Role of network junctions for the totally asymmetric simple exclusion process.
We study the effect of local regulation mechanisms on stochastic network traffic, based on simple examples. Using the totally asymmetric simple exclusion process on a multiloop structure in which several segments share a single junction, we illustrate several mechanisms: (i) additional segments improve transport but the effect saturates due to blockage, (ii) bias reduces the overall transport and leads to several regimes, (iii) "pumping" particles out of the junctions, via a locally increased hopping rate, allows us to compensate the bottlenecks but becomes futile beyond a characteristic rate which we determine. We provide a generic discussion of combinations of these effects, including phase diagrams in terms of the control parameters.
Université Montpellier 2, Laboratoire Charles Coulomb UMR 5221, F-34095, Montpellier, France and CNRS, Laboratoire Charles Coulomb UMR 5221, F-34095, Montpellier, France and Université Montpellier 1, Laboratoire DIMNP UMR 5235, F-34095, Montpellier, France and Université Montpellier 2, Laboratoire DIMNP UMR 5235, F-34095, Montpellier, France and CNRS, Laboratoire DIMNP UMR 5235, F-34095, Montpellier, France.
Adélaïde
A
Raguin
Andrea
A
Parmeggiani
Norbert
N
Kern