Distribution of Jam Clusters in a Two-Dimensional Cellular Automaton Traffic Flow Model with Open Boundaries
Shin-ichi Tadaki · Journal of the Physical Society of Japan · 1997
The distribution of jam clusters in a two-dimensional cellular automaton model of traffic flow with open boundaries is investigated by computer simulation. The size distribution of jam clusters obeys the power law of the injection rate in the high-injection-rate region. The total number of unmoved cars in jam clusters shows a sharp transition at the critical injection rate and can be an adequate order parameter describing the phase transition with the emergence of a traffic jam.