N Boccara et al 1997 J. Phys. A: Math. Gen. 30 3329 doi:10.1088/0305-4470/30/10/012
N Boccara
,
, H Fuks
and Q Zeng![]()
Within the framework of a simple model of car traffic on a one-lane highway, we study the probability of the occurrence of car accidents when drivers do not respect the safety distance between cars, and, as a result of the blockage during the time T necessary to clear the road, we determine the number of stopped cars as a function of car density. We give a simple theory in good agreement with our numerical simulations.
45.70.Vn Granular models of complex systems; traffic flow
Issue 10 (21 May 1997)
Received 27 February 1997
N Boccara et al 1997 J. Phys. A: Math. Gen. 30 3329
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: dimensional reduction of Chern–Pontryagin densities