Skip to main content

Diffusional Transformations: Microscopic Kinetic Approach

  • Chapter
Handbook of Materials Modeling
  • 383 Accesses

Abstract

The term “diffusional transformations” is used for the phase transformations (PTs) of phase separation or ordering of alloys as these PTs are realized via atomic diffusion, i.e., by interchange of positions of different species atoms in the crystal lattice. Studies of kinetics of diffusional PTs attract interest from both fundamental and applied points of view. From the fundamental side, the creation and evolution of ordered domains or precipitates of a new phase provide classical examples of the self-organization phenomena being studied in many areas of physics and chemistry. From the applied side, the macroscopic properties of such alloys, such as their strength, plasticity, coercivity of ferromagnets, etc., depend crucially on their microstructure, in particular, on the distribution of antiphase or interphase boundaries separating the differently ordered domains or different phases, while this microstructure, in its turn, sharply depends on the thermal and mechanical history of an alloy, in particular, on the kinetic path taken during the PT. Therefore, the kinetics of diffusional PTs is also an important area of Materials Science.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 709.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. P.E.A. Turchi and A. Gonis (eds.), “Phase transformations and evolution in materials”, TMS, Warrendale, 2000.

    Google Scholar 

  2. I.R. Pankratov and V.G. Vaks, “Generalized Ginzburg-Landau functionals for alloys: general equations and comparison to the phase-field method”, Phys. Rev. B, 68, 134208 (in press), 2003.

    Article  ADS  Google Scholar 

  3. V.G. Vaks, “Master equation approach to the configurational kinetics of nonequilibrium alloys: exact relations, H-theorem and cluster approximations”, JETP Lett., 78, 168–178, 1996.

    Article  ADS  Google Scholar 

  4. V.G. Vaks, “Kinetics of phase separation and orderings in alloys”, Physics Reports, 391, 157–242, 2004.

    Article  ADS  Google Scholar 

  5. K.D. Belashchenko and V.G. Vaks, “Master equation approach to configurational kinetics of alloys via vacancy exchange mechanism: general relations and features of microstructural evolution”, J. Phys. Condensed Matter, 10, 1965–1983, 1998.

    Article  ADS  Google Scholar 

  6. K.D. Belashchenko, V. Yu. Dobretsov, I.R. Pankratov et al., “The kinetic clusterfield method and its application to studes of L12-type orderings in alloys”, J. Phys. Condens. Matter, 11, 10593–10620, 1999.

    Article  ADS  Google Scholar 

  7. V.G. Vaks, “Kinetics of L12-type and L10-type orderings in alloys”, JETP Lett., 78, 168–178, 2003.

    Article  ADS  Google Scholar 

  8. A.G. Khachaturyan, “Theory of structural phase transformations in solids”, Wiley, New York, 1983.

    Google Scholar 

  9. K.D. Belashchenko, I.R. Pankratov, G.D. Samolyuk et al., “Kinetics of formation of twinned structures under L10-type orderings in alloys”, J. Phys. Condens. Matter, 14, 565–589, 2002.

    Article  ADS  Google Scholar 

  10. S.M. Allen and J.W. Cahn, “Mechanisms of phase transformations within the miscibility gap of Fe-rich Fe-Al alloys”, Acta Metall., 24, 425–437, 1976.

    Article  Google Scholar 

  11. V.G. Vaks, S.V. Beiden, V. Dobretsov, and Yu., “Mean-field equations for configurational kinetics of alloys at arbitrary degree of nonequilibrium”, JETP Lett., 61, 68–73, 1995.

    ADS  Google Scholar 

  12. G. Korn and T. Korn, “Mathematical handbook for scientists and engineers”, McGraw-Hill, New York, 1961.

    Google Scholar 

  13. V. Yu. Dobretsov, V.G. Vaks, and G. Martin, “Kinetic features of phase separation under alloy ordering”, Phys. Rev. B, 54, 3227–3239, 1996.

    Article  ADS  Google Scholar 

  14. A. Loiseau, C. Ricolleau, L. Potez, and F. Ducastelle, “Order and disorder at interfaces in alloys”, In: W.C. Johnson, J.M. Howe, D.E. Mc Laughlin, and W.A. Soffa (eds.), Solid-Solid Phase Transformations, pp. 385–400, TMS, Warrendale, 1994.

    Google Scholar 

  15. K.D. Belashchenko, G.D. Samolyuk, and V.G. Vaks, “Kinetic features of alloy ordering with many types of ordered domain: D03-type ordering”, J. Phys. Condens. Matter, 10, 10567–10592, 1999.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer

About this chapter

Cite this chapter

Pankratov, I.R., Vaks, V.G. (2005). Diffusional Transformations: Microscopic Kinetic Approach. In: Yip, S. (eds) Handbook of Materials Modeling. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-3286-8_116

Download citation

Publish with us

Policies and ethics