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Criterion for condensation in kinetically constrained one-dimensional transport models
Stockholm University, Faculty of Science, Department of Physics.
2014 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 89, no 6, 062812- p.Article in journal (Refereed) Published
Abstract [en]

We study condensation in one-dimensional transport models with a kinetic constraint. The kinetic constraint results in clustering of immobile vehicles; these clusters can grow to macroscopic condensates, indicating the onset of dynamic phase separation between free-flowing and arrested traffic. We investigate analytically the conditions under which this occurs and derive a necessary and sufficient criterion for phase separation. This criterion is applied to the well-known Nagel-Schreckenberg model of traffic flow to analytically investigate the existence of dynamic condensates. We find that true condensates occur only when acceleration out of jammed traffic happens in a single time step, in the limit of strong overbraking. Our predictions are further verified with simulation results on the growth of arrested clusters. These results provide analytic understanding of dynamic arrest and dynamic phase separation in one-dimensional traffic and transport models.

Place, publisher, year, edition, pages
2014. Vol. 89, no 6, 062812- p.
National Category
Physical Sciences
URN: urn:nbn:se:su:diva-106593DOI: 10.1103/PhysRevE.89.062812ISI: 000338644100007OAI: diva2:737830


Available from: 2014-08-14 Created: 2014-08-12 Last updated: 2014-08-14Bibliographically approved

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de Wijn, Astrid S.
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