| Автор | Nino Boccara |
| Автор | Henryk Fuks |
| Дата выпуска | 1998-07-17 |
| dc.description | This paper shows how to determine all of the unidimensional two-state cellular automaton rules of a given number of inputs which conserve the number of active sites. These rules have to satisfy a necessary and sufficient condition. If the active sites are viewed as cells occupied by identical particles, these cellular automaton rules represent evolution operators of systems of identical interacting particles whose total number is conserved. Some of these rules, which allow motion in both directions, mimic ensembles of one-dimensional pseudorandom walkers. Numerical evidence indicates that the corresponding stochastic processes might be non-Gaussian. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Cellular automaton rules conserving the number of active sites |
| Тип | paper |
| DOI | 10.1088/0305-4470/31/28/014 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 31 |
| Первая страница | 6007 |
| Последняя страница | 6018 |
| Аффилиация | Nino Boccara; University of Illinois at Chicago, Department of Physics, Chicago, IL 60607-7059, USA |
| Аффилиация | Henryk Fuks; University of Illinois at Chicago, Department of Physics, Chicago, IL 60607-7059, USA |
| Выпуск | 28 |
