Theoretical approach to two-dimensional traffic flow models | Zendy

Juan M. Molera | Zendy; Froilán C. Martínez | Zendy; José A. Cuesta | Zendy; Ricardo Brito | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Theoretical approach to two-dimensional traffic flow models

Author(s) -

Juan M. Molera,

Froilán C. Martínez,

José A. Cuesta,

Ricardo Brito

Publication year - 1995

Publication title -

physical review. e, statistical physics, plasmas, fluids, and related interdisciplinary topics

Language(s) - English

Resource type - Journals

eISSN - 1095-3787

pISSN - 1063-651X

DOI - 10.1103/physreve.51.175

Subject(s) - cellular automaton , statistical physics , microscopic traffic flow model , flow (mathematics) , jamming , basis (linear algebra) , phase space , partial differential equation , traffic flow (computer networking) , computer science , phase transition , boltzmann equation , automaton , space (punctuation) , physics , mathematics , mechanics , mathematical analysis , theoretical computer science , algorithm , geometry , computer network , computer security , quantum mechanics , traffic generation model , thermodynamics , operating system

In this paper we present a theoretical analysis of a recently proposedtwo-dimensional Cellular Automata model for traffic flow in cities with thenovel ingredient of turning capability. Numerical simulations of this modelshow that there is a transition between a freely moving phase with highvelocity to a jammed state with low velocity. We study the dynamics of such amodel starting with the microscopic evolution equation, which will serve as abasis for further analysis. It is shown that a kinetic approach, based on theBoltzmann assumption, is able to provide a reasonably good description of thejamming transition. We further introduce a space-time continuousphenomenological model leading to a couple of partial differential equationswhose preliminary results agree rather well with the numerical simulations.Comment: 15 pages, REVTeX 3.0, 7 uuencoded figures upon request to cuesta@ing.uc3m.e

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research