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Main Title: Probabilistic Traffic Flow Breakdown in Stochastic Car Following Models
Author(s): Jost, Dominic
Nagel, Kai
Type: Conference Object
Language Code: en
Abstract: There 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.
Issue Date: 2005
Date Available: 1-Mar-2019
DDC Class: 380 Handel, Kommunikation, Verkehr
Subject(s): traffic flow theory
car following models
traffic breakdown
traffic simulation
phase transition
phase separation
critical point
Proceedings Title: Traffic and Granular Flow ’03
Editor: Hoogendoorn, Serge P.
Luding, Stefan
Bovy, Piet H. L.
Schreckenberg, Michael
Wolf, Dietrich E.
Publisher: Springer
Publisher Place: Berlin, Heidelberg
Publisher DOI: 10.1007/3-540-28091-X_9
Page Start: 87
Page End: 103
ISBN: 978-3-540-25814-8
Appears in Collections:FG Verkehrssystemplanung und Verkehrstelematik » Publications

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