Cluster Statistics and Traffic on a Lattice

Pöschel T, Freund JA (1997)

Publication Language: English

Publication Type: Book chapter / Article in edited volumes

Publication year: 1997

Publisher: Springer

Edited Volumes: Stochastic Dynamics

Series: Lecture Notes in Physics

City/Town: Berlin, Heidelberg

Book Volume: 484

Pages Range: 220-231

ISBN: 978-3662141229

DOI: 10.1007/BFb0105612

Abstract

We describe traffic on a two dimensional lattice modelled using a cellular automaton. The theoretical approach valid in the low density region employs cluster statistics. The derived central formula for the velocity vs. density relation nicely agrees with simulation results. In our approach the explicit traffic rules solely enter through combinatorics accounting for average crossing traffics.

Authors with CRIS profile

Thorsten Pöschel Lehrstuhl für Multiscale Simulation of Particulate Systems

Involved external institutions

Humboldt-Universität zu Berlin DE Germany (DE)

How to cite

APA:

Pöschel, T., & Freund, J.A. (1997). Cluster Statistics and Traffic on a Lattice. In Schimansky-Geier, Lutz and Pöschel, Thorsten (Eds.), Stochastic Dynamics. (pp. 220-231). Berlin, Heidelberg: Springer.

MLA:

Pöschel, Thorsten, and Jan A. Freund. "Cluster Statistics and Traffic on a Lattice." Stochastic Dynamics. Ed. Schimansky-Geier, Lutz and Pöschel, Thorsten, Berlin, Heidelberg: Springer, 1997. 220-231.

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