A cellular automaton model for two-lane traffic

Journal of Statistical Physics

Volumn 103, Issue 5-6, 2001, Pages 945-971

  Belitsky, V ^a   Krug, J ^a   Jordao Neves E ^a   Schutz G M ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Cellular automata; Current density relation; Two lane traffic

Indexed keywords

EID: 0035373768     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1010361022379     Document Type: Article

References (26)

1. V. Belitsky and P. A. Ferrari, Ballistic annihilation and deterministic surface growth, J. Stat. Phys. 80(3/4) (1995).
2. V. Belitsky and P. Ferrari, Invariant measures and convergence for cellular automaton 184 and related processes, submitted to J. Stat. Phys.
3. [BML] O. Biham, A. A. Middleton, and D. Levine, Self-organization and a dynamic transition in traffic flow models, Phys. Rev. A 46:R6124 (1992).
4. [CSS] D. Chowdhury, L. Santen, and A. Schadschneider, Statistical physics of vehicular traffic and some related systems, Phys. Rep. 329:199 (2000).
5. [CWS] D. Chowdhury, D. E. Wolf, and M. Schreckenberg, Particle hopping models for two-lane traffic with two kinds of vehicles: Effects of lane-changing rules, Physica A 235:417 (1997).
6. [DE] J. de Gier and B. Nienhuis, Exact stationary state for an asymmetric exclusion process with fully parallel dynamics, Phys. Rev. E 59:4899 (1999).
7. [ERS] M. R. Evans, N. R. Rajewsky, and E. R. Speer, Exact solution of a cellular automaton for traffic, J. Stat. Phys. 95:45 (1999).
8. [Fo] M. E. Fouladvand, Reaction-diffusion models describing a two-lane traffic flow, Phys. Rev. E 62:5940 (2000).
9. [HH] D. Helbing and B. A. Huberman, Coherent moving states in highway traffic, Nature 396:738 (1998).
10. I. Ispolatov and P. L. Krapivsky, Particle systems with stochastic passing, Phys. Rev. E 61:2163 (2000).
11. I. Ispolatov and P. L. Krapivsky, Phase transition in a traffic model with passing, Phys. Rev. E 62:5935 (2000).
12. [KS] J. Krug and H. Spohn, Universality Classes for Deterministic Surface Growth, Phys. Rev. A 38:4271 (1988).
13. T. Nagatani, Self-organization and phase transition in traffic-flow model of a two-lane roadway, J. Phys. A 26:L781 (1993).
14. T. Nagatani, Kinetics of segregation in a two-lane highway traffic flow, J. Phys. A 29:6531 (1996).
15. [NH] K. Nagel and H. J. Herrmann, Deterministic models for traffic jams, Physica A 199:254 (1993).
16. [NWW] K. Nagel, P. Wagner, and D. E. Wolf, Realistic multi-lane traffic rules for cellular automata, Physica A 234:687 (1997).
17. [NWWS] K. Nagel, D. E. Wolf, P. Wagner, and P. Simon, Two-lane traffic rules for cellular automata: A systematic approach, Phys. Rev. E 58:1425 (1998).
18. K. Nishinari and D. Takahashi, Analytical properties of ultradiscrete Burgers equation and rule-184 cellular automaton, J. Phys. A 31:5439 (1998).
19. K. Nishinari and D. Takahashi, A family of multi-value cellular automaton model for traffic flow, Preprint nlin.AO/0002007, submitted to Phys. Rev. E.
20. [RNSL] M. Rickert, K. Nagel, M. Schreckenberg, and A. Latour, Two-lane traffic simulations using cellular automata, Physica A 231:534 (1996).
21. [SSNI] M. Schreckenberg, A. Schadschneider, K. Nagel, and N. Ito, Discrete Stochastic Models for Traffic Flow, Phys. Rev. E 51:2939 (1995).
22. [SW] M. Schreckenberg and D. E. Wolf, eds., Traffic and Granular Flow '97 (Springer, Singapore 1998).
23. [TE] L. G. Tilstra and M. H. Ernst, Synchronous asymmetric exclusion processes, J. Phys. A 31:5033 (1998).
24. [Wo] D. E. Wolf, Cellular automata for traffic simulations, Physica A 263:438 (1999).
25. [Wm] S. Wolfram, Statistical mechanics of cellular automata, Rev. Mod. Phys. 55 (1983).
26. [Y] H. Yaguchi, Stationary measures for an exclusion process on one-dimensional lattices with infinitely many hopping sites, Hiroshima Math. J. 16:449 (1986).