Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-01-07
Physical Review E, Vol. 69, 036102 (2004)
Physics
Condensed Matter
Statistical Mechanics
6 pages, 5 figures; To appear in Phys. Rev. E
Scientific paper
10.1103/PhysRevE.69.036102
We study the microscopic time fluctuations of traffic-load and the global statistical properties of a dense traffic of particles on scale-free cyclic graphs. For a wide range of driving rates $R$ the traffic is stationary and the load timeseries exhibit anti-persistence due to the regulatory role of the super-structure associated with two hub nodes in the network. We discuss how the super-structure effects the functioning of the network at high traffic density and at the jamming threshold. The degree of correlations systematically decreases with increasing traffic density and eventually disappears when approaching a jamming density $R_c$. Already before jamming we observe qualitative changes in the global network-load distributions and the particle queuing-times. These changes are related to the occurrence of temporary crises in which the network-load increases dramatically, and then slowly falls back to a value characterizing free-flow.
Rodgers Geoff J.
Tadic Bosiljka
Thurner Stefan
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