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Monte Carlo simulation of a bimolecular reaction of the type A+(1/2)B 2AB — The influence of A-desorption on kinetic phase transitions

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Abstract

The model recently proposed by Ziff et al. [1] for reactions of the type A+(1/2)B 2AB is extended in order to study the effect of A-desorption on irreversible (kinetic) phase transitions (IPT). The IPT from a stationary state with AB-production to a B-poisoned state is not influenced by A-desorption. On the other hand, desorption of A-species prevents the existence of a truly A-poinsoned state. Therefore the IPT from the stationary regime to an A-poisoned state does not occur but an apparent phase transition is observed for small values of the desorption probability (P D). The rate of AB-production (R AB ) crosses over from a regime where it becomes dominated by the rate of A-adsorption, when the coverage with A-species is negligible to another regime where R AB is dominated by the rate of B 2-adsorption, when the coverage with B-species is negligible. Within the former regime, R AB decays exponentially with the mole fraction of A-molecules in the gas phase and exhibits a power law dependence with P D (exponent γ=2).

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References

  1. R.M. Ziff, E. Gulari, Y. Barshad: Phys. Rev. Lett. 56, 2553 (1986)

    Google Scholar 

  2. R. Dickman: Phys. Rev. A34, 4246 (1986)

    Google Scholar 

  3. P. Meakin, D.J. Scalapino: J. Chem. Phys. 87, 731 (1987)

    Google Scholar 

  4. B. Chopard, M. Droz: J. Phys. A (Math. Gen.) 21, 205 (1988)

    Google Scholar 

  5. A. Sadig, K. Yaldram: J. Phys. A (Math. Gen.) 21, L 207 (1988)

    Google Scholar 

  6. K. Yaldran, A. Sadiq: J. Phys. A (Math. Gen.) 22, 1925 (1989)

    Google Scholar 

  7. P. Fischer, U.M. Titulaer: Surf. Sci. 221, 409 (1989)

    Google Scholar 

  8. D.A. Browne, P. Kleban: Phys. Rev. A40, 1615 (1989)

    Google Scholar 

  9. H.P. Kaukonen, R.M. Nieminen: J. Chem. Phys. 91, 4380 (1989)

    Google Scholar 

  10. M. Ehsasi, M. Matloch, O. Frank, J.H. Block, K. Christmann, F.S. Rys, W. Hirschwald: J. Chem. Phys. 91, 4949 (1989)

    Google Scholar 

  11. D. Ben-Avraham, S. Redner, D. Considine, P. Meakin: J. Phys. A (Math. Gen.) 23, L613 (1990)

  12. D. Ben-Avraham, D. Considine, P. Meakin, S. Redner, H. Takayasu: J. Phys. A (Math. Gen.) 23, 4297 (1990)

    Google Scholar 

  13. D. Considine, H. Takayasu, S. Redner: J. Phys. A (Math. Gen.) 23, L 1181 (1990)

    Google Scholar 

  14. E.V. Albano: J. Phys. A (Math. Gen.) 23, L 545 (1990)

    Google Scholar 

  15. E.V. Albano: Phys. Rev. B Rapid Commun. 42, 10818 (1990)

    Google Scholar 

  16. E.V. Albano: Surf. Sci. 235, 351 (1990)

    Google Scholar 

  17. E.V. Albano: J. Chem. Phys. 94, 1499 (1991)

    Google Scholar 

  18. J.W. Evans, M.S. Miesch: Surf. Sci. 245, 401 (1991)

    Google Scholar 

  19. M. Silverberg, A. Ben-Shaul: J. Chem. Phys. 87, 3178 (1987)

    Google Scholar 

  20. M. Silverberg, A. Ben-Shaul: J. Stat. Phys. 52, 1179 (1988)

    Google Scholar 

  21. E.V. Albano: To be published

  22. G. Jones, M. Goldsmith: In Programming in OCCAM 2, ed. by C.A.R. Hoare (Prentice Hall, London 1988)

    Google Scholar 

  23. W. Paul, D.W. Heermann, R.C. Desai: J. Comp. Phys. 82, 489 (1989)

    Google Scholar 

  24. D.W. Heermann: Computer Simulation Methods, 2nd edn. (Springer, Berlin, Heidelberg 1990)

    Google Scholar 

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Albano, E.V. Monte Carlo simulation of a bimolecular reaction of the type A+(1/2)B 2AB — The influence of A-desorption on kinetic phase transitions. Appl. Phys. A 55, 226–230 (1992). https://doi.org/10.1007/BF00334228

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  • DOI: https://doi.org/10.1007/BF00334228

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