Structure and Instability of High-Density Equations for Traffic Flow

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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

Scientific paper

10.1103/PhysRevE.57.6176

Similar to the treatment of dense gases, fluid-dynamic equations for the dynamics of congested vehicular traffic are derived from Enskog-like kinetic equations. These contain additional terms due to the anisotropic vehicle interactions. The calculations are carried out up to Navier-Stokes order. A linear instability analysis indicates an additional kind of instability compared to previous macroscopic traffic models. The relevance for describing granular flows is outlined.

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