KRBÁLEK, M., F. ŠEBA, and M. KRBÁLKOVÁ. Super-random states in vehicular traffic — Detection & explanation. Physica A: Statistical Mechanics and Its Applications. 2022, 585 1-14. ISSN 0378-4371. DOI 10.1016/j.physa.2021.126418.
This article deals with specific states of traffic flow on a two-lane freeway, in which statistical fluctuations of microscopic quantities (inter-vehicle gaps) are significantly higher than in systems with absolutely random events (Poisson systems). These anomalous states (super-random) are detected in empirical traffic data, specifically in the fast lane at traffic densities up to 25 vehicles per kilometer. The origin of these states is then explained mathematically (using the theory of balance particle systems and tools of random matrix theory), physically (by means of an one-dimensional particle gas subjected to local perturbations caused by overtaking cars) and empirically (using an analogy with phenomena observed in photon counting experiments). In the article we show that overtaking maneuvers, when vehicles from a slow lane are injected into a fast-lane stream of faster moving vehicles, disrupt a local balance in microstructure of fast-lane stream and cause atypical arrangement of vehicular positions, that is very rare, generally. With help of original numerical model we demonstrate that the anomalous states detected are identical to equilibrium states formed in a stochastic particle gas with a potential containing, in addition to a repulsive component, also an attractive component.
eng
dc.format.mimetype
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
dc.relation.ispartof
Physica A: Statistical Mechanics and Its Applications
dc.subject
Vehicular traffic
eng
dc.subject
Super-Poissonian states
eng
dc.subject
Vehicular headway modeling
eng
dc.subject
Statistical rigidity
eng
dc.subject
Vehicular bunching
eng
dc.subject
Random matrix theory
eng
dc.title
Super-random states in vehicular traffic — Detection & explanation
info:eu-repo/grantAgreement/Technology Agency of the Czech Republic/CK/CK01000152/CZ/Advanced mathematical-physical methods for modeling of traffic flow microstructure/AdMath4Traffic