Vehicular traffic: A system of interacting particles driven far from equilibrium

Current Science

Volumn 77, Issue 3, 1999, Pages 411-419

  Chowdhury, Debashish ^a,b   Santen, Ludger ^b   Schadschneider, Andreas ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

^b UNIVERSITY OF COLOGNE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001292095     PISSN: 00113891     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (99)

1. Herman, R. and Gardels, K., Sci. Am., 1963, 209, 35.
2. Gazis, D. C., Science, 1967, 157, 273.
3. Prigogine, I. and Herman, R., Kinetic Theory of Vehicular Traffic, Elsevier, Amsterdam, 1971.
4. Wolf, D. E., Schreckenberg, M. and Bachern, A (eds), Traffic and Granular Flow, World Scientific, Singapore, 1996.
5. Wolf, D. E., and Schreckenberg, M. (eds), Traffic and Granular Flow, Springer, Singapore, 1998.
6. Helbing, D. and Treiber, M., Science, 1998, 282, 2002.
7. Wolfram, S., Theory and Applications of Cellular Automata, World Scientific, Singapore, 1986.
8. Nagel, K. and Schreckenberg, M., J. Phys. I, 1992, 2, 2221.
9. Biham, O., Middleton, A. A. and Levine, D., Phys. Rev. A, 1992, 46, R6124.
10. May, A. D., Traffic Flow Fundamentals, Prentice-Hall, 1990.
11. Kerner, B. S., Phys. Rev. Lett., 1998, 81, 3797.
12. Lighthill, M. J. and Whitham, G. B., Proc. R. Soc. London A, 1955, 229, 281.
13. Kerner, B. S., Klenov, S. L. and Konhäuser, P., Phys. Rev. E, 1997, 56, 4200.
14. Hong, D. C. and Yue, S., Phys. Rev. E, 1998, 58, 4763.
15. Lee, H. Y., Lee, H.-W. and Kim, D., Phys. Rev. Lett., 1998, 81, 1130.
16. Helbing, D. and Treiber, M., Phys. Rev. Lett., 1998, 81, 3042.
17. Wagner, C., Hoffmann, C., Sollacher, R., Wagenhuber, J. and Schürmann, B., Phys. Rev. E, 1996, 54, 5073.
18. Nagatani, T., Physica A, 1997, 237, 67.
19. Nakanishi, K., Itoh, K., Igarashi, Y. and Bando, M., Phys. Rev. E, 1997, 55, 6519.
20. Komatsu, T. S. and Sasa, S., Phys. Rev. E, 1995, 52, 5574.
21. Hayakawa, H. and Nakanishi, K., Phys. Rev. E, 1998, 57, 3839.
22. Mason, A. D. and Woods, A.W., Phys. Rev. E, 1997, 55, 2203.
23. Sugiyama, Y. and Yamada, H., Phys. Rev. E, 1997, 55, 7749.
24. Nagatani, T. and Nakanishi, K., Phys. Rev. E, 1998, 57, 6415.
25. Wagner, C., Physica A, 1998, 260, 218.
26. Nagel, K. and Herrmann, H. J., Physica A, 1993, 199, 254.
27. Spohn, H., Large-scale Dynamics of Interacting Particles, Springer, 1991.
28. Schmittmann, B. and Zia, R. K. P., in Phase Transitions and Critical Phenomena (eds Domb, C. and Lebowitz, J. L.), Academic Press, 1995, vol. 17.
29. Schütz, G., in Phase Transitions and Critical Phenomena (eds Domb, C. and Lebowitz, J. L.), (to appear).
30. Schreckenberg, M., Schadschneider, A., Nagel, K. and Ito, N., Phys. Rev. E, 1995, 51, 2939.
31. Schadschneider, A. and Schreckenberg, M., J. Phys. A, 1998, 31, L225.
32. Schadschneider, A., Eur. Phys. J. B., 1999 (in press).
33. Chowdhury, D., Majumdar, A., Ghosh, K., Sinha, S. and Stinchcombe, R. B., Physica A, 1997, 246, 471.
34. Schadschneider, A. and Schreckenberg, M., J. Phys. A, 1997, 30, L69.
35. Chowdhury, D., Pasupathy, A. and Sinha, S., Eur. Phys. J. B., 1998, 5, 781.
36. Ghosh, K., Majumdar, A. and Chowdhury, D., Phys. Rev. E, 1998, 58, 4012.
37. Eisenblätter, B., Santen, L., Schadschneider, A. and Schreckenberg, M., Phys. Rev. E, 1998, 57, 1309.
38. Cheybani, S., Kertesz, J. and Schreckenberg, M., J. Phys. A, 1998, 31, 9787.
39. Vilar, L. C. Q. and De souza, A. M. C., Physica A, 1994, 211, 84.
40. Nagel, K., Int. J. Mod. Phys. C, 1994, 5, 567.
41. Fukui, M. and Ishibashi, Y., J. Phys. Soc. Jpn, 1996, 65, 1868.
42. Wang, B. H., Kwong, Y. R. and Hui, P. M., Physica A, 1998, 254, 122.
43. Helbing, D. and Schreckenberg, M., Phys. Rev. E, 1999, 59, R2505.
44. Nagel, K. and Paczuski, M., Phys. Rev. E, 1995, 51, 2909.
45. Bak, P., Self-Organized Criticality: Why Nature is Complex, Springer, 1996.
46. Dhar, D., Physica A, 1999, 263, 4 and references therein.
47. Krauss, S., Wagner, P. and Gawron, C., Phys. Rev. E, 1996, 54, 3707; 1997, 55, 5597.
48. Krauss, S., Wagner, P. and Gawron, C., Phys. Rev. E, 1996, 54, 3707; 1997, 55, 5597.
49. Benjamin, S. C., Johnson, N. F. and Hui, P. M., J. Phys. A, 1996, 29, 3119.
50. Takayasu, M. and Takayasu, H., Fractals, 1993, 1, 860.
51. Barlovic, R., Santen, L., Schadschneider, A. and Schreckenberg, M., Eur. Phys. J., 1998, 5, 793.
52. Schadschneider, A. and Schreckenberg, M., Ann. Phys., 1997, 6, 541.
53. Chowdhury, D., Santen, L., Schadschneider, A., Sinha, S. and Pasupathy, A., J. Phys. A, 1999, 32, 3229.
54. Csahok, Z. and Vicsek, T., J. Phys. A, 1994, 27, L591.
55. Janowsky, S. A. and Lebowitz, J. L., J. Stat. Phys., 1994, 77, 35.
56. Tripathy, G. and Barma, M., Phys. Rev. Lett., 1997, 78, 3039.
57. Ktitarev, D., Chowdhury, D. and Wolf, D. E., J. Phys. A, 1997, 30, L221.
58. Knospe, W., Santen, L., Schadschneider, A. and Schreckenberg, M., Physica A, 1999, 265, 614.
59. Krug, J. and Ferrari, P. A., J. Phys. A, 1996, 29, L465.
60. Evans, M. R., Europhys. Lett., 1996, 36, 13.
61. Wolf, D. E., Physica A, 1999, 263, 438; Chowdhury, D., Wolf, D. E. and Schreckenberg, M., Physica A, 1997, 235, 417.
62. Wolf, D. E., Physica A, 1999, 263, 438; Chowdhury, D., Wolf, D. E. and Schreckenberg, M., Physica A, 1997, 235, 417.
63. Nagel, K., Esser, J. and Rickert, M., Annu. Rev. Comp. Phys., 1999.
64. Esser, J. and Schreckenberg, M., Int. J. Mod. Phys. C, (in press).
65. Rickert, M. and Nagel, K., Int. J. Mod. Phys. C8, 1997, 483.
66. Nagel, K. and Barrett, C. L., Int. J. Mod. Phys. C8, 1997, 505.
67. Rickert, N., Diploma thesis, Cologne University, 1994.
68. Nagel, K., Ph D thesis, Cologne University, 1995.
69. S. Tadaki and M. Kikuchi, Phys. Rev. E, 1994, 50, 4564; J. Phys. Soc. Jpn, 1995, 64, 4504.
70. S. Tadaki and M. Kikuchi, Phys. Rev. E, 1994, 50, 4564; J. Phys. Soc. Jpn, 1995, 64, 4504.
71. Gupta, H. S. and Ramaswamy, R., J. Phys. A, 1996, 29, L547.
72. Fukui, M. and Ishibashi, Y., J. Phys. Soc. Jpn, 1996, 65, 1871.
73. Molera, J. M., Martinez, F. C., Cuesta, J. A. and Brito, R., Phys. Rev. E, 1995, 51, 175.
74. Nagatani, T., J. Phys. Soc. Jpn, 1993, 62, 2656.
75. Nagatani, T., Phys. Rev. E, 1993, 48, 3290.
76. Wang, B. H., Woo, Y. F. and Hui, P. M., J. Phys. A, 1996, 29, L31; J. Phys. Soc. Jpn, 1996, 65, 2345.
77. Wang, B. H., Woo, Y. F. and Hui, P. M., J. Phys. A, 1996, 29, L31; J. Phys. Soc. Jpn, 1996, 65, 2345.
78. Chung, K. H., Hui, P. M.and Gu, G. Q., Phys. Rev. E, 1995, 51, 772.
79. Nagatani, T., J. Phys. A, 1993, 26, L1015; J. Phys. Soc. Jpn, 1993, 62, 1085.
80. Nagatani, T., J. Phys. A, 1993, 26, L1015; J. Phys. Soc. Jpn, 1993, 62, 1085.
81. Gu, G. Q., Chung, K. H. and Hui, P. M., Physica A, 1995, 217, 339.
82. Nagatani, T., Physica A, 1993, 198, 108.
83. Nagatani, T., J. Phys. Soc. Jpn, 1995, 64, 1421.
84. Martines, F. C., Cuesta, J. A., Molera, J. M. and Brito, R., Phys. Rev. E, 1995, 51, R835; Nagatani, T., J. Phys. Soc. Jpn, 1994, 63, 1228.
85. Martines, F. C., Cuesta, J. A., Molera, J. M. and Brito, R., Phys. Rev. E, 1995, 51, R835; Nagatani, T., J. Phys. Soc. Jpn, 1994, 63, 1228.
86. Nagatani, T. and Seno, T., Physica A, 1994, 207, 574.
87. Freund, J. and Pöschel, T., Physica A, 1995, 219, 95.
88. Chopard, B., Luthi, P. O. and Queloz, P. A., J. Phys. A, 1996, 29, 2325.
89. Török, J. and Kertesz, J., Physica A, 1996, 231, 515.
90. Fukui, M., Oikawa, H. and Ishibashi, Y., J. Phys. Soc. Jpn, 1996, 65, 2514.
91. Horiguchi, T. and Sakakibara, T., Physica A, 1998, 252, 388.
92. Simon, P. M. and Nagel, K., Phys. Rev. E, 1998, 58, 1286.
93. Chowdhury, D. and Schadschneider, A., Phys. Rev. E, 1999, 59, R1311; Chowdhury, D., Klauck, K., Santen, L., Schadschneider, A. and Zittartz, J., (to be published).
94. Chowdhury, D. and Schadschneider, A., Phys. Rev. E, 1999, 59, R1311; Chowdhury, D., Klauck, K., Santen, L., Schadschneider, A. and Zittartz, J., (to be published).
95. Schütz, G. M., Int. J. Mod. Phys. B, 1997, 11, 197.
96. Ben-Naim, E. and Krapivsky, P. L., Phys. Rev. E, 1997, 56, 6680.
97. Csabai, I., J. Phys. A., 1994, 27, L417.
98. Ohira, T. and Sawatari, R., Phys. Rev. E, 1998, 58, 193.
99. Takayasu, M., Yu Tretyakov, A., Fukuda, K. and Takayasu, H., in ref. 5.