Coexisting phases and lattice dependence of a cellular automaton model for traffic flow

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 71, Issue 6, 2005, Pages

  D'Souza, Raissa M ^a  

^a MICROSOFT RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRIC STRUCTURE; JAMMED WAVE FRONTS;

JAMMING; LATTICE CONSTANTS; TELECOMMUNICATION TRAFFIC;

MATHEMATICAL MODELS;

EID: 27944485808     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.066112     Document Type: Article

References (22)

1. O. Biham, A. A. Middleton, and D. Levine, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.R6124 46, R6124 (1992).
2. T. Nagatani, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/65/9/203 65, 1331 (2002).
3. A. Schadschneider, Physica A PHYADX 0378-4371 10.1016/S0378-4371(02) 01036-1 313, 153 (2002).
4. D. Chowdhury, L. Santen, and A. Schadschneider, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(99)00117-9 329, 199 (2000).
5. K. Nagel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.4655 53, 4655 (1996).
6. P. Winkler, Y. Peres, E. Friedgut, and L. Lovasz (private communication).
7. T. Nagatani, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.62.2656 62, 2656 (1993).
8. M. Fukui and Y. Ishibashi, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.62.3841 62, 3841 (1993).
9. S. Tadaki and M. Kikuchi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.50.4564 50, 4564 (1994).
10. S. Tadaki and M. Kikuchi, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.64.4504 64, 4504 (1995).
11. J. Török and J. Kertész, Physica A PHYADX 0378-4371 10.1016/0378-4371(96)00144-6 231, 515 (1996).
12. F. C. Martínez, J. A. Cuesta, J. M. Molera, and R. Brito, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.R835 51, R835 (1995).
13. H. F. Chau, K. Y. Wan, and K. K. Yan, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00007-7 254, 117 (1998).
14. Y. Ishibashi and M. Fukui, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.63.2882 63, 2882 (1994).
15. J. M. Molera, F. C. Martínez, J. A. Cuesta, and R. Brito, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.175 51, 175 (1995).
16. B. H. Wang, Y. F. Woo, and P. M. Hui, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/29/2/002 29, L31 (1996).
17. T. Nagatani, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.4857 59, 4857 (1999).
18. T. S. Komatsu and S. Sasa, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.5574 52, 5574 (1995).
19. N. H. Margolus, in Pattern Formation and Lattice-Gas Automata, edited by, A. Lawniczak, and, R. Kapral, (American Mathematical Society, Providence, RI, 1996).
20. http://research.microsoft.com/users/raissa/bml.htm
21. A. E. Holroyd, Probab. Theory Relat. Fields PTRFEU 0178-8051 10.1007/s00440-002-0239-x 125, 195 (2003).
22. G. R. Grimmett, in Random Walks and Discrete Potential Theory, edited by, M. Picardello, and, W. Woess, (Cambridge University Press, Cambridge, U.K., 1999), pp. 205-213.