Surface structure and catalytic CO oxidation oscillations

Physica A: Statistical Mechanics and its Applications

Volumn 229, Issue 3-4, 1996, Pages 428-443

  Danielak, R ^a,b   Perera, A ^a   Moreau, M ^a   Frankowicz, M ^b   Kapral, R ^c  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b JAGIELLONIAN UNIVERSITY   (Poland)

^c UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATA THEORY; CARBON MONOXIDE; DIFFUSION; OSCILLATIONS; PHASE TRANSITIONS; PLATINUM; REACTION KINETICS; SURFACE STRUCTURE; SYNCHRONIZATION;

CATALYTIC OXIDATION; CELLULAR AUTOMATON MODEL; SPATIOTEMPORAL DYNAMICS;

OXIDATION;

EID: 0030212785     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/0378-4371(96)00031-3     Document Type: Article

References (34)

1. For reviews see, for instance, G. Ertl, Adv. Catal. 37 (1990) 211; R. Imbihl, Prog. Surf. Sci. 44 (1993) 183.
2. For reviews see, for instance, G. Ertl, Adv. Catal. 37 (1990) 211; R. Imbihl, Prog. Surf. Sci. 44 (1993) 183.
3. M. Eiswirth and G. Ertl, in: Chemical Waves and Patterns, eds. R. Kapral and K. Showalter (Kluwer, Dordrecht, 1995) p. 447.
4. G. Ertl, P.R. Norton and J. Rüstig, Phys. Rev. Lett. 49 (1982) 177.
5. M.P. Cox, G. Ertl and R. Imbihl, Phys. Rev. Lett. 54 (1985) 1725; R. Imbihl, M.P. Cox and G. Ertl, J. Chem. Phys. 84 (1986) 3519.
6. M.P. Cox, G. Ertl and R. Imbihl, Phys. Rev. Lett. 54 (1985) 1725; R. Imbihl, M.P. Cox and G. Ertl, J. Chem. Phys. 84 (1986) 3519.
7. R. Imbihl, M.P. Cox, G. Ertl, H. Müller and W. Brenig, J. Chem. Phys. 83 (1985) 1587.
8. P. Möller, K. Wetzl, M. Eiswirth and G. Ertl, J. Chem. Phys. 85 (1986) 5328.
9. M. Eiswirth, P. Möller, K. Wetzl, R. Imbihl and G. Ert, J. Chem. Phys. 90 (1989) 510.
10. T. Engel and G. Ertl, Adv. Catal. 28 (1979) 1.
11. M.A. Van Hove, R.J. Koestner, P.C. Stair, J.P. Biberian, L.L. Kesmodel, I. Bartos and G.A. Somorjai, Surf. Sci. 103 (1981) 218.
12. The situation is different for Pt(110) where global coupling through the gas phase is believed to play a significant role (cf. Ref. [7]).
13. See, for instance, M. Bär, N. Gottschalk, M. Eiswirth and G. Ertl, J. Chem. Phys. 100 (1994) 1202; Ref. [2].
14. X.G. Wu and R. Kapral. Physica A 188 (1992) 284.
15. M. Markus and B. Hess, Nature 347 (1990) 56; M. Markus and K. Stavidis, Phil. Trans. R. Soc. Lond. A 347 (1994) 601.
16. M. Markus and B. Hess, Nature 347 (1990) 56; M. Markus and K. Stavidis, Phil. Trans. R. Soc. Lond. A 347 (1994) 601.
17. M. Gerhardt, H. Schuster and J.J. Tyson, Science 247 (1990) 1563; Physica D 46 (1990) 392.
18. M. Gerhardt, H. Schuster and J.J. Tyson, Science 247 (1990) 1563; Physica D 46 (1990) 392.
19. J. Weimar and J.P. Boon, Phys. Rev. E 49 (1994) 1749.
20. R.M. Ziff, E. Gulari and Y. Barshad, Phys. Rev. Lett. 56 (1986) 2553; F. Bagnoli, B. Sente, M. Dumond and R. Dagonnier, J. Chem. Phys. 94 (1991) 777.
21. R.M. Ziff, E. Gulari and Y. Barshad, Phys. Rev. Lett. 56 (1986) 2553; F. Bagnoli, B. Sente, M. Dumond and R. Dagonnier, J. Chem. Phys. 94 (1991) 777.
22. H.P. Kaukonen and R. Nieminen, J. Chem. Phys. 97 (1989) 4380; E.L. Pechatnikov, M. Frankowicz and R. Danielak, Acta Phys. Polon. B 25 (1994) 993.
23. H.P. Kaukonen and R. Nieminen, J. Chem. Phys. 97 (1989) 4380; E.L. Pechatnikov, M. Frankowicz and R. Danielak, Acta Phys. Polon. B 25 (1994) 993.
24. J.-P. Boon, D. Dab, R. Kapral and A. Lawniczak, Phys. Reports 273 (1996) 55.
25. J. Von Neumann, in: Theory of Self-Replicating Automata, ed. A.W. Birks (University of Illinois, Urbana, 1966); in: Theory and Applications of Cellular Automata, ed. S. Wolfram (World Scientific, Singapore, 1986); R. Kapral, J. Math. Chem. 6 (1991) 113.
26. J. Von Neumann, in: Theory of Self-Replicating Automata, ed. A.W. Birks (University of Illinois, Urbana, 1966); in: Theory and Applications of Cellular Automata, ed. S. Wolfram (World Scientific, Singapore, 1986); R. Kapral, J. Math. Chem. 6 (1991) 113.
27. J. Von Neumann, in: Theory of Self-Replicating Automata, ed. A.W. Birks (University of Illinois, Urbana, 1966); in: Theory and Applications of Cellular Automata, ed. S. Wolfram (World Scientific, Singapore, 1986); R. Kapral, J. Math. Chem. 6 (1991) 113.
28. H1 which lead to less well-defined surface structures.
29. Such bifurcation diagrams do not have precisely defined bifurcation boundaries in view of the probabilistic character of the dynamics. While individual realizations may not always conform to the dynamics indicated by such a bifurcation diagram, in our case the overwhelming majority of realizations do yield the behavior shown in the figure.
30. K. Krishier, M. Eiswirth and G. Ertl, J. Chem. Phys. 96 (1992) 9161.
31. Y. Kuramoto, Chemical oscillations, Waves and Turbulence (Springer, Berlin, 1980).
32. S. Nettesheim, A von Oertzen, H.H. Rottermund and G. Ertl, J. Chem. Phys. 98 (1993) 9977.
33. G. Veser and R. Imbihl, J. Chem. Phys. 100 (1994) 8483;
34. ibid., J. Chem. Phys. 100 (1994) 8492.