Stochastic Boundary Conditions in the Nagel-Schreckenberg Traffic Model

S. Cheybani, J. Kertész and M. Schreckenberg
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S. Cheybani: Gerhard-Mercator-Universität, Physik von Transport und Verkehr
J. Kertész: Technical University of Budapest, Department of Theoretical Physics
M. Schreckenberg: Gerhard-Mercator-Universität, Physik von Transport und Verkehr

A chapter in Traffic and Granular Flow ’99, 2000, pp 443-448 from Springer

Abstract: Abstract We consider the generalization of the asymmetric exclusion model (ASEP) with parallel update where cars can move with velocities v ≤ wmax and vmax > 1. For stochastic open boundary conditions we find a line of a first-order transition separating the free flow phase from the jammed phase. For maximum velocities Vmax ≥ 3 so-called “buffers” develop due to the hindrance an injected car feels from the front car at the beginning of the system. As a consequence, the phase diagram qualitatively differs from that for Vmax ≤ 2.

Keywords: Free Flow; Extinction Rate; Finite Size Effect; Global Density; Asymmetric Exclusion Process (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1007/978-3-642-59751-0_48

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