Probabilistic Traffic Flow Breakdown in Stochastic Car Following Models

dc.contributor.authorJost, Dominic
dc.contributor.authorNagel, Kai
dc.date.accessioned2019-03-01T14:20:49Z
dc.date.available2019-03-01T14:20:49Z
dc.date.issued2005
dc.description.abstractThere is discussion if traffic displays spontaneous breakdown. This paper presents computational evidence that stochastic car following models can have a control parameter that moves the model between displaying and not displaying spontaneous phase separation for some densities. Those phases can be called “laminar” and “jammed”. Models with spontaneous phase separation show three states as a function of density: a first state at low density, where those models are homogeneously laminar; a second state at high density, where they are homogeneously jammed; and a third state at intermediate density, where they consist of a mix between the two phases (phase coexistence). This is the same picture as for a gas-liquid transition when volume of the gas is the control parameter. Although the gas-liquid analogy to traffic models has been widely discussed, no traffic-related model so far displayed a completely understood stochastic version of that transition. Having a stochastic model is important to understand the potentially probabilistic nature of the transition. Most importantly, if indeed models with spontaneous phase separation describe certain aspects correctly, then this leads to an understanding of spontaneous breakdown. Alternatively, if models without spontaneous phase separation describe these aspects better, then there is no spontaneous breakdown (= no breakdown without a reason). Interestingly, even models without spontaneous phase separation can still allow for jam formation on small scales, which may give the impression of having a model with spontaneous phase separation.en
dc.identifier.isbn978-3-540-25814-8
dc.identifier.isbn978-3-540-28091-0
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/9176
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-8262
dc.language.isoen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subject.ddc380 Handel, Kommunikation, Verkehrde
dc.subject.othertraffic flow theoryen
dc.subject.othercar following modelsen
dc.subject.othertraffic breakdownen
dc.subject.othertraffic simulationen
dc.subject.otherphase transitionen
dc.subject.otherphase separationen
dc.subject.othercritical pointen
dc.titleProbabilistic Traffic Flow Breakdown in Stochastic Car Following Modelsen
dc.typeConference Objecten
dc.type.versionacceptedVersionen
dcterms.bibliographicCitation.doi10.1007/3-540-28091-X_9
dcterms.bibliographicCitation.editorHoogendoorn, Serge P.
dcterms.bibliographicCitation.editorLuding, Stefan
dcterms.bibliographicCitation.editorBovy, Piet H. L.
dcterms.bibliographicCitation.editorSchreckenberg, Michael
dcterms.bibliographicCitation.editorWolf, Dietrich E.
dcterms.bibliographicCitation.originalpublishernameSpringeren
dcterms.bibliographicCitation.originalpublisherplaceBerlin, Heidelbergde
dcterms.bibliographicCitation.pageend103
dcterms.bibliographicCitation.pagestart87
dcterms.bibliographicCitation.proceedingstitleTraffic and Granular Flow ’03en
tub.accessrights.dnbdomain
tub.affiliationFak. 5 Verkehrs- und Maschinensysteme::Inst. Land- und Seeverkehr (ILS)::FG Verkehrssystemplanung und Verkehrstelematikde
tub.affiliation.facultyFak. 5 Verkehrs- und Maschinensystemede
tub.affiliation.groupFG Verkehrssystemplanung und Verkehrstelematikde
tub.affiliation.instituteInst. Land- und Seeverkehr (ILS)de
tub.publisher.universityorinstitutionTechnische Universität Berlinde

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