Two-dimensional two-state lattice-gas model

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

Volumn 71, Issue 3, 2005, Pages

  Braun, O M ^a,b   Hu, Bambi ^b,c  

^a INSTITUTE OF PHYSICS   (Ukraine)

^b HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

^c University of Houston   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DRIVEN DIFFUSE SYSTEMS; IMMOBILE ATOMS; POWER LAW DISTRIBUTIONS; TWO DIMENSIONAL TWO STATE LATTICE GAS MODELS;

ATOMS; COMPUTER SIMULATION; FUNCTIONS; MATHEMATICAL MODELS; PROBABILITY; STATISTICAL MECHANICS;

GAS DYNAMICS;

EID: 41349100411     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.031111     Document Type: Article

References (35)

1. O. M. Braun and Yu. S. Kivshar, The Frenkel-Kontorova Model: Concepts, Methods, and Applications (Springer-Verlag, Berlin, 2004); Phys. Rep. 306, 1 (1998).
2. O. M. Braun and Yu. S. Kivshar, The Frenkel-Kontorova Model: Concepts, Methods, and Applications (Springer-Verlag, Berlin, 2004); Phys. Rep. 306, 1 (1998).
3. O. M. Braun, B. Hu, A. Filippov, and A. Zeltser, Phys. Rev. E 58, 1311 (1998); O. Braun and B. Hu, J. Stat. Phys. 92, 629 (1998).
4. O. M. Braun, B. Hu, A. Filippov, and A. Zeltser, Phys. Rev. E 58, 1311 (1998); O. Braun and B. Hu, J. Stat. Phys. 92, 629 (1998).
5. S. Katz, J. L. Lebowitz, and H. Spohn, J. Stat. Phys. 34, 497 (1984).
6. J. Krug, Phys. Rev. Lett. 67, 1882 (1991).
7. B. Derrida, E. Domany, and D. Mukamel, J. Stat. Phys. 69, 667 (1992).
8. T. M. Liggett Stochastic Interacting Systems: Contact, Voter and Exclusion Processes (Springer, New York, 1999), Vol. 324.
9. G. M. Schütz, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. Lebowitz (Academic, London, 2000), Vol. 19, p. 1251.
10. Traffic and Granular Flow, edited by M. Schreckenberg and D. E. Wolf (Springer, Singapore, 1998).
11. Traffic and Granular Flow, edited by D. Helbing, H. J. Herrmann, and M. Schreckenberg (Springer, New York, 2000).
12. D. Chowdhury, L. Santen, and A. Schadschneider, Phys. Rep. 329, 329 (2000).
13. D. Helbing, Rev. Mod. Phys. 73, 1067 (2001).
14. K. Nagel and M. Schreckenberg, J. Phys. I 2, 2221 (1992).
15. O. Biham, A. A. Middelton, and D. A. Levine, Phys. Rev. A 46, R6124 (1992).
16. M. Schreckenberg, A. Schadschneider, K. Nagel, and N. Ito, Phys. Rev. E 51, 2939 (1995).
17. W. Knospe, L. Santen, A. Schadschneider, and M. Schreckenberg, Phys. Rev. E 70, 016115 (2004).
18. T. Nagatani, J. Phys. A 26, L781 (1993); Physica A 202, 449 (1994).
19. T. Nagatani, J. Phys. A 26, L781 (1993); Physica A 202, 449 (1994).
20. T. Nagatani, J. Phys. Soc. Jpn. 63, 52 (1994); J. Phys. A 29, 6531 (1996).
21. T. Nagatani, J. Phys. Soc. Jpn. 63, 52 (1994); J. Phys. A 29, 6531 (1996).
22. P. Wagner, K. Nagel, and D. E. Wolf, Physica A 234, 687 (1997).
23. D. Chowdhury, D. E. Wolf, and M. Schreckenberg, Physica A 235, 417 (1997).
24. W. Knospe, L. Santen, A. Schadschneider, and M. Schreckenberg, Physica A 265, 614 (1999).
25. T. Nagatani, Phys. Rev. E 48, 3290 (1993); 59, 4857 (1999); Physica A 271, 200 (1999).
26. T. Nagatani, Phys. Rev. E 48, 3290 (1993); 59, 4857 (1999); Physica A 271, 200 (1999).
27. T. Nagatani, Phys. Rev. E 48, 3290 (1993); 59, 4857 (1999); Physica A 271, 200 (1999).
28. T. Horiguchi and T. Sakakibara, Physica A 252, 388 (1998).
29. B. H. Wang, Y. R. Kwong, P. M. Hui, and Bambi Hu, Phys. Rev. E 60, 149 (1999).
30. O. M. Braun, T. Dauxois, M. V. Paliy, and M. Peyrard, Phys. Rev. Lett. 78, 1295 (1997); Phys. Rev. E 55, 3598 (1997).
31. O. M. Braun, T. Dauxois, M. V. Paliy, and M. Peyrard, Phys. Rev. Lett. 78, 1295 (1997); Phys. Rev. E 55, 3598 (1997).
32. M. V. Paliy, O. M. Braun, T. Dauxois, and B. Hu, Phys. Rev. E 56, 4025 (1997).
33. A set of histograms for different variants and parameters of the 2D model as well as movies illustrating evolution of the model are available at http://www.iop.kiev.ua/~obraun/lattice.htm
34. O. M. Braun, B. Hu, and J. Tekić, Phys. Rev. E 71, 026104 (2005).
35. Kiwing To, Pik-Yin Lai, and H. K. Pak, Phys. Rev. Lett. 86, 71 (2001).