The time-dependent Ginzburg-Landau equation for car-following model considering anticipation-driving behavior

In this paper, a car-following model considering anticipation-driving behavior is considered to describe the traffic jam. The nature of the model is investigated using linear and nonlinear analysis method. A thermodynamic theory is formulated for describing the phase transitions and critical phenomena, and the time-dependent Ginzburg-Landau equation is derived to describe traffic flow near the critical point.