Spatio-temporal organization of vehicles in a cellular automata model of traffic with 'slow-to-start' rule

Journal of Physics A: Mathematical and General

Volumn 32, Issue 18, 1999, Pages 3229-3252

  Chowdhury, Debashish ^a,b   Santen, Ludger ^b   Schadschneider, Andreas ^a   Sinha, Shishir ^a,c   Pasupathy, Abhay ^a,d  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

^b UNIVERSITY OF COLOGNE   (Germany)

^c HARVARD UNIVERSITY   (United States)

^d Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033531895     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/18/303     Document Type: Article

References (43)

1. Lighthill M J and Whitham G B 1955 Proc. R. Soc. A 229 281
2. Kerner B S, Klenov S L and Konhäuser P 1997 Phys. Rev. E 56 4200
3. Choi M Y and Lee H Y 1995 Phys. Rev. E 52 5979
4. Prigogine I and Herman R 1971 Kinetic Theory of Vehicular Traffic (Amsterdam: Elsevier)
5. Helbing D 1995 Physica A 219 375
6. Helbing D 1995 Physica A 219 391
7. Helbing D 1995 Physica A 233 253
8. Nagatani T 1997 J. Phys. Soc. Japan 66 1219
9. See, for reviews, Herman R and Gardels K 1963 Sci. Am. 209 35
10. Gazis D C 1967 Science 157 273
11. Bando M, Hasebe K, Nakayama A, Shibata A and Sugiyama Y 1995 Phys. Rev. E 51 1035
12. Yukawa S and Kikuchi M 1995 J. Phys. Soc. Japan 64 35
13. Yukawa S and Kikuchi M 1996 J. Phys. Soc. Japan 65 916
14. Nagatani T 1996 J. Phys. Soc. Japan 65 2333
15. Nagel K and Schreckenberg M 1992 J. Physique I 2 2221
16. Nagel K and Herrmann H J 1993 Physica A 199 254
17. Schreckenberg M, Schadschneider A, Nagel K and Ito N 1995 Phys. Rev. E 51 2939
18. See also Schadschneider A and Schreckenberg M 1993 J. Phys. A: Math. Gen. 26 L679
19. Schadschneider A and Schreckenberg M 1997 J. Phys. A: Math. Gen. 30 L69
20. Schadschneider A and Schreckenberg M 1998 J. Phys. A: Math. Gen. 31 L225
21. Nagel K 1996 Phys. Rev. E 53 4655
22. Chowdhury D, Majumdar A, Ghosh K, Sinha S and Stinchcombe R B 1997 Physica A 246 471
23. Ghosh K, Majumdar A and Chowdhury D 1998 Phys. Rev. E 58 4012
24. Chowdhury D, Pasupathy A and Sinha S 1998 Eur. Phys. J. B 5 781
25. Schadschneider A 1998 Traffic and Granular Flow'97 ed M Schreckenberg and D E Wolf (Singapore: Springer)
26. Ktitarev D, Chowdhury D and Wolf D E 1997 J. Phys. A: Math. Gen. 30 L221
27. Csahok Z and Vicsek T 1994 J. Phys. A: Math. Gen. 27 L591
28. Nagel K and Paczuski M 1995 Phys. Rev. E 51 2909
29. Boccara N, Fuks H and Zeng Q 1997 J. Phys. A: Math. Gen. 30 3329
30. Benjamin S C, Johnson N F and Hui P M 1996 J. Phys. A: Math. Gen. 29 3119
31. Takayasu M and Takayasu H 1993 Fractals 1 860
32. Barlovic R, Santen L, Schadschneider A and Schreckenberg M 1998 Eur. Phys. J. 5 793
33. Schadschneider A and Schreckenberg M 1997 Ann. Phys. 6 541
34. Wolf D E 1999 Physica A 263 438
35. Schmittmann B and Zia R K P 1995 Phase Transitions and Critical Phenomena vol 17, ed C Domb and J L Lebowitz (New York: Academic)
36. May A D 1990 Traffic Flow Fundamentals (Englewood Cliffs, NJ: Prentice-Hall)
37. Wolf D E, Schreckenberg M and Bachem A (ed) 1996 Traffic and Granular Flow (Singapore: World Scientific)
38. Schreckenberg M and Wolf D E (ed) 1998 Traffic and Granular Flow '97 (Singapore: Springer)
39. Wolfram S 1986 Theory and Applications of Cellular Automata (Singapore: World Scientific)
40. Sinha S 1998 Masters (Theory) Thesis IIT Kanpur unpublished
41. Kerner B S and Rehborn H 1997 Phys. Rev. Lett. 79 4030
42. Kerner B S and Rehborn H 1996 Phys. Rev. E 53 R1297
43. Gutowitz H A, Victor D and Knight B W 1987 Physica D 28 18