Flow properties of driven-diffusive lattice gases: Theory and computer simulation

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

Volumn 65, Issue 4, 2002, Pages

  Chowdhury, Debashish ^a   Wang, Jian Sheng ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DATA REDUCTION; DENSITY (SPECIFIC GRAVITY); DIFFUSION; FLOW OF FLUIDS; FLUXES; MATHEMATICAL MODELS; SOFTWARE PROTOTYPING;

GAP DISTRIBUTION; INTERPARTICLE INTERACTIONS; LATTICE GASES; MEAN-FIELD THEORIES;

GAS DYNAMICS;

EID: 41349092477     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.046126     Document Type: Article

References (38)

1. B. Schmittmann and R. K. P. Zia, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic Press, New York, 1995), Vol. 17; Phys. Rep. 301, 45 (1998); R. K. P. Zia and L. B. Shaw, B. Schmittmann, and R. J. Astalos, e-print cond-mat/9906376.
2. B. Schmittmann and R. K. P. Zia, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic Press, New York, 1995), Vol. 17; Phys. Rep. 301, 45 (1998); R. K. P. Zia and L. B. Shaw, B. Schmittmann, and R. J. Astalos, e-print cond-mat/9906376.
3. B. Schmittmann and R. K. P. Zia, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic Press, New York, 1995), Vol. 17; Phys. Rep. 301, 45 (1998); R. K. P. Zia and L. B. Shaw, B. Schmittmann, and R. J. Astalos, e-print cond-mat/9906376.
4. G. Schütz, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic Press, New York, 2000), Vol. 19.
5. Nonequilibrium Statistical Mechanics in One Dimension, edited by V. Privman (Cambridge University Press, Cambridge, 1997).
6. J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press Cambridge, 1999).
7. S. Katz, J. L. Lebowitz, and H. Spohn, Phys. Rev. B 28, 1655 (1983); J. Stat. Phys. 34, 497 (1984).
8. S. Katz, J. L. Lebowitz, and H. Spohn, Phys. Rev. B 28, 1655 (1983); J. Stat. Phys. 34, 497 (1984).
9. D. Chowdhury, L. Santen, and A. Schadschneider, Phys. Rep. 329, 199 (2000).
10. D. Helbing, e-print cond-mat/0012229.
11. Traffic and Granular Flow, edited by D. E. Wolf, M. Schreckenberg, and A. Bachern (World Scientific, Singapore, 1996); Traffic and Granular Flow'97, edited by M. Schreckenberg and D. E. Wolf (Springer, Singapore, 1998); Traffic and Granular Flow'99, edited by D. Helbing, H. J. Hermann, M. Schreckenberg, and D. E. Wolf (Springer, Berlin, 2000).
12. Traffic and Granular Flow, edited by D. E. Wolf, M. Schreckenberg, and A. Bachern (World Scientific, Singapore, 1996); Traffic and Granular Flow'97, edited by M. Schreckenberg and D. E. Wolf (Springer, Singapore, 1998); Traffic and Granular Flow'99, edited by D. Helbing, H. J. Hermann, M. Schreckenberg, and D. E. Wolf (Springer, Berlin, 2000).
13. Traffic and Granular Flow, edited by D. E. Wolf, M. Schreckenberg, and A. Bachern (World Scientific, Singapore, 1996); Traffic and Granular Flow'97, edited by M. Schreckenberg and D. E. Wolf (Springer, Singapore, 1998); Traffic and Granular Flow'99, edited by D. Helbing, H. J. Hermann, M. Schreckenberg, and D. E. Wolf (Springer, Berlin, 2000).
14. A. D. May, Traffic Flow Fundamentals (Prentice-Hall, Engle-wood Cliffs, NJ, 1990).
15. R. Dickman, Phys. Rev. A 34, 4246 (1986); 38, 2588 (1988); 41, 2192 (1990).
16. R. Dickman, Phys. Rev. A 34, 4246 (1986); 38, 2588 (1988); 41, 2192 (1990).
17. R. Dickman, Phys. Rev. A 34, 4246 (1986); 38, 2588 (1988); 41, 2192 (1990).
18. N. C. Pesheva, Y. Shnidman, and R. K. P. Zia, J. Stat. Phys. 70, 737 (1993).
19. O. Szabó, A. Szolnoki, and L. Bodócs, Phys. Rev. A 44, 6375 (1991).
20. A. Szolnoki and G. Szabó, Phys. Rev. E 48, 611 (1993).
21. G. Szabó and A. Szolnoki, Phys. Rev. E 49, 299 (1994); 53, 196 (1996).
22. G. Szabó and A. Szolnoki, Phys. Rev. E 49, 299 (1994); 53, 196 (1996).
23. M. Schreckenberg, A. Schadschneider, K. Nagel, and N. Ito, Phys. Rev. E 51, 2939 (1995); A. Schadschneider, and M. Schreckenberg, J. Phys. A 26, L679 (1993); A. Schadschneider, Eur. Phys. J. B 10, 573 (1999).
24. M. Schreckenberg, A. Schadschneider, K. Nagel, and N. Ito, Phys. Rev. E 51, 2939 (1995); A. Schadschneider, and M. Schreckenberg, J. Phys. A 26, L679 (1993); A. Schadschneider, Eur. Phys. J. B 10, 573 (1999).
25. M. Schreckenberg, A. Schadschneider, K. Nagel, and N. Ito, Phys. Rev. E 51, 2939 (1995); A. Schadschneider, and M. Schreckenberg, J. Phys. A 26, L679 (1993); A. Schadschneider, Eur. Phys. J. B 10, 573 (1999).
26. D. Chowdhury, A. Majumdar, K. Ghosh, S. Sinha, and R. B. Stinchcombe, Physica A 246, 471 (1997).
27. K. Ghosh, A. Majumdar, and D. Chowdhury, Phys. Rev. E 58, 4012 (1998); D. Chowdhury, A. Pasupathy, and S. Sinha, Eur. Phys. J. B 5, 781 (1998).
28. K. Ghosh, A. Majumdar, and D. Chowdhury, Phys. Rev. E 58, 4012 (1998); D. Chowdhury, A. Pasupathy, and S. Sinha, Eur. Phys. J. B 5, 781 (1998).
29. J. S. Wang, J. Stat. Phys. 82, 1409 (1996).
30. H. Spohn, Large Scale Dynamics of Interacting Particles (Springer, New York, 1991).
31. B. Derrida and M. R. Evans, in Non-Equilibrium Statistical Mechanics in One Dimension, edited by V. Privman (Cambridge University Press, Cambridge, 1997); B. Derrida, Phys. Rep. 301, 65 (1998).
32. B. Derrida and M. R. Evans, in Non-Equilibrium Statistical Mechanics in One Dimension, edited by V. Privman (Cambridge University Press, Cambridge, 1997); B. Derrida, Phys. Rep. 301, 65 (1998).
33. A. Szolnoki (private communication); we are indebted to Dr. Szolnoki for drawing our attention to this relation.
34. K. Nagel and M. Schreckenberg, J. Phys. 12, 2221 (1992).
35. L. Gray and D. Griffeath, J. Stat. Phys. 105, 413 (2001).
36. G. Szabó, A. Szolnoki, Z. Juhász, and G. Ódor, Physica A 191, 445 (1992).
37. J. S. Hager, J. Krug, V. Popkov, and G. M. Schütz, Phys. Rev. E 63, 056110 (2001); J. S. Hager, ibid. 63, 067103 (2001).
38. J. S. Hager, J. Krug, V. Popkov, and G. M. Schütz, Phys. Rev. E 63, 056110 (2001); J. S. Hager, ibid. 63, 067103 (2001).