A bottleneck model for bidirectional transport controlled by fluctuations
Résumé
We introduce a new model to study the oscillations of opposite flows sharing a common bottleneck and moving on Totally Asymmetric Simple Exclusion Process (TASEP) lanes. We provide a theoretical analysis of the phase diagram, valid when the system is dominated by stationary states. In particular, we find a non-trivial high density phase, with a striped spatio-temporal structure. Furthermore, we show that short bottlenecks enhance the particles current in such a way that the average current in the bottleneck can be higher than the single-lane maximal current stationary value. Looking at more sensitive quantities like the distribution of flipping times, we show that, in most regimes, the bottleneck is driven by rare fluctuations and descriptions beyond the stationary state are required.