2000 character limit reached
The Aw-Rascle traffic model: Enskog-type kinetic derivation and generalisations (1906.10665v1)
Published 25 Jun 2019 in cond-mat.stat-mech, cs.NA, math.NA, and physics.soc-ph
Abstract: We study the derivation of second order macroscopic traffic models from kinetic descriptions. In particular, we recover the celebrated Aw-Rascle model as the hydrodynamic limit of an Enskog-type kinetic equation out of a precise characterisation of the microscopic binary interactions among the vehicles. Unlike other derivations available in the literature, our approach unveils the multiscale physics behind the Aw-Rascle model. This further allows us to generalise it to a new class of second order macroscopic models complying with the Aw-Rascle consistency condition, namely the fact that no wave should travel faster than the mean traffic flow.