Cellular Automata For Traffic Flow: Analytical Results
| dc.creator | Schadschneider, Andreas | |
| dc.creator | Schreckenberg, Michael | |
| dc.date | 1995-11-07 | |
| dc.date.accessioned | 2026-07-07T03:08:01Z | |
| dc.date.available | 2026-07-07T03:08:01Z | |
| dc.description | We use analytical methods to investigate cellular automata for traffic flow. Two different mean-field approaches are presented, which we call site-oriented and car-oriented, respectively. The car-oriented mean-field theory yields the exact fundamental diagram for the model with maximum velocity $\vm =1$ whereas in the site-oriented approach one has to take into account correlations between nearest-neighbour sites. Going beyond mean-field using the so-called $n$-cluster approach our results for $\vm >1$ are in excellent agreement with numerical simulations. We also present a modified cellular automaton which is closely related to a two-dimensional dimer model. | |
| dc.description | Latex, uses mprocl.tex macro-package (available from xxx.lanl.gov), 5 pages with 4 ps-figures to appear in the proceedings of the workshop "Traffic and Granular Flow" | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9511037 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9511037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27393 | |
| dc.subject | Condensed Matter | |
| dc.title | Cellular Automata For Traffic Flow: Analytical Results | |
| dc.type | text |