Mechanisms of jamming in the Nagel-Schreckenberg model for traffic flow
Name
PhysRevE.95.012311.pdf
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1.06 MB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Habel, Lars
Schreckenberg, Michael
Emig, Thorsten
Bette, Henrik Maria
Date Issued
January 2017
Journal
Physical Review E
Publisher
American Physical Society
Citation
Bette, Henrik M. et al. “Mechanisms of Jamming in the Nagel-Schreckenberg Model for Traffic Flow.” Physical Review E 95.1 (2017): n. pag. © 2017 American Physical Societ
Version
Final published version
Abstract
We study the Nagel-Schreckenberg cellular automata model for traffic flow by both simulations and analytical techniques. To better understand the nature of the jamming transition, we analyze the fraction of stopped cars P(v=0) as a function of the mean car density. We present a simple argument that yields an estimate for the free density where jamming occurs, and show satisfying agreement with simulation results. We demonstrate that the fraction of jammed cars P(v∈{0,1}) can be decomposed into the three factors (jamming rate, jam lifetime, and jam size) for which we derive, from random walk arguments, exponents that control their scaling close to the critical density.
MIT Department
Massachusetts Institute of Technology. Department of Physics
MIT Energy Initiative
MultiScale Materials Science for Energy and Environment, Joint MIT-CNRS Laboratory
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.95.012311
