Mesoscopic modeling in the kinetic theory of adsorbates

Journal of Physical Chemistry

Volumn 100, Issue 49, 1996, Pages 19089-19101

  Hildebrand, M ^a   Mikhailov, A S ^a  

^a FRITZ HABER INSTITUT DER MAX PLANCK GESELLSCHAFT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042657450     PISSN: 00223654     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp961668w     Document Type: Article

References (35)

1. Zambelli, T.; Trost, J.; Wintterlin, J.; Ertl, G. Phys. Rev. Lett. 1996, 76, 795.
2. Gorodetskii, V.; Lauterbach, J.; Rotermund, H. A.; Block, J. H.; Ertl, G. Nature 1994, 370, 276.
3. Nørskov, J. K. In Coadsorbtion, Promoters and Poisons; King, D. A., Woodruff, D. P., Eds.; Elsevier: Amsterdam, 1993; p 1.
4. Einstein, T. L.; Schrieffer, J. R. Phys. Rev. B 1973, 7, 3629.
5. Lau, K. H.; Kohn, W. Surf. Sci. 1978, 75, 69.
6. Zeppenfeld, P.; Krzyzowski, M.; Romainczyk, C.; Gomsa, G.; Lagally, M. G. Phys. Rev. Lett. 1994, 72, 2737.
7. Marchenko, V. I. JETP Lett. 1991, 67, 855.
8. Vanderbilt, D. Surf. Sci. 1992, 268, L300.
9. Mikhailov, A.; Ertl, G. Science 1996, 272, 1596.
10. de Gennes, P. G. Rev. Mod. Phys. 1985, 57, 827.
11. Heckl, W. M.; Möhwald, H. Ber. Bunsen-Ges. Phys. Chem. 1986, 90, 1159.
12. Mikhailov, A. Foundations of Synergetics. I. Distributed Active Systems; Springer: Berlin, Heidelberg, 1990; 2nd revised ed., 1994.
13. Krischer, K.; Eiswirth, M.; Ertl, G. Surf. Sci. 1991, 251/252, 900.
14. Eiswirth, M.; Ertl, G. In Chemical Waves and Patterns; Kapral, R., Showalter, K., Eds.; Kluwer: Dordrecht, 1995; p 447.
15. Rose, K. C.; Battogtokh, D.; Mikhailov, A.; Imbihl, R.; Ensel, W.; Bradshaw, A. M. Phys. Rev. Lett. 1996, 76, 3582.
16. Khrustova, N.; Veser, G.; Mikhailov, A.; Imbihl, R. Phys. Rev. Lett. 1995, 75, 3564.
17. Ziff, R.; Gulari, E.; Barshad, Y. Phys. Rev. Lett. 1986, 56, 2553.
18. Wu, X.-G.; Kapral, R. Physica A 1992, 188, 284.
19. Sadig, A.; Binder, K. Surf. Sci. 1983, 128, 350.
20. Fichthorn, K.; Gulari, E.; Ziff, R. Phys. Rev. Lett. 1989, 63, 1527.
21. Rose, H.; Hempel, H.; Schimansky-Geier, L. Physica A 1994, 206, 421.
22. Evans, J. W. J. Chem. Phys. 1992, 97, 572.
23. See also the following. Tammaro, M.; Sabella, M.; Evans, J. W. J. Chem. Phys. 1995, 103, 10277.
24. Kreuzer, H. J. Phys. Rev. B 1991, 44, 1232.
25. Gardiner, G. W. Handbook of Stochastic Methods; Springer: Berlin, Heidelberg, 1985).
26. Mikhailov, A. Phys. Rep. 1989, 184, 308.
27. Mikhailov, A.; Loskutov, A. Foundations of Synergetics. II. Chaos and Noise Springer: Berlin, Heidelberg, 1991; 2nd revised ed., 1996.
28. Wu, X.-G.; Kapral, R. Phys. Rev. E 1994, 50, 3560.
29. Mikhailov, A.; Ertl, G. Chem. Phys. Lett. 1995, 238, 104.
30. This equation without adsorption and desorption terms has been later derived in the theory of phase segregation in binary alloys: Giacomin, G.; Lebowitz, J. L. Phys. Rev. Lett. 1996, 76, 1094.
31. Hill, T. L. Statistical Mechanics; McGraw-Hill: New York, 1956.
32. 30b the usual thermodynamical Maxwell condition 25 must determine in the considered case the curve of stationary coexistence of two phases.
33. (b) V. P. Zhdanov, private communication.
34. Bray, A. J. Adv. Phys. 1994, 43, 357.
35. Lifshitz, E. M.; Pitaevskii, L. P. Physical Kinetics; Pergamon Press: Oxford, 1981.