Towards a Macroscopic Modelling of the Complexity in Traffic Flow

Details Towards a Macroscopic Modelling of the Complexity in Traffic Flow Towards a Macroscopic Modelling of the Complexity in Traffic Flow

2001-10-04

arxiv.org/abs/cond-mat/0110101v1

Physics

Condensed Matter

Statistical Mechanics

submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.65.036106

We present a macroscopic traffic flow model that extends existing fluid-like models by an additional term containing the second derivative of the safe velocity. Two qualitatively different shapes of the safe velocity are explored: a conventional Fermi-type function and a function exhibiting a plateau at intermediate densities. The suggested model shows an extremely rich dynamical behaviour and shows many features found in real-world traffic data.

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