Phys. Rev. E 64, 057106 (2001) [4 pages]Mean-field theory for car accidentsReceived 4 May 2001; revised 6 July 2001; published 26 October 2001 We study analytically the occurrence of car accidents in the Nagel-Schreckenberg traffic model. We obtain exact results for the occurrence of car accidents Pac as a function of the car density ρ and the degree of stochastic braking p1 in the case of speed limit vmax=1. Various quantities are calculated analytically. The nontrivial limit p1→0 is discussed. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.057106
DOI:
10.1103/PhysRevE.64.057106
PACS:
89.40.+k, 05.60.-k
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