Diffusional Transformations: Microscopic Kinetic Approach

  • I. R. Pankratov
  • V. G. Vaks

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.

Keywords

Spinodal Decomposition Tetragonal Distortion Cluster Variation Method Diffusional Transformation Local Order Parameter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    P.E.A. Turchi and A. Gonis (eds.), “Phase transformations and evolution in materials”, TMS, Warrendale, 2000.Google Scholar
  2. [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.CrossRefADSGoogle Scholar
  3. [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.CrossRefADSGoogle Scholar
  4. [4]
    V.G. Vaks, “Kinetics of phase separation and orderings in alloys”, Physics Reports, 391, 157–242, 2004.CrossRefADSGoogle Scholar
  5. [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.CrossRefADSGoogle Scholar
  6. [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.CrossRefADSGoogle Scholar
  7. [7]
    V.G. Vaks, “Kinetics of L12-type and L10-type orderings in alloys”, JETP Lett., 78, 168–178, 2003.CrossRefADSGoogle Scholar
  8. [8]
    A.G. Khachaturyan, “Theory of structural phase transformations in solids”, Wiley, New York, 1983.Google Scholar
  9. [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.CrossRefADSGoogle Scholar
  10. [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.CrossRefGoogle Scholar
  11. [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.ADSGoogle Scholar
  12. [12]
    G. Korn and T. Korn, “Mathematical handbook for scientists and engineers”, McGraw-Hill, New York, 1961.Google Scholar
  13. [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.CrossRefADSGoogle Scholar
  14. [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. [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.CrossRefGoogle Scholar

Copyright information

© Springer 2005

Authors and Affiliations

  • I. R. Pankratov
    • 1
  • V. G. Vaks
    • 1
  1. 1.Russian Research CentreKurchatov InstituteMoscowRussia

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