CO-oxidation model with superlattice ordering of adsorbed oxygen. I. Steady-state bifurcations

Journal of Chemical Physics

Volumn 111, Issue 14, 1999, Pages 6579-6589

  James, E W ^a   Song, C ^a   Evans, J W ^a  

^a IOWA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000809859     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.479949     Document Type: Article

References (44)

1. R. Imbihl and G. Ertl, Chem. Rev. 95, 697 (1995).
2. J. Wintterlin, S. Volkening, T. V. W. Janssens, T. Zambelli, and G. Ertl, Science 278, 1931 (1997).
3. M. Tammaro and J. W. Evans, Surf. Sci. Lett. 395, L207 (1998).
4. E. V. Albano, Heterog. Chem. Rev. 3, 389 (1996); J. W. Evans and M. Sabella, Trends Stat. Phys. 1, 107 (1994); V. P. Zhdanov and B. Kasemo, Surf. Sci. Rep. 20, 111 (1994); J. W. Evans, Langmuir 7, 2514 (1991).
5. E. V. Albano, Heterog. Chem. Rev. 3, 389 (1996); J. W. Evans and M. Sabella, Trends Stat. Phys. 1, 107 (1994); V. P. Zhdanov and B. Kasemo, Surf. Sci. Rep. 20, 111 (1994); J. W. Evans, Langmuir 7, 2514 (1991).
6. E. V. Albano, Heterog. Chem. Rev. 3, 389 (1996); J. W. Evans and M. Sabella, Trends Stat. Phys. 1, 107 (1994); V. P. Zhdanov and B. Kasemo, Surf. Sci. Rep. 20, 111 (1994); J. W. Evans, Langmuir 7, 2514 (1991).
7. E. V. Albano, Heterog. Chem. Rev. 3, 389 (1996); J. W. Evans and M. Sabella, Trends Stat. Phys. 1, 107 (1994); V. P. Zhdanov and B. Kasemo, Surf. Sci. Rep. 20, 111 (1994); J. W. Evans, Langmuir 7, 2514 (1991).
8. W. H. Weinberg, Annu. Rev. Phys. Chem. 34, 217 (1983); K. Binder and D. P. Landau, Adv. Chem. Phys. 26, 91 (1989).
9. W. H. Weinberg, Annu. Rev. Phys. Chem. 34, 217 (1983); K. Binder and D. P. Landau, Adv. Chem. Phys. 26, 91 (1989).
10. J. W. Evans and T. R. Ray, Phys. Rev. E 50, 4302 (1994).
11. M. Tammaro, M. Sabella, and J. W. Evans, J. Chem. Phys. 103, 10277 (1995).
12. M. Tammaro and J. W. Evans, J. Chem. Phys. 108, 762 (1998).
13. J. W. Evans and M. Tammaro, in Computer Simulation Studies in Condensed Matter Physics XI, edited by D. P. Landau and H. B. Schuettler (Springer, Berlin, 1998), pp. 103-117; M. Tammaro and J. W. Evans, Phys. Rev. E 57, 5087 (1998).
14. J. W. Evans and M. Tammaro, in Computer Simulation Studies in Condensed Matter Physics XI, edited by D. P. Landau and H. B. Schuettler (Springer, Berlin, 1998), pp. 103-117; M. Tammaro and J. W. Evans, Phys. Rev. E 57, 5087 (1998).
15. M. Silverberg and A. Ben-Shaul, J. Chem. Phys. 87, 3178 (1989); H. C. Kang, T. A. Jachimowiski, and W. H. Weinberg, J. Chem. Phys. 93, 1418 (1990).
16. M. Silverberg and A. Ben-Shaul, J. Chem. Phys. 87, 3178 (1989); H. C. Kang, T. A. Jachimowiski, and W. H. Weinberg, J. Chem. Phys. 93, 1418 (1990).
17. G. A. Somorjai, Introduction to Surface Chemistry and Catalysis (Wiley, New York, 1994).
18. Y. Suchorski, J. Beben, E. W. James, J. W. Evans, and R. Imbihl, Phys. Rev. Lett. 82, 1907 (1999).
19. C. R. Brundle, R. J. Behm, and J. A. Barker, J. Vac. Sci. Technol. A 2, 1038 (1984).
20. S.-L. Chang and P. A. Thiel, Phys. Rev. Lett. 59, 296 (1987); S.-L. Chang, D. E. Sanders, J. W. Evans, and P. A. Thiel, in The Structure of Surfaces II, Proceedings of ICSOS II, edited by J. F. van der Veen and M. A. Van Hove (Springer, Berlin, 1988), pp. 231-237.
21. S.-L. Chang and P. A. Thiel, Phys. Rev. Lett. 59, 296 (1987); S.-L. Chang, D. E. Sanders, J. W. Evans, and P. A. Thiel, in The Structure of Surfaces II, Proceedings of ICSOS II, edited by J. F. van der Veen and M. A. Van Hove (Springer, Berlin, 1988), pp. 231-237.
22. J. W. Evans, J. Chem. Phys. 87, 3038 (1987); J. W. Evans and D. E. Sanders, Phys. Rev. B 39, 1587 (1989).
23. J. W. Evans, J. Chem. Phys. 87, 3038 (1987); J. W. Evans and D. E. Sanders, Phys. Rev. B 39, 1587 (1989).
24. R. M. Ziff, E. Gulari, and Y. Barshad, Phys. Rev. Lett. 56, 2553 (1986).
25. V. P. Zhdanov and B. Kasemo, Surf. Sci. 412/413, 527 (1998).
26. F. H. Ree and D. A. Chesnut, J. Chem. Phys. 45, 3983 (1966).
27. J. W. Evans, Rev. Mod. Phys. 65, 1281 (1993).
28. The density of "internal defects" or "holes," H, in c(2X2) domains is given by (formula presented)
29. Lattice-gas reaction models with finite adspecies hop rates can have only one true stable steady state, perhaps coexisting with a metastable steady state with a finite lifetime.
30. R. M. Ziff and B. J. Brosilow, Phys. Rev. A 46, 4630 (1992).
31. E. W. James, D.-J. Liu, and J. W. Evans (unpublished).
32. 6. These terms correspond to choosing the central empty sites on the B-populated and B-unpopulated sublattices, respectively. The result differs from that obtained via Eq. (9), but is still inaccurate.
33. J. W. Evans, J. Chem. Phys. 98, 2463 (1993).
34. S. M. Allen and J. W. Cahn, Acta Metall. 27, 1085 (1979); I. M. Lifshitz, Sov. Phys. JETP 15, 939 (1962).
35. S. M. Allen and J. W. Cahn, Acta Metall. 27, 1085 (1979); I. M. Lifshitz, Sov. Phys. JETP 15, 939 (1962).
36. M. A. Van Hove, W. H. Weinberg, and C.-M. Chan, Low-Energy Electron Diffraction (Springer, Berlin, 1986).
37. A.-L. Barabasi and H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995).
38. R. H. Goodman, D. S. Graff, L. M. Sander, P. Lerox-Hugon, and E. Clement, Phys. Rev. E 52, 5904 (1995); H. C. Kang and W. H. Weinberg, ibid. 47, 1604 (1993); 48, 3464 (1994).
39. R. H. Goodman, D. S. Graff, L. M. Sander, P. Lerox-Hugon, and E. Clement, Phys. Rev. E 52, 5904 (1995); H. C. Kang and W. H. Weinberg, ibid. 47, 1604 (1993); 48, 3464 (1994).
40. R. H. Goodman, D. S. Graff, L. M. Sander, P. Lerox-Hugon, and E. Clement, Phys. Rev. E 52, 5904 (1995); H. C. Kang and W. H. Weinberg, ibid. 47, 1604 (1993); 48, 3464 (1994).
41. +]. This is the lowest order equation in an exact hierarchy.
42. V. Privman, in Annual Reviews of Computational Physics III, edited by D. Stauffer (World Scientific, Singapore, 1995).
43. E. W. James, D.-J. Liu, and J. W. Evans, Colloids Surf. A (to be published).
44. D.-J. Liu and J. W. Evans, Bull. Am. Phys. Soc. 44, 1387 (1999).