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Stochastic description of phase separation near the spinodal curve in alloys

  • Condensed Matter
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Abstract

The earlier-developed statistical methods for nonequilibrium alloys are applied to stochastically describe phase separation near the spinodal curve. An important parameter of the theory is the size of local equilibrium regions, which is estimated using simulations for the different values of this parameter. The simulations based on this approach reveal significant changes in the type of evolution from nucleation to spinodal decomposition under variation of concentration and temperature across the spinodal curve. The scale of these changes seems to be mainly determined by the difference of the properly defined supersaturation parameters.

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References

  1. K. Binder, in Materials Science and Technology, Vol. 5: Phase Transformations in Materials, Ed. by P. Haasen (VCH, Weinheim, 1991), Chap. 7.

    Google Scholar 

  2. R. Wagner and R. Kampmann, in Materials Science and Technology, Vol. 5: Phase Transformations in Materials, Ed. by P. Haasen (VCH, Weinheim, 1991), Chap. 4.

    Google Scholar 

  3. K. Oki, H. Sagane, and T. Eguchi, J. Phys. Colloq. 38, C7–414 (1977).

    Google Scholar 

  4. F. Ernst and P. Haasen, Phys. Status Solidi A 104, 1702 (1994).

    Google Scholar 

  5. H. Tanaka, T. Yokokawa, H. Abe, et al., Phys. Rev. Lett. 65, 3136 (1990).

    ADS  Google Scholar 

  6. H. Tanaka, Phys. Rev. Lett. 72, 1702 (1994).

    ADS  Google Scholar 

  7. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics, 4th ed. (Nauka, Moscow, 1995; Butterworth, London, 1999), Sect. 162.

    Google Scholar 

  8. J. W. Cahn, Acta Metall. 9, 795 (1961).

    Google Scholar 

  9. F. Soisson and G. Martin, Phys. Rev. B 62, 203 (2000).

    Article  ADS  Google Scholar 

  10. V. Yu. Dobretsov and V. G. Vaks, J. Phys.: Condens. Matter 10, 2261 (1998); 10, 2275 (1998).

    ADS  Google Scholar 

  11. J. G. Amar, F. E. Sullivan, and R. D. Mountain, Phys. Rev. B 37, 196 (1988).

    Article  ADS  Google Scholar 

  12. V. G. Vaks, S. V. Beiden, and V. Yu. Dobretsov, Pis’ma Zh. Éksp. Teor. Fiz. 61, 65 (1995) [JETP Lett. 61, 68 (1995)].

    Google Scholar 

  13. Y. Wang, D. Banerjee, C. C. Su, and A. G. Khachaturyan, Acta Mater. 46, 2983 (1998).

    Google Scholar 

  14. V. G. Vaks, Phys. Rep. 391, 157 (2004).

    Article  ADS  Google Scholar 

  15. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1984; Vysshaya Shkola, Moscow, 1986).

    Google Scholar 

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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. 80, No. 9, 2004, pp. 703–708.

Original English Text Copyright © 2004 by Dobretsov, Pankratov, Vaks.

This article was submitted by the authors in English.

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Dobretsov, V.Y., Pankratov, I.R. & Vaks, V.G. Stochastic description of phase separation near the spinodal curve in alloys. Jetp Lett. 80, 602–607 (2004). https://doi.org/10.1134/1.1851643

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  • DOI: https://doi.org/10.1134/1.1851643

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