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The European Physical Journal Special Topics

, Volume 216, Issue 1, pp 153–163 | Cite as

Reaction-diffusion processes in the “adsorbate-substrate” system

  • V.V. IgnatyukEmail author
Regular Article
  • 79 Downloads

Abstract

We obtain a chain of quantum kinetic reaction-diffusion-type equations for “adsorbate-substrate” system taking into account the coupling of a light particle with a metallic surface, the adsorbate surface diffusion by the tunnelling mechanism and the occurrence of bimolecular chemical reactions. We calculate the temperature dependence of the kinetic kernels related to the diffusion coefficients and the reaction rates. It is shown that one can alter the temperature dependence of the reaction rates by changing the “adsorbate-substrate” coupling. It is also shown that the mean field terms contribute to the activation energies of the reaction rates, while their contribution to the activation energies of the diffusion coefficients vanishes.

Keywords

Coupling Strength European Physical Journal Special Topic Metallic Surface Weak Coupling Limit Strong Coupling Limit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    W. Ho., J. Chem. Phys. 117, 11033 (2002)CrossRefADSGoogle Scholar
  2. 2.
    D.N. Zubarev, V.G. Morozov, G. Röpke, Statistical Mechanics of Nonequilibrium Processes, vols. 1–2 (Fizmatlit, Moscow, 2002) (in Russian)Google Scholar
  3. 3.
    V.V. Ignatyuk, Phys. Rev. E 80, 041133 (2009)CrossRefADSGoogle Scholar
  4. 4.
    V.V. Ignatyuk, Phys. Rev. E 84, 021111 (2011)CrossRefADSGoogle Scholar
  5. 5.
    V.V. Ignatyuk, J. Chem. Phys. 136, 184104 (2012)CrossRefADSGoogle Scholar
  6. 6.
    P.D. Reilly, R.A. Harris, K.B. Whaley, J. Chem. Phys. 95, 8599 (1991)CrossRefADSGoogle Scholar
  7. 7.
    L.J. Lauhon, W. Ho, J. Phys. Chem. B 105, 3987 (2001)CrossRefGoogle Scholar
  8. 8.
    V.V. Ignatyuk, M.V. Tokarchuk, P.P. Kostrobij, Condens. Matter Phys. 9, 55 (2006)CrossRefGoogle Scholar
  9. 9.
    V.V. Ignatyuk, preprint of the Institute for Condensed Matter Physics, ICMP11-08U, Lviv, 2011, p. 19 (in Ukrainian), http://www.icmp.lviv.ua/preprints/2011/11-08u
  10. 10.
    P.D. Reilly, R.A. Harris, K.B. Whaley, J. Chem. Phys. 97, 6975 (1992)CrossRefADSGoogle Scholar
  11. 11.
    A.J. Leggett, S. Chakravarty, A.T. Dorsey, M.P.A. Fisher, A. Garg, W. Zwerger, Rev. Mod. Phys. 59, 1 (1987)CrossRefADSGoogle Scholar
  12. 12.
    Yu.L. Klimontovich, Statistical Physics (Harwood Academic Publishers, New York, 1986), p. 734Google Scholar
  13. 13.
    Yu. Kagan, N.V. Prokofiev, Zh. Eksp. Teor. Fiz. 96, 2209 (1989) [Sov. Phys. JETP. 69, 1250 (1989)]Google Scholar
  14. 14.
    Yu. Kagan, N.V. Prokofiev, Zh. Eksp. Teor. Fiz. 90, 2176 (1986) [Sov. Phys. JETP. 63, 1276 (1986)]Google Scholar
  15. 15.
    T. Ala-Nissila, R. Ferrando, S.C. Ying, Adv. Phys. 51, 949 (2002)CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  1. 1.Institute for Condensed Matter Physics of the National Academy of Sciences of UkraineLvivUkraine

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