Abstract
Asymmetric effect on the dynamical jamming transition in Biham-Middleton-Levine (BML) model with random sequential update rule is studied. The numerical simulations show that under periodic boundary condition, the system exhibits a sharp transition from freely moving phase to completely jamming phase, and the critical density is smaller than that of original BML model with synchronous update rule. For the asymmetry of system size, it can be found that the critical density is independent of the system size only when the width W and the length L are larger than some critical values respectively. Furthermore, the phase diagram shows that the asymmetric effect of the number of vehicles in two different directions plays a key role in reducing the occurrence of jam, and the underlying mechanism is analyzed.
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