Phase Equilibria under Irradiation

Abstract

A solid under irradiation is a far-from equilibrium system, and therefore phase equilibria in such a system cannot be assessed from equilibrium thermodynamics. Starting from a kinetic description which incorporates the various processes responsible for atomic diffusion (e.g. thermally activated jumps, replacement sequences or displacement cascades), the various possible steady-states can be identified analytically or numerically, as well as their kinetic evolution on varying the control parameters of the system (e.g. temperature, average composition, irradiation flux, cascade density …). Furthermore, from stochastic versions of the kinetic model, potentials governing the stationary probability distribution of states can be derived, allowing to build dynamical equilibrium phase diagrams.

Illustrating the above approach on the A2-B2 order-disorder transition, we have identified irradiation-induced two-phase state, cascade size and density effects on phase stability. By incorporating point defects, such description is well suited to study irradiation-induced segregation at sinks in concentrated alloys.

This is a preview of subscription content, access via your institution.

References

  1. 1.

    P. Bellon and G. Martin, Phys. Rev. B, 38, 2570 (1988).

    CAS  Article  Google Scholar 

  2. 2.

    P. Bellon and G. Martin, Phys. Rev. B, 39, 2403 (1989).

    CAS  Article  Google Scholar 

  3. 3.

    F. Haider, P. Bellon, and G. Martin, Phys. Rev. B, 42, 8274 (1990).

    CAS  Article  Google Scholar 

  4. 4.

    E. Salomons, Bellon, F. Soisson, and G. Martin, Phys. Rev.B, 45, 4582 (1992).

    CAS  Article  Google Scholar 

  5. 5.

    P. Bellon, Phys. Rev. B, 45, 7517 (1992).

    CAS  Article  Google Scholar 

  6. 6.

    F. Soisson, P. Bellon, and G. Martin, Phys. Rev. B 46, 11332 (1992).

    CAS  Article  Google Scholar 

  7. 7.

    R. Kubo, K. Matsuo and K. Kitahara, J. Stat. Phys., 9, 51 (1973).

    Article  Google Scholar 

  8. 8.

    B. Fultz, J. Mater. Res., 5, 1419 (1990).

    CAS  Article  Google Scholar 

  9. 9.

    J. M. Gonzalez-Miranda, P. L. Garrido, J. Marro and J. L. Lebowitz, Phys. Rev. Lett., 59, 1934 (1987).

    CAS  Article  Google Scholar 

  10. 10.

    Gillespie D. T.: Physica, 95A, 69 (1979).

    CAS  Article  Google Scholar 

  11. 11.

    Haider F.: in Oraering and Disordering in Materials, Ed. Yavari (North- Holland, 1992) p. 215.

  12. 12.

    J. L. Bocquet, CEA report R-4565 (1974).

    Google Scholar 

  13. 13.

    Bortz A. B., Kalos M. H., and Lebowitz J. L.: J. Comp. Phys., 17, 10 (1975).

    Article  Google Scholar 

  14. 14.

    D. I. Potter and A. W. McCormick, Acta Metall. 27, 933 (1979).

    CAS  Article  Google Scholar 

  15. 15.

    D. I. Potter and H. Wiedersich, J. Nucl. Mater. 83, 208 (1979).

    CAS  Article  Google Scholar 

  16. 16.

    D. I. Potter and H. A. Hoff, Acta Metall. 24, 1155 (1976).

    CAS  Article  Google Scholar 

  17. 17.

    Y. Brechet, F. Louchet, C. Marchionni, and J. L. Verger-Gaugry, Phil. Mag. 56, 353 (1987).

    CAS  Article  Google Scholar 

  18. 18.

    M. Sundararaman, W. Chen, V. Sing, and R. P. Wahi, Acta Metall. 38, 1813 (1990).

    CAS  Article  Google Scholar 

  19. 19.

    T. R. Anthony, in Proc. Conf. on Radiation-Induced Voids in Metals and Alloys, Eds. J. W. Corbett and L. C. laniello (US Atomic Energy Commission, 1971) p. 630.

  20. 20.

    P. R. Okamoto L. E. Rehn, J. Nucl. Mater. 83, 2 (1979).

    Article  Google Scholar 

  21. 21.

    H. Wiedersich, P. R. Okamoto, and N. Q. Lam, J. Nucl. Mater. 83, 98 (1979).

    CAS  Article  Google Scholar 

  22. 22.

    C. A. English, S. M. Murphy, and J. M. Perks, J. Chem.Soc. Faraday Trans. 86, 1263 (1990).

  23. 23.

    Y. Grandjean et al, in preparation.

  24. 24.

    V. Vaks and V. Kamychenko, submitted to Physics Letters.

Download references

Acknowledgments

We acknowledge stimulating discussions with F. Haider, V. Kamychenko, V. Vaks and our colleagues from SRMP. Part of this work is supported by Electricité de France (Les Renardières).

Author information

Affiliations

Authors

Corresponding author

Correspondence to P. Bellon.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Bellon, P., Soisson, F., Grandjean, Y. et al. Phase Equilibria under Irradiation. MRS Online Proceedings Library 311, 175–184 (1993). https://doi.org/10.1557/PROC-311-175

Download citation