Traffic flow of mobile objects through obstacles: Turning and translational objects

Akiyoshi Matsui, Takashi Mashiko and Takashi Nagatani

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 2, 157-173

Abstract: We study the unidirectional flow of mobile objects through obstacles on a square lattice. Two models are presented: one is the lattice gas model consisting of translational particles and the other is that of turning particles. Fundamental diagrams for the two models are presented. The traffic flow of translational particles is compared with that of turning particles. In the traffic flow of translational particles, the fundamental diagram shows a trapezoid shape in the random configuration of obstacles, while it shows a parabolic shape in the periodic configuration of obstacles. The traffic flow of turning particles with a back step shows a similar behavior to that of translational particles. In the traffic flow of turning particles without backward moves, the current becomes zero when the density is higher than a critical density. In the traffic flow of turning particles without a back step, the dynamical transition between free traffic and a perfectly jammed state occurs at the critical density, while dynamical transition does not occur in traffic flow of translational particles.

Keywords: Pedestrian flow; Traffic flow; Mobile object; Lattice gas model; Jamming transition (search for similar items in EconPapers)
Date: 2009
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:2:p:157-173

DOI: 10.1016/j.physa.2008.10.002

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