Identifying Traffic Jamming by the Spatiotemporal Correlation Function

In this paper, we identify the traffic jamming in SDNaSch and First-noise traffic model by the spatiotemporal correlation functions, respectively. The correlation in the first model shows the sharp change rather than a crossover type. It indicates the transition from freely moving to jammed traffic. The correlation function of the second model shows rather complicated oscillating behaviors without the sharply changing. It implies the transition from freely moving cross over to jammed traffic.