From Microscopic to Macroscopic Traffic Models

Details From Microscopic to Macroscopic Traffic Models From Microscopic to Macroscopic Traffic Models

1998-06-14

arxiv.org/abs/cond-mat/9806171v1

Pages 122-139 in: J. Parisi, S. C. Muller, and W. Zimmermann (eds.) A Perspective Look at Nonlinear Media. From Physics to Bio

Physics

Condensed Matter

Statistical Mechanics

For related work see http://www.theo2.physik.uni-stuttgart.de/helbing.html

Scientific paper

10.1007/BFb0104959

The paper presents a systematic derivation of macroscopic equations for freeway traffic flow from an Enskog-like kinetic approach. The resulting fluid-dynamic traffic equations for the spatial density, average velocity, and velocity variance of vehicles are compared to equations, which can be obtained from a microscopic force model of individual vehicle motion. Simulation results of the models are confronted with empirical traffic data.

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