Garden of Eden states in traffic models
| dc.creator | Schadschneider, Andreas | |
| dc.creator | Schreckenberg, Michael | |
| dc.date | 1998-01-08 | |
| dc.date.accessioned | 2026-07-07T03:09:45Z | |
| dc.date.available | 2026-07-07T03:09:45Z | |
| dc.description | We investigate the allowed configurations in the stationary state of the cellular automaton model for single-lane traffic. It is found that certain states in the configuration space can not be reached if one uses parallel dynamics. These so-called Garden of Eden (GoE) states do not exist for random-sequential dynamics and are responsible for the strong short-ranged correlations found in parallel dynamics. By eliminating the GoE states we obtain a simple and effective approximative description of the model. For $v_{max}=1$ the exact solution is recovered. For $v_{max}=2$ this elimination leads to much higher values of the flux compared to the mean-field result which are in good agreement with Monte Carlo simulations. | |
| dc.description | 9 pages, 2 postscript figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9801061 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9801061 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/28009 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Adaptation and Self-Organizing Systems | |
| dc.subject | Cellular Automata and Lattice Gases | |
| dc.title | Garden of Eden states in traffic models | |
| dc.type | text |