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Article Dans Une Revue European Physical Education Review Année : 2013

Role of network junctions for the totally asymmetric simple exclusion process

Adélaïde Raguin
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Andrea Parmeggiani
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Norbert Kern
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Résumé

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.
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Dates et versions

hal-01531052 , version 1 (01-06-2017)

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Adélaïde Raguin, Andrea Parmeggiani, Norbert Kern. Role of network junctions for the totally asymmetric simple exclusion process. European Physical Education Review, 2013, 88 (4), pp.042104. ⟨10.1103/PhysRevE.88.042104⟩. ⟨hal-01531052⟩
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