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.
The Aw-Rascle traffic model: Enskog-type kinetic derivation and generalisations / Dimarco, Giacomo; TOSIN, ANDREA. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 178:1(2020), pp. 178-210.
Titolo: | The Aw-Rascle traffic model: Enskog-type kinetic derivation and generalisations |
Autori: | |
Data di pubblicazione: | 2020 |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s10955-019-02426-w |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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DgTa-Aw-Rascle_Enskog-R1.pdf | 2. Post-print / Author's Accepted Manuscript | PUBBLICO - Tutti i diritti riservati | Visibile a tuttiVisualizza/Apri |
http://hdl.handle.net/11583/2765934