A Fiber Bundle Model of Traffic Jams
arXiv:cond-mat/0603839 · doi:10.1016/j.physa.2006.05.003
Abstract
We apply the equal load-sharing fiber bundle model of fracture failure in composite materials to model the traffic failure in a system of parallel road network in a city. For some special distributions of traffic handling capacities (thresholds) of the roads, the critical behavior of the jamming transition can be studied analytically. This has been compared with that for the asymmetric simple exclusion process in a single channel or road.
7 pages, 4 eps figures, elsart style; Proc. Int. Workshop on "Common Trends in Traffic Systems", Kanpur, India, Feb 2006; to be published in Physica A
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