Power-Law Distribution and 1/f Noise of Waiting Time near Traffic-Jam Threshold
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The waiting-time distribution of cars at a fixed position is investigated near the dynamical jamming transition point (traffic-jam threshold) in the cellular automaton (CA) model of traffic flow with the use of computer simulation. The traffic-jam threshold separates the moving phase (in which all cars are moving) and the jamming phase (in which all cars are stopped). We show that the cumulative distribution F(Δt) of the waiting time Δt satisfies the scaling form F(Δt)=Δt^<-0.88±0.02>f_s(Δt/Δt_c) near the traffic-jam threshold where Δt_c is the crossover time, and the scaling function f_s(x) is a constant for x<1 and it decays exponentially for x≥1. We also find that the power spectrum of the waiting time exhibits the 1/f behavior near the traffic-jam threshold.
- 社団法人日本物理学会の論文
- 1993-08-15
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