Abstract
ABSTRACT We discuss the existence and properties of nontrivial kinetic equilibria solutions for Enskog-type models of multilane traffic flow. Under certain conditions on driver behavior it is proved that only trivial (synchronized flow) equilibria exist. For a simple explicit form of driver behavior and a modification of the interaction terms by artificial diffusion terms, these trivial equilibria become smooth and can be computed by ODE methods. Finally, a more realistic model for driver behavior is suggested, leading to diffusion terms which are consistent with the existence of trivial (synchronized flow) equilibria. Numerical tests reveal that the stable equilibria associated with this behavior include bimodal equilibria for certain parameter choices, consistent with real traffic observations.
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