度差模型(Two Velocity Difference Model,TVDM)的基础上,提出了一个扩展的交通流模型,即加速度与次邻近车辆速度差模型(Acceleration and Two Velocity Difference Model,ATVDM)。线性稳定性分析表明:和TVDM相比,ATVDM...在次邻近车辆速度差模型(Two Velocity Difference Model,TVDM)的基础上,提出了一个扩展的交通流模型,即加速度与次邻近车辆速度差模型(Acceleration and Two Velocity Difference Model,ATVDM)。线性稳定性分析表明:和TVDM相比,ATVDM模型可以使交通流的稳定性得到增强,稳定区域有明显增加。数值模拟结果表明ATVDM不仅可以成功预测车辆运动延迟时间和启动波波速,还可以避免急刹车情况下事故的发生。展开更多
基金Project supported by the National Natural Science Foundation of China (Grant Nos. 11072117,10802042,and 60904068)the Natural Science Foundation of Zhejiang Province of China (Grant No.Y6100023)+1 种基金the Natural Science Foundation of Ningbo City(Grant No.2009B21003)K.C.Wong Magna Fund in Ningbo University
文摘A thermodynamic theory is formulated to describe the phase transition and critical phenomenon in traffic flow. Based on the two-velocity difference model, the time-dependent Ginzburg-Landau （TDGL） equation under certain condition is derived to describe the traffic flow near the critical point through the nonlinear analytical 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. The modified Korteweg- de Vries （mKdV） equation around the critical point is derived by using the reductive perturbation method and its kink antikink solution is also obtained. The relation between the TDGL equation and the mKdV equation is shown. The simulation result is consistent with the nonlinear analytical result.
文摘在次邻近车辆速度差模型(Two Velocity Difference Model,TVDM)的基础上,提出了一个扩展的交通流模型,即加速度与次邻近车辆速度差模型(Acceleration and Two Velocity Difference Model,ATVDM)。线性稳定性分析表明:和TVDM相比,ATVDM模型可以使交通流的稳定性得到增强,稳定区域有明显增加。数值模拟结果表明ATVDM不仅可以成功预测车辆运动延迟时间和启动波波速,还可以避免急刹车情况下事故的发生。
