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Application of the Monte Carlo method to the problem of surface segregation simulation

  • Condensed Matter
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Abstract

A generalization of the Monte Carlo method to the case of grand canonical ensemble allowing the elimination of the problem of determination of the chemical potential of alloy components was proposed. The method is particularly convenient for the calculations of surface segregations because it excludes time-consuming calculation of the temperature-dependent bulk chemical potential μ(T). The new method was used for calculating segregations at the (100), (110), and (111) surfaces of the Ni50Pd50 alloy using the Ising model with ab initio effective interatomic interaction potentials.

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References

  1. T. T. Tsong, Phys. Today 46(5), 24 (1993).

    Google Scholar 

  2. I. A. Abrikosov and H. L. Skriver, Phys. Rev. B 47, 16532 (1993).

    Google Scholar 

  3. A. V. Ruban and H. L. Skriver, Comput. Mater. Sci. 15, 119 (1999).

    Article  Google Scholar 

  4. H. L. Skriver and N. M. Rosengaard, Phys. Rev. B 46, 7157 (1992).

    Article  ADS  Google Scholar 

  5. J. M. Sánchez, F. Ducastelle, and D. Gratias, Physica A (Amsterdam) 128, 334 (1984).

    ADS  Google Scholar 

  6. A. V. Ruban, I. A. Abrikosov, D. Ya. Kats, et al., Phys. Rev. B 49, 11383 (1994).

    Google Scholar 

  7. A. Pasturel, V. Drchal, J. Kudrnovsk, and P. Weinberger, Phys. Rev. B 48, 2704 (1993).

    Article  ADS  Google Scholar 

  8. L. V. Pourovskii, A. V. Ruban, I. A. Abrikosov, et al., Phys. Rev. B (in press).

  9. A. V. Ruban and H. L. Skriver, Phys. Rev. B (in press).

  10. K. S. Lee, S. H. Kim, H. G. Min, et al., Surf. Sci. 377–379, 918 (1997).

    Google Scholar 

  11. S. M. Foiles, Phys. Rev. B 32, 7685 (1985).

    ADS  Google Scholar 

  12. D. Udler and D. N. Seidman, Acta Metall. Mater. 42, 1959 (1994).

    Google Scholar 

  13. Monte Carlo Methods in Statistical Physics, Ed. by K. Binder (Springer-Verlag, Berlin, 1979; Mir, Moscow, 1982).

    Google Scholar 

  14. G. N. Derry, C. B. McVey, and B. J. Rous, Surf. Sci. 326, 59 (1995).

    Article  Google Scholar 

  15. A. C. Michel, L. Lianos, J. L. Rousset, et al., Surf. Sci. 416, 288 (1998).

    Article  Google Scholar 

  16. A. Cristensen, A. V. Ruban, and H. L. Skriver, Surf. Sci. 383, 235 (1997).

    Google Scholar 

  17. R. Hultgren, P. D. Desal, D. T. Hawkins, et al., Selected Values of the Thermodynamic Properties of Binary Alloys (American Society of Metals, Metals Park, 1973).

    Google Scholar 

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Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 73, No. 8, 2001, pp. 465–469.

Original Russian Text Copyright © 2001 by Poyurovski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \), Ruban, Abrikosov, Vekilov, Johansson.

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Poyurovskii, L.V., Ruban, A.V., Abrikosov, I.A. et al. Application of the Monte Carlo method to the problem of surface segregation simulation. Jetp Lett. 73, 415–419 (2001). https://doi.org/10.1134/1.1381640

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  • DOI: https://doi.org/10.1134/1.1381640

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