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We introduce a new model to study the oscillations of opposite flows sharinga common bottleneck and moving on two Totally Asymmetric Simple ExclusionProcess (TASEP) lanes. We provide a theoretical analysis of the phase diagram,valid when the flow in the bottleneck is dominated by local stationary states.In particular, we predict and find an inhomogeneous high density phase, with astriped spatio-temporal structure. At the same time, our results also show thatsome other features of the model cannot be explained by the stationarityhypothesis and require consideration of the transients in the bottleneck ateach reversal of the flow. In particular, we show that for short bottlenecks,the capacity of the system is at least as high as for uni-directional flow, inspite of having to empty the bottleneck at each reversal - a feature that canbe explained only by efficient transients. Looking at more sensitive quantitieslike the distribution of flipping times, we show that, in most regimes, thebottleneck is driven by rare fluctuations and descriptions beyond thestationary state are required.

A bottleneck model for bidirectional transport controlled by fluctuations