Spatial fluctuations and anomalous reaction order in a reactive scheme involving a cooperative full desorption

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

Volumn 70, Issue 6 1, 2004, Pages

  Cordoba Torres P ^a   Nogueira, R P ^b   Fairen V ^a  

^a UNIVERSIDAD NACIONAL DE EDUCACIÓN A DISTANCIA   (Spain)

^b UMR 8235)   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ADSORPTION; BROWNIAN MOVEMENT; CHARACTERIZATION; CHEMISORPTION; DIMERS; GASES; HYDROGEN; LATTICE CONSTANTS; RATE CONSTANTS; SURFACE PROPERTIES;

COOPERATIVE FULL DESORPTION (CFD) REACTION; KINETIC CONSTANT; REACTIVE SCHEMES; STEADY STATE PROPERTIES;

DESORPTION;

EID: 37649028668     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.061108     Document Type: Article

References (61)

1. J. M. Ripalda, A. Khatiri, T. J. Kryzewski, J. D. Gale, and T. S. Jones, Phys. Rev. B 68, 073311 (2003).
2. F. M. Zimmermann and X. Pan, Phys. Rev. Lett. 85, 618 (2000).
3. C. Filippi, S. B. Healy, P. Kratzer, E. Pehlke, and M. Scheffler, Phys. Rev. Lett. 89, 166102 (2002).
4. M. Dürr, Z. Hu, A. Biedermann, U. Höfer, and T. F. Heinz, Phys. Rev. Lett. 88, 046104 (2002).
5. T. R. Bramlett, Q. Lu, T. Karasawa, M. A. Hasan, S. K. Jo, and J. E. Greene, J. Appl. Phys. 76, 1884 (1994).
6. P.-H. Wu and D.-S. Lin, Phys. Rev. B 57, 12421 (1998).
7. T. Ohira, O. Ukai, and M. Noda, Surf. Sci. 458, 216 (2000).
8. R. W. Price, E. S. Tok, and J. Zhang, J. Cryst. Growth 209, 306 (2000).
9. H. Nakazawa and M. Suemitsu, Appl. Surf. Sci. 130-132, 298 (1998).
10. H. Nakazawa, M. Suemitsu, and N. Miyamoto, Surf. Sci. 465, 177 (2000).
11. U. Wetteraeur, A. Pusel, and P. Hess, Chem. Phys. Lett. 300, 397 (1999).
12. K. Sinniah, M. G. Sherman, L. B. Lewis, W. H. Weinberg, J. T. Yates, Jr., and K. C. Janda, Phys. Rev. Lett. 62, 567 (1989).
13. M. L. Wise, B. G. Koehler, P. Gupta, P. A. Coon, and S. M. George, Surf. Sci. 258, 166 (1991).
14. J. W. Sharp and G. Eres, Surf. Sci. 320, 169 (1994).
15. T. Ligget, Interacting Particle Systems (Springer-Verlag, New York, 1985).
16. N. G. Van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1981).
17. R. Brown and N. A. Efremov, Chem. Phys. 155, 357 (1991).
18. S. F. Burlatsky and G. Oshanin, J. Stat. Phys. 65, 1095 (1991).
19. D. C. Torney and H. M. McConnell, J. Phys. Chem. 87, 1941 (1983).
20. J. L. Spouge, Phys. Rev. Lett. 60, 871 (1988).
21. P. Argyrakis and R. Kopelman, Phys. Rev. A 41, 2114 (1990).
22. A. Lin, R. Kopelman, and P. Argyrakis, Phys. Rev. E 53, 1502 (1996).
23. P. Argyrakis and R. Kopelman, Chem. Phys. 261, 391 (2000).
24. B. Ben-Avraham and S. Havlin, Diffusion and Reactions in Fractals and Disordered Systems (Cambridge University Press, Cambridge, England, 2000).
25. T. O. Masser and D. ben-Avraham, Phys. Rev. E 64, 062101 (2001).
26. E. Clément, L. M. Sander, and R. Kopelman, Phys. Rev. A 39, 6472 (1989).
27. W.-S. Sheu, K. Lindenberg, and R. Kopelman, Phys. Rev. A 42, 2279 (1990).
28. S. Habib, K. Lindenberg, G. Lythe, and C. Molina-París, J. Chem. Phys. 115, 73 (2001).
29. L. W. Anacker and R. Kopelman, J. Chem. Phys. 81, 6402 (1984); L. W. Anacker, R. P. Parson, and R. Kopelman, J. Phys. Chem. 89, 4758 (1985); L. W. Anacker, R. Kopelman, and J. S. Newhouse, J. Stat. Phys. 36, 591 (1984).
30. L. W. Anacker and R. Kopelman, J. Chem. Phys. 81, 6402 (1984); L. W. Anacker, R. P. Parson, and R. Kopelman, J. Phys. Chem. 89, 4758 (1985); L. W. Anacker, R. Kopelman, and J. S. Newhouse, J. Stat. Phys. 36, 591 (1984).
31. L. W. Anacker and R. Kopelman, J. Chem. Phys. 81, 6402 (1984); L. W. Anacker, R. P. Parson, and R. Kopelman, J. Phys. Chem. 89, 4758 (1985); L. W. Anacker, R. Kopelman, and J. S. Newhouse, J. Stat. Phys. 36, 591 (1984).
32. C. Nassif and P. R. Silva, Mod. Phys. Lett. B 15, 1205 (2001).
33. Z. Rácz, Phys. Rev. Lett. 55, 1707 (1985).
34. J.-M. Park and M. W. Deem, Eur. Phys. J. B 10, 35 (1999).
35. S. F. Burlatsky and A. I. Chernoutsan, Phys. Lett. A 145, 56 (1990).
36. B. Bonnier, Phys. Rev. E 58, 5424 (1998); B. Bonnier and R. Brown, ibid. 55, 6661 (1997); B. Bonnier, R. Brown, and E. Pommiers, J. Phys. A 28, 5165 (1995).
37. B. Bonnier, Phys. Rev. E 58, 5424 (1998); B. Bonnier and R. Brown, ibid. 55, 6661 (1997); B. Bonnier, R. Brown, and E. Pommiers, J. Phys. A 28, 5165 (1995).
38. B. Bonnier, Phys. Rev. E 58, 5424 (1998); B. Bonnier and R. Brown, ibid. 55, 6661 (1997); B. Bonnier, R. Brown, and E. Pommiers, J. Phys. A 28, 5165 (1995).
39. V. M. Kenkre and H. M. Van Horn, Phys. Rev. A 23, 3200 (1981).
40. S. N. Majumdar and V. Privman, J. Phys. A 26, L743 (1993).
41. F. Baras, F. Vikas, and G. Nicolis, Phys. Rev. E 60, 3797 (1999).
42. E. Abad, P. Grosfils, and G. Nicolis, Phys. Rev. E 63, 041102 (2001).
43. F. Vikas, F. Baras, and G. Nicolis, Phys. Rev. E 66, 036133 (2002).
44. G. Oshanin, S. F. Burlatsky, E. Clément, D. Graff, and L. M. Sander, J. Phys. Chem. 98, 7390 (1994).
45. M. Hoyuelos, Phys. Rev. E 50, 2597 (1994).
46. J. W. Lee, J. Chem. Phys. 117, 7864 (2002).
47. W. J. Chung and M. W. Deem, Physica A 265, 486 (1999).
48. A. L. Parrondo and H. O. Mártin, Physica A 273, 360 (1999).
49. G. Oshanin and S. F. Burlatsky, Phys. Rev. E 67, 016115 (2003).
50. P. Argyrakis, S. F. Burlatsky, E. Clement, and G. Oshanin, Phys. Rev. E 63, 021110 (2001).
51. L. K. Gallos and P. Argyrakis, Phys. Rev. Lett. 92, 138301 (2004).
52. L. Braunstein, H. O. Mártin, M. Grynberg, and H. E. Roman, J. Phys. A 25, L255 (1992).
53. M. Hoyuelos and H. O. Mártin, Phys. Rev. E 48, 3309 (1993).
54. V. Privman, C. R. Doering, and H. L. Frisch, Phys. Rev. E 48, 846 (1993).
55. H. O. Mártin, J. L. Iguain, and M. Hoyuelos, J. Phys. A 28, 5227 (1995).
56. M. Bowker, The Basis and Applications of Heterogeneous Catalysis (Oxford University Press, Oxford, 1998).
57. V. P. Zdhanov, Elementary Physicochemical Procesess on Surfaces (Plenum, New York, 1991).
58. P. Córdoba-Torres, R. P. Nogueira, and V. Fairén, J. Electroanal. Chem. 560, 25 (2003).
59. M. Malek Mansour and J. Houard, Phys. Lett. 70A, 366 (1979).
60. N. G. Van Kampen, Stochastic Methods in Physics and Chemistry (North-Holland, Amsterdam, 1981).
61. S. Prakash and G. Nicolis, J. Stat. Phys. 82, 297 (1996).