Critical behavior in an atomistic model for a bistable surface reaction: CO oxidation with rapid CO diffusion

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

Volumn 68, Issue 1 2, 2003, Pages 162121-162128

  Pavlenko, N ^a,d   Imbihl, R ^a   Evans, J W ^b,c   Liu, Da Jiang ^b  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

^b IOWA STATE UNIVERSITY   (United States)

^c IOWA STATE UNIVERSITY   (United States)

^d TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ADSORPTION; BIFURCATION (MATHEMATICS); CARBON MONOXIDE; DIFFUSION;

NANOSCALE SYSTEMS;

SURFACE REACTIONS;

EID: 3543003759     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (41)

1. Surface Science of Catalysis, Vol. 482 of ACS Symposium Series, American Chemical Society, edited by D.J. Dwyer and F.M. Hoffmann (American Chemical Society, Washington, DC, 1992).
2. R. Imbihl and G. Ertl, Chem. Rev. (Washington, D.C.) 95, 697 (1995).
3. G. Ertl, Adv. Catal. 37, 213 (1991).
4. L.F. Razon and R.A. Schimtz, Catal. Rev. - Sci. Eng. 28, 89 (1986).
5. V.P. Zhdanov and B. Kasemo, Surf. Sci. Rep. 39, 25 (2000).
6. Y. Suchorski, J. Beben, E.W. James, J.W. Evans, and R. Imbihl, Phys. Rev. Lett. 82, 1907 (1999).
7. Y. Suchorski, J. Beben, R. Imbihl, E.W. James, D.-J. Liu, and J.W. Evans, Phys. Rev. B 63, 165417 (2001).
8. S. Völkening, K. Bedürftig, K. Jacobi, J. Wintterlin, and G. Ertl, Phys. Rev. Lett. 83, 2672 (1999).
9. V.P. Zhdanov and B. Kasemo, Surf. Sci. 496, 251 (2002).
10. W. Ebeling and L. Schimansky-Geier, Physica A 98, 587 (1979).
11. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990).
12. H. Malchow and L. Schimansky-Geier, Noise and Diffusion in Bistable Nonequilibrium Systems (Teubner-Verlag, Leipzig, 1986), Chap. 3.
13. C.W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences (Springer-Verlag, Berlin, 1983), Chap. 9.
14. T. Engel and G. Ertl, Adv. Catal. 28, 1 (1979).
15. S. Völkening and J. Wintterlin, J. Chem. Phys. 114, 6382 (2001).
16. J.W. Evans, D.-J. Liu, and M. Tammaro, Chaos 12, 131 (2002).
17. R.M. Ziff, E. Gulari, and Y. Barshad, Phys. Rev. Lett. 56, 2553 (1986).
18. E.W. James, C. Song, and J.W. Evans, J. Chem. Phys. 111, 6579 (1999).
19. V.P. Zhdanov and B. Kasemo, Surf. Sci. 412/413, 527 (1998).
20. T. Tomé and R. Dickman, Phys. Rev. E 47, 948 (1993).
21. C.A. Voigt and R.M. Ziff, Phys. Rev. E 56, R6241 (1997).
22. J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, 1999).
23. H. Hinrichsen, Adv. Phys. 49, 815 (2000).
24. D.-J. Liu and J.W. Evans, Phys. Rev. Lett. 84, 955 (2000).
25. M. Tammaro, M. Sabella, and J.W. Evans, J. Chem. Phys. 103, 10277 (1995).
26. S.-L. Chang and P.A. Thiel, Phys. Rev. Lett. 59, 296 (1987).
27. C.R. Brundle, R.J. Behm, and J.A. Barker, J. Vac. Sci. Technol. A 2, 1038 (1984).
28. D.-J. Liu and J.W. Evans, J. Chem. Phys. 117, 7319 (2002).
29. A.M. Ferrenberg and R.H. Swendsen, Phys. Rev. Lett. 61, 2635 (1988).
30. M.N. Barber, in Phase Transitions and Critical Phenomena, edited by C. Domb and J.L. Lebowitz (Academic Press, New York, 1983), Vol. 8, pp. 146-268.
31. K. Huang, Statistical Mechanics, 2nd ed. (Wiley, New York, 1987).
32. G. Orkoulas, M.E. Fisher, and A.Z. Panagiotopoulos, Phys. Rev. E 63, 051507 (2001).
33. V. Privman and M.E. Fisher, J. Stat. Phys. 33, 385 (1983).
34. P. Hanggi, H. Grabert, P. Talkner, and H. Thomas, Phys. Rev. A 29, 371 (1984).
35. K.K. Mon and K. Binder, Phys. Rev. E 48, 2498 (1993).
36. D.-J. Liu, N. Pavlenko, and J.W. Evans, e-print cond-mat/0304386.
37. c(∞) = 0.0273(2).
38. N. Pavlenko, J.W. Evans, D.-J. Liu, and R. Imbihl, Phys. Rev. E 65, 016121 (2002).
39. J.W. Evans, J. Chem. Phys. 97, 572 (1992).
40. J.W. Evans, J. Chem. Phys. 98, 2463 (1993).
41. V.P. Zhdanov and B. Kasemo, Surf. Sci. Rep. 20, 111 (1994).