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Monte Carlo simulations of long-range order kinetics in B2 phases

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Abstract

The thermodynamic parameters that drive the atomic migration in B2 alloys are studied using Monte-Carlo simulations. The model is based on a vacancy jump mechanism between nearest neighbor sites, with a constant vacancy concentration. The ordering energy is described through an Ising Hamiltonian with interaction potentials between first and second nearest neighbors. Different migration barriers are introduced fur A and B atoms. The results of the simulations compare very well with those of experiments. The ordering kinetics are well described by exponential-like behaviors with two relaxation times whose temperature dependences are Arrhenius laws yielding effective migration energies. The ordering energy contributes significantly to the total migration energy.

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References

  1. C.E. Dahmani, M.C. Cadeville, and V. Pierron-Bohnes, Acta Metall. 33, 369–377 (1985).

    Article  CAS  Google Scholar 

  2. M. C. Cadeville, V. Pierron-Bohnes, and R. Kozubski, in Ordering and Disordering in Alloys, edited by A. R. Yavari (Elsevier Applied Science, London and New York, 1992), pp. 79–94.

    Chapter  Google Scholar 

  3. R. Kozubski, J. Soltys, M.C. Cadeville, V. Pierron-Bohnes, T.H. Kim, P. Schwander, J. P. Hahn, G. Kostorz, and J. Morgiel, Intermetallics 1, 139–150 (1993).

    Article  CAS  Google Scholar 

  4. C. Dimitrov, T. Tarfa, and O. Dimitrov, in Ordering and Disordering in Alloys, edited by A. R. Yavari (Elsevier Applied Science, London and New York, 1992), pp. 130–137.

    Chapter  Google Scholar 

  5. H. Chen and J. B. Cohen, J. Phys. (Paris) 38, C7, 314–327 (1977).

    Article  Google Scholar 

  6. K. Yaldram and K. Binder, J. Phys. 62, 161–175 (1991).

    Google Scholar 

  7. B. Fultz, J. Chem. Phys. 88, 3227–3229 (1988); B. Fultz and L. Anthony, Philos. Mag. Lett. 59, 237–241 (1989); H. Ouyang and B. Fultz, J. Appl. Phys. 66, 4752–4755 (1989).

    Article  CAS  Google Scholar 

  8. L. Anthony and B. Fultz, J. Mater. Res. 9, 348–356 (1994).

    Article  CAS  Google Scholar 

  9. A. Finel, 1987, Thèse d’état, Université Pierre et Marie Curie, Paris.

  10. H.R. Schober, W. Petty, and J. Trampenau, J. Phys.: Condens. Matter 4, 9321–9338 (1992).

    CAS  Google Scholar 

  11. R.J. Glauber, J. Math. Phys. 4, 294 (1963).

    Article  Google Scholar 

  12. H. Sato and R. Kikuchi, Acta Metall. 24, 797 (1976).

    Article  CAS  Google Scholar 

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Author notes

  1. K. Yaldram

    Present address: Nuclear Physics Division, Pakistan Institute of Nuclear Science and Technology, Post-Office Nilore, Islamabad, Pakistan

Authors and Affiliations

  1. IPCMS-GEMME, 23, rue du Loess, 67037, Strasbourg, Cedex, France

    K. Yaldram, V. Pierron-Bohnes, M. C. Cadeville & M. A. Khan

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  1. K. Yaldram
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  2. V. Pierron-Bohnes
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  3. M. C. Cadeville
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  4. M. A. Khan
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Yaldram, K., Pierron-Bohnes, V., Cadeville, M.C. et al. Monte Carlo simulations of long-range order kinetics in B2 phases. Journal of Materials Research 10, 591–595 (1995). https://doi.org/10.1557/JMR.1995.0591

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  • DOI: https://doi.org/10.1557/JMR.1995.0591

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