Boundary-induced phase transitions in a space-continuous traffic model with non-unique flow-density relation

European Physical Journal B

Volumn 30, Issue 4, 2002, Pages 559-570

  Namazi, A ^a   Eissfeldt, N ^a   Wagner, P ^b   Schadschneider, A ^a  

^a UNIVERSITY OF COLOGNE   (Germany)

^b GERMAN AEROSPACE CENTER DLR   (Germany)

Author keywords

02.50.Ey Stochastic processes; 05.40. a Fluctuation phenomena, random processes, noise, and Brownian motion; 45.70.Vn Granular models of complex systems; traffic flow

Indexed keywords

EID: 0041401285     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjb/e2002-00414-4     Document Type: Article

References (36)

1. D. Chowdhury, L. Santen, A. Schadschneider, Phys. Rep. 329, 199 (2000)
2. D. Helbing, Rev. Mod. Phys. 73, 1067 (2001)
3. T. Nagatani, Rep. Prog. Phys. 65, 1331 (2002)
4. S. Krauss, P. Wagner, C. Gawron, Phys. Rev. E 54, 3707 (1996); 55, 5597 (1997)
5. S. Krauss, P. Wagner, C. Gawron, Phys. Rev. E 54, 3707 (1996); 55, 5597 (1997)
6. ∼paper)
7. S. Krauss, in Traffic and Granular Flow '97, edited by M. Schreckenberg, D.E. Wolf (Springer, 1998), p. 269
8. P.G. Gipps, Trans. Res. B, 15, 105 (1981)
9. K. Nagel, M. Schreckenberg, J. Phys. I 2, 2221 (1992)
10. M. Schreckenberg, A. Schadschneider, K. Nagel, N. Ito, Phys. Rev. E 51, 2939 (1995)
11. B.S. Kerner, H. Rehborn, Phys. Rev. E 53, 4275 (1996); Phys. Rev. Lett. 79, 4030 (1997)
12. B.S. Kerner, H. Rehborn, Phys. Rev. E 53, 4275 (1996); Phys. Rev. Lett. 79, 4030 (1997)
13. B.S. Kerner, in Traffic and Granular Flow '97, edited by M. Schreckenberg, D.E. Wolf (Springer, 1998), p. 239
14. B.S. Kerner, Netw. Spatial Econo. 1, 35 (2001)
15. B.S. Kerner, P. Konhäuser, Phys. Rev. E 48, R2335 (1993)
16. K. Nagel, C. Kayatz, P. Wagner, to appear in Traffic and Granular Flow '01, edited by Y. Sugiyama et al. (Springer, 2002), e-print cond-mat/0112116
17. F. Zielen, A. Schadschneider, Phys. Rev. Lett. 89, 090601 (2002)
18. R. Barlovic, L. Santen, A. Schadschneider, M. Schreckenberg, Eur. Phys. J. B 5, 793 (1998)
19. R. Barlovic, T. Huisinga, A. Schadschneider, M. Schreckenberg, Phys. Rev. E 66, 046113 (2002)
20. B. Derrida, M.R. Evans, V. Hakim, V. Pasquier, J. Phys. A 26, 1493 (1993)
21. G.M. Schütz, E. Domany, J. Stat. Phys. 72, 277 (1993)
22. N. Rajewsky, L. Santen, A. Schadschneider, M. Schreckenberg, J. Stat. Phys. 92, 151 (1998)
23. M.R. Evans, N. Rajewsky, E.R. Speer, J. Stat. Phys. 95, 45 (1999)
24. J. de Gier, B. Nienhuis, Phys. Rev. E 59, 4899 (1999)
25. V. Popkov, L. Santen, A. Schadschneider, G.M. Schütz, J. Phys. 34, L45 (2001)
26. S. Cheybani, J. Kertesz, M. Schreckenberg, Phys. Rev. E 63, 016107 and 016108 (2001)
27. C. Appert, L. Santen, Phys. Rev. Lett. 86, 2498 (2001)
28. J. Krug, Phys. Rev. Lett. 67, 1882 (1991)
29. B. Schmittmann, R.K.P. Zia, in Phase Transitions and Critical Phenomena, Vol. 17, edited by C. Domb, J.L. Lebowitz (Academic Press, 1995); Phys. Rep. 301, 45 (1998)
30. B. Schmittmann, R.K.P. Zia, in Phase Transitions and Critical Phenomena, Vol. 17, edited by C. Domb, J.L. Lebowitz (Academic Press, 1995); Phys. Rep. 301, 45 (1998)
31. G.M. Schütz, in Phase Transitions and Critical Phenomena, Vol. 19, edited by C. Domb, J. Lebowitz (Academic Press, 2000)
32. A.B. Kolomeisky, G.M. Schütz, E.B. Kolomeisky, J.P. Straley, J. Phys. A 31, 6911 (1998)
33. V. Popkov, G.M. Schütz, Europhys. Lett. 48, 257 (1999)
34. A. Namazi, Diploma thesis, University of Cologne, Germany 2001. (available from www.zaik.de/ AFS/theses.html)
35. T. Antal, G.M. Schütz, Phys. Rev. E 62, 83 (2000)
36. N. Eissfeldt, P. Wagner (in preparation)