Presence of Many Stable Nonhomogeneous States in an Inertial Car-Following Model

Details Presence of Many Stable Nonhomogeneous States in an Inertial Car-Following Model Presence of Many Stable Nonhomogeneous States in an Inertial Car-Following Model

2000-01-17

arxiv.org/abs/cond-mat/0001224v1

Phys. Rev. Lett., 84, p.382 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.84.382

A new single lane car following model of traffic flow is presented. The model is inertial and free of collisions. It demonstrates experimentally observed features of traffic flow such as the existence of three regimes: free, fluctuative (synchronized) and congested (jammed) flow; bistability of free and fluctuative states in a certain range of densities, which causes the hysteresis in transitions between these states; jumps in the density-flux plane in the fluctuative regime and gradual spatial transition from synchronized to free flow. Our model suggests that in the fluctuative regime there exist many stable states with different wavelengths, and that the velocity fluctuations in the congested flow regime decay approximately according to a power law in time.

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