Автор |
Nino Boccara |
Автор |
Henryk Fuks |
Дата выпуска |
2000-05-05 |
dc.description |
We derive the critical behaviour of a cellular automaton traffic flow model using an order parameter breaking the symmetry of the jam-free phase. Random braking appears to be the symmetry-breaking field conjugate to the order parameter. For v<sub>max </sub> = 2, we determine the values of the critical exponents β, γ and δ using an order-3 cluster approximation and computer simulations. These critical exponents satisfy a scaling relation, which can be derived assuming that the order parameter is a generalized homogeneous function of |ρ-ρ<sub>c</sub>| and p in the vicinity of the phase transition point. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Critical behaviour of a cellular automaton highway traffic model |
Тип |
paper |
DOI |
10.1088/0305-4470/33/17/301 |
Print ISSN |
0305-4470 |
Журнал |
Journal of Physics A: Mathematical and General |
Том |
33 |
Первая страница |
3407 |
Последняя страница |
3415 |
Выпуск |
17 |