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Factors Affecting the Coverage Dependence of the Diffusivity of One Metal over the Surface of Another

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Various factors that can affect the coverage dependence of diffusivity for the case of surface hetero-diffusion have been analyzed. Simple Monte Carlo modeling of the diffusion process shows that diffusivity can either increase or decrease with coverage, depending on whether the interaction between diffusing atoms is repulsive or attractive. The results of more detailed simulations show that these simple predictions are reasonable. If the diffusing species undergoes first-order phase transitions as a function of coverage, then important perturbations of the diffusion profiles will result. One final factor in coverage dependence of diffusivity is considered, namely, the possible effects of coverage on the surface step structure. An analysis of diffusion profiles obtained for the spreading of Bi over Cu(100) shows that the major effects of coverage on diffusivity come about from the presence of phase transitions, and from the inherent coverage dependence of diffusivity in systems with short-range repulsion.

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References

  1. Gomer R. (1990). Rep. Prog. Phys. 53:917

    Article  ADS  Google Scholar 

  2. Seebauer E.G., Allen C.E. (1995). Prog. Surf. Sci. 49:265

    Article  Google Scholar 

  3. Nauvomets A.G. (2005). Physica A 357:189

    Article  ADS  Google Scholar 

  4. Cohen C., Girard Y., Leroux-Hugon P., L’Hoir A., Moulin J., Schmaus D. (1993). Europhys. Lett. 24:767

    ADS  Google Scholar 

  5. Prévot G., Cohen C., Moulin J., Schmaus D. (1999). Surf. Sci. 421:364

    Article  Google Scholar 

  6. Moon J., Lowekamp J., Wynblatt P., Garoff S., Suter R.M. (2001). Surf. Sci. 488:73

    Article  Google Scholar 

  7. Moon J., Wynblatt P., Garoff S., Suter R.M. (2004). Surf. Sci. 599:160

    Google Scholar 

  8. Monchoux J.P., Chatain D., Wynblatt P. (2006). Surf. Sci. 600:1265

    Article  ADS  Google Scholar 

  9. Murch G.E., Thorn R.J. (1977). Philos. Mag. 35:493

    Google Scholar 

  10. Moon J., Yoon J., Wynblatt P., Garoff S., Suter R.M. (2002). Comput. Mater. Sci. 25:503

    Article  Google Scholar 

  11. Foiles S.M., Baskes M.I., Daw M.S. (1986). Phys. Rev. B 53:7983

    Article  ADS  Google Scholar 

  12. Crank J. (1956). The Mathematics of Diffusion. Clarendon Press, Oxford

    MATH  Google Scholar 

  13. Y. Adda and J. Philibert, La Diffusion dans les Solides (Institut National des Sciences et Techniques Nucléaires, Saclay, 1966).

  14. Meyerheim H.L., Zajonz H., Moritz W., Robinson I.K. (1997). Surf. Sci. 381:L551

    Article  Google Scholar 

  15. Meyerheim H.L., De Santis M., Moritz W., Robinson I.K. (1998). Surf. Sci. 418:295

    Article  Google Scholar 

  16. Plass R., Kellogg G.L. (2000). Surf. Sci. 470:106

    Article  Google Scholar 

  17. Ehrlich G., Hudda F.G. (1966). J. Chem. Phys. 44:1039

    Article  Google Scholar 

  18. Schwoebel R.L., Shipley E.J. (1966). J. Appl. Phys. 37:3682

    Article  ADS  Google Scholar 

  19. Chatain D., Ghetta V., Wynblatt P. (2004). Interface Sci. 12:7

    Article  Google Scholar 

  20. Chatain D., Wynblatt P., Rohrer G.S. (2005). Acta Mater. 53:4057

    Article  Google Scholar 

  21. van Gastel R., Somfai E., van Saarloos S.B., Frenken J.W.M. (2001). Phys. Rev. Lett. 86:1562

    Article  ADS  Google Scholar 

  22. Grant M.L., Swartzentruber B.S., Bartelt N.C., Hannon J.B. (2001). Phys. Rev. Lett. 86:4588

    Article  ADS  Google Scholar 

  23. M. L. Anderson, M. J. D’Amato, P. J. Feibelman and B. S. Swartzentruber, Phys. Rev. Lett. 90:126102/1–4 (2003).

    Google Scholar 

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Wynblatt, P., Chatain, D., Ranguis, A. et al. Factors Affecting the Coverage Dependence of the Diffusivity of One Metal over the Surface of Another. Int J Thermophys 28, 646–660 (2007). https://doi.org/10.1007/s10765-007-0159-1

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