Totally asymmetric exclusion process on chains with a double-chain section in the middle: Computer simulations and a simple theory

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

Volumn 69, Issue 6 2, 2004, Pages

  Brankov, Jordan ^a   Pesheva, Nina ^a   Bunzarova, Nadezhda ^a  

^a INSTITUTE OF MECHANICS   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; APPROXIMATION THEORY; BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; COMPUTER SIMULATION; CORRELATION METHODS; ERROR ANALYSIS; PARAMETER ESTIMATION; PROBABILITY; RANDOM PROCESSES;

CHAIN SEGMENTS; DOUBLE-CHAIN SECTIONS; EXCLUSION PROCESS; PHASE STRUCTURES;

STOCHASTIC CONTROL SYSTEMS;

EID: 37649031598     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.066128     Document Type: Article

References (31)

1. C. T. MacDonald, J. H. Gibbs, and A. C. Pipkin, Biopolymers 6, 1 (1968).
2. F. Spitzer, Adv. Math. 5, 246 (1970).
3. J. Krug, Phys. Rev. Lett. 67, 1882 (1991).
4. B. Derrida, E. Domany, and D. Mukamel, J. Stat. Phys. 69, 667 (1992).
5. G. Schütz and E. Domany, J. Stat. Phys. 72, 277 (1993).
6. B. Derrida, M. R. Evans, V. Hakim, and V. Pasquier, J. Phys. A 26, 1493 (1993).
7. N. Rajewsky, A. Schadschneider, and M. Schreckenberg, J. Phys. A 29, L305 (1996).
8. A. Honecker and I. Peschel, J. Stat. Phys. 88, 319 (1997).
9. H. Hinrichsen, J. Phys. A 29, 3659 (1996).
10. N. Rajewsky and M. Schreckenberg, Physica A 245, 139 (1997).
11. M. R. Evans, N. Rajewsky, and E. R. Speer, J. Stat. Phys. 95, 45 (1999).
12. J. de Gier and B. Nienhuis, Phys. Rev. E 59, 4899 (1999).
13. J. Brankov and N. Pesheva, Phys. Rev. E 63, 046111 (2001).
14. S. A. Janovsky and J. L. Lebowitz, Phys. Rev. A 45, 618 (1992).
15. F. H. Jafarpour, J. Phys. A 33, 8673 (2000).
16. P. F. Arndt, T. Heinzel, and V. Rittenberg, J. Phys. A 31, 833 (1998).
17. V. Karimipour, Europhys. Lett. 47, 304 (1999).
18. G. M. Schütz, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic Press, London, 2001), Vol. 19.
19. D. Helbing, Rev. Mod. Phys. 73, 1067 (2001).
20. K. Nagel and M. Schreckenberg, J. Phys. I 2, 2221 (1992).
21. M. Schreckenberg, A. Schadschneider, K. Nagel, and N. Ito, Phys. Rev. E 51, 2939 (1995).
22. M. M. Pedersen and P. T. Ruhoff, Phys. Rev. E 65, 056705 (2002).
23. R. Jiang, Q.-S. Wu, and B.-H. Wang, Phys. Rev. E 66, 036104 (2002).
24. V. Popkov, L. Santen, A. Schadschneider, and G. M. Schütz, J. Phys. A 34, L45 (2001).
25. K. Nagel, D. E. Wolf, P. Wagner, and P. Simon, Phys. Rev. E 58, 1425 (1998).
26. O. Biham, A. A. Middleton, and D. Levine, Phys. Rev. A 46, R6124 (1992).
27. T. Nagatani, J. Phys. A 198, 108 (1993).
28. S.-i. Tadaki and M. Kikuchi, Phys. Rev. E 50, 4564 (1994).
29. T. Nagatani, Phys. Rev. E 48, 3290 (1993).
30. S.-i. Tkdaki, Phys. Rev. E 54, 2409 (1996).
31. A. Benyoussef, H. Chakib, and H. Ez-Zahraouy, Phys. Rev. E 68, 026129 (2003).