Exact limiting solutions for certain deterministic traffic rules
| dc.creator | Kujala, Janne V. | |
| dc.creator | Lukka, Tuomas J. | |
| dc.date | 2001-05-21 | |
| dc.date.accessioned | 2026-07-07T05:33:30Z | |
| dc.date.available | 2026-07-07T05:33:30Z | |
| dc.description | We analyze the steady-state flow as a function of the initial density for a class of deterministic cellular automata rules (``traffic rules'') with periodic boundary conditions [H. Fuks and N. Boccara, Int. J. Mod. Phys. C 9, 1 (1998)]. We are able to predict from simple considerations the observed, unexpected cutoff of the average flow at unity. We also present an efficient algorithm for determining the exact final flow from a given finite initial state. We analyze the behavior of this algorithm in the infinite limit to obtain for R_m,k an exact polynomial equation maximally of 2(m+k)th degree in the flow and density. | |
| dc.description | 25 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0105045 | |
| dc.identifier | http://arxiv.org/abs/nlin/0105045 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80017 | |
| dc.subject | Cellular Automata and Lattice Gases | |
| dc.title | Exact limiting solutions for certain deterministic traffic rules | |
| dc.type | text |