Theoretical approach to two-dimensional traffic flow models

Details Theoretical approach to two-dimensional traffic flow models Theoretical approach to two-dimensional traffic flow models

1994-06-24

arxiv.org/abs/comp-gas/9406001v1

Physics

Condensed Matter

15 pages, REVTeX 3.0, 7 uuencoded figures upon request to cuesta@ing.uc3m.es

Scientific paper

10.1103/PhysRevE.51.175

In this paper we present a theoretical analysis of a recently proposed two-dimensional Cellular Automata model for traffic flow in cities with the novel ingredient of turning capability. Numerical simulations of this model show that there is a transition between a freely moving phase with high velocity to a jammed state with low velocity. We study the dynamics of such a model starting with the microscopic evolution equation, which will serve as a basis for further analysis. It is shown that a kinetic approach, based on the Boltzmann assumption, is able to provide a reasonably good description of the jamming transition. We further introduce a space-time continuous phenomenological model leading to a couple of partial differential equations whose preliminary results agree rather well with the numerical simulations.

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