Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-06-10
Physical Review E 57, 6176-6179 (1998)
Physics
Condensed Matter
Statistical Mechanics
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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