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The European Physical Journal B

, Volume 58, Issue 2, pp 193–196 | Cite as

Metastable states in two-lane traffic flow models with slow-to-start rule

  • N. MoussaEmail author
Interdisciplinary Physics

Abstract.

Using computer simulations, we show that metastable states still occur in two-lane traffic models with slow to start rules. However, these metastable states no longer exist in systems where aggressive drivers (which do not look back before changing lanes) are present. Indeed, the presence of only one aggressive driver in the circuit, triggers the breakdown of the high flow states. In these systems, the steady state is unique and its relaxation dynamics should depend on the lane changing probability pch and the number of aggressive drivers present in the circuit. It is found also that the relaxation time τ diverges as the form of a power-law: τ∝pch , β=1. 89.40.+k

PACS.

02.50.-Ey Stochastic processes 05.45.-a Nonlinear dynamics and chaos 45.70.Vn Granular models of complex systems; traffic flow  

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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  1. 1.Faculté Polydisciplinaire, Université Chouaib Doukkali, B.P 299, 2400 El Jadida, Morocco and LPMC, Faculté des SciencesEl JadidaMorocco

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