title: Criterion for condensation in kinetically constrained one-dimensional transport models.
abstract: 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.
authors.affiliation: Institute of Physics, University of Amsterdam, P.O. Box 94485, 1090 GL Amsterdam, The Netherlands.
authors.forename: D M
authors.initials: DM
authors.lastname: Miedema
authors.affiliation: Department of Physics, Stockholm University, 10691 Stockholm, Sweden.
authors.forename: A S
authors.initials: AS
authors.lastname: de Wijn
authors.affiliation: Institute of Physics, University of Amsterdam, P.O. Box 94485, 1090 GL Amsterdam, The Netherlands.
authors.forename: P
authors.initials: P
authors.lastname: Schall
mesh_terms: D003102:Colloids / Q000737:chemistry*; D003198:Computer Simulation; D004058:Diffusion; D005740:Gases / Q000737:chemistry*; D007700:Kinetics; D008956:Models, Chemical; D015233:Models, Statistical; D012212:Rheology / Q000379:methods*
chemical_list: D003102:Colloids; D005740:Gases