Can car density in a two-lane section depend on the position of the latter in a single-lane road?

Abstract

We report here results on the study of the totally asymmetric simple exclusion processes (TASEP), defined on an open network, consisting of head and tail simple chain segments with a double-chain section inserted in-between. Results of numerical simulations for relatively short chains reveal an interesting new feature of the network. When the current through the system takes its maximum value, a simple translation of the double-chain section forward or backward along the network, leads to a sharp change in the shape of the density profiles in the parallel chains, thus affecting the total number of cars in that part of the network. In the symmetric case of equal injection and ejection rates (α= β>1/2) and equal lengths of the head and tail sections, the density profiles in the two parallel chains are almost linear, characteristic for the coexistence line (shock phase). Upon moving the section forward (backward), their shape changes to the one typical for the high (low) density phases of a simple chain. The total bulk density of cars in a section with a large number of parallel chains is evaluated too. The observed effect might have interesting implications for the traffic flow control as well as for biological transport processes in living cells. An explanation of this phenomenon is offered in terms of finite-size dependence of the effective injection and ejection rates at the ends of the double-chain section.

20 pages, 8 figures

References in corpus (8)

• Dynamics of jamming transitions in complex networks
• The totally asymmetric simple exclusion process on networks
• Feedback and Fluctuations in a Totally Asymmetric Simple Exclusion Process with Finite Resources
• Theoretical investigation of synchronous totally asymmetric exclusion processes on lattices with multiple-input-single-output junctions
• Multiple phase transitions in a system of exclusion processes with limited reservoirs of particles and fuel carriers
• Asymmetric Simple Exclusion Process on a Cayley Tree
• Structural phase transition in evolving networks
• Random Walks on Complex Networks

Cited by in corpus (4)

• Effects of junctional correlations in the totally asymmetric simple exclusion process on random regular networks
• The asymmetric simple exclusion process on chains with a shortcut revisited
• Asymmetric exclusion processes on a closed network with bottlenecks
• On the appearance of traffic jams in a long chain with a shortcut in the bulk