Skip to main content
SpringerLink
Log in

Microscopical Derivation of Ginzburg-Landau-Type Functionals for Alloys and Their Application to Studies of Antiphase and Interphase Boundaries

  • Chapter
Complex Inorganic Solids

  • 1945 Accesses

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

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. J.W. Cahn and J.E. Hilliard, Free Energy of a Nonuniform System: I. Intefacial Free Energy, J. Chem. Phys. 28(2), 258–267 (1958).

    Article  CAS  Google Scholar 

  2. J.W. Cahn and R. Kikuchi, Theory of Domain Walls in Ordered Structures: II and III, J. Phys. Chem. Solids 23(1), 137–151 (1962), and 27(5), 1305–1317 (1966).

    Article  Google Scholar 

  3. R. Kikuchi and J.W. Cahn, Theory of Interphase and Antiphase Boundaries in F.C.C. Alloys, Ada Met. 27(5), 1337–1353 (1979).

    Article  CAS  Google Scholar 

  4. S.M. Allen and J.W. Calm, Mechanisms of Phase Transformations within the Miscibility Gap of Fe-rich Fe-Al Alloys, Acta Met. 24(2), 425–437 (1976).

    Article  CAS  Google Scholar 

  5. F. Schmid and K. Binder, Rough interphaces in a bcc-based binary allloy, Phys. Rev. B 46(20), 13553–13564 (1992).

    Article  Google Scholar 

  6. R.J. Braun, J.W. Cahn, G.B. McFadden and A.A. Wheeler, Anisotropy of Interphaces in an Ordered Alloy: A Miltiple-Order-Parameter Model, Phil. Trans. Roy. Soc. London A 355(1730), 1787–1833 (1997).

    Article  Google Scholar 

  7. Y. Wang, D. Banerjee, C.C. Su and A.G. Khachaturyan, Field kinetic model and computer simulation of precipitation of Ll2 ordered intermetallics from F.C.C. solid solution, Ada Mater. 46(9), 2983–3001 (1998).

    CAS  Google Scholar 

  8. M. Asta and A. Quong, The concentration and temperature dependences of antiphase-boundary energies in γ-TiAl: a first-principle study, Phil. Mag. Lett. 76(5), 331–339 (1997).

    Article  CAS  Google Scholar 

  9. L. Proville and A. Finel, Kinetics of the coherent order-disorder transition in Al3Zr, Phys. Rev. B 64, 054104-(1–7) (2001).

    Article  Google Scholar 

  10. K.D. Belashchenko, V.Yu. Dobretsov, I.R. Pankratov, G.D. Samolyuk and V.G. Vaks, The kinetic cluster-field method and its application to studies of Ll2-type orderings in alloys, and: Kinetic features of alloy ordering with many types of ordered domain: D03-type orderings, J. Phys.: Condens. Matter 11(52), 10593–10620 and 10567–10592 (1999).

    Article  CAS  Google Scholar 

  11. I.R. Pankratov and V.G. Vaks, Kinetics of Ll0-type and Ll2-type orderings in alloys at early stages of phase transfotmations, J. Phys.: Condens. Matter 13(32), 6031–6058 (2001).

    CAS  Google Scholar 

  12. K.D. Belashchenko, I.R. Pankratov, G.D. Samolyuk and V.G. Vaks, Kinetics of formation of twinned structures under Ll0-type orderings in alloys, J. Phys.: Condens. Matter 14(2), 565–589 (2002).

    Article  CAS  Google Scholar 

  13. V.G. Vaks, Ginzburg-Landau-type theory of antiphase boundaries in polytwinned structures, Pis. Zh. Eksp. Teor. Fiz. 73(5), 274–278 (2001) [JETP Lett. 73(5), 237–241 (2001)].

    Google Scholar 

  14. V. Yu. Dobretsov, G. Martin, F. Soisson and V.G. Vaks, Effects of the Interaction between Order Parameter and Concentration on the Kinetics of Antiphase Boundary Motion, Europhys. Lett. 31(7), 417–422 (1995).

    Article  CAS  Google Scholar 

  15. V.G. Vaks and G.D. Samolyuk, On accuracy of different cluster methods used in describing ordering phase transitions in fcc alloys, Zh. Eksp. Teor. Fiz. 115(1) 158–179 (1999) [Sov. Phys.-JETP 88(1) 89–100 (1999)].

    Google Scholar 

  16. V.G. Vaks, N.E. Zein and V.V. Kamyshenko, On the cluster method in the theory of short-range order in alloys, J. Phys. F: Metal Physics 18(8), 1641–1661 (1988).

    Article  CAS  Google Scholar 

  17. F. Chassagne, M. Bessiere, Y. Calvayrac, P. Cenedese and S. Lefebvre, X-Ray Diffuse-Scattering Investigation of Different States of Local Order in Ni-Al Solid-Solutions, Ada Met. 37(9) 2329–2338 (1989).

    Article  CAS  Google Scholar 

  18. Y. Le Bouar, A. Loiseau, A. Finel and F. Ducastelle, Wetting behaviour in the Co-Pt system, Phys. Rev. B 61(5), 3317–3326 (2000).

    Article  Google Scholar 

  19. B. Widom, Structrure of the α — γ Interphace, J. Chem. Phys. 68(8), 3878–3883 (1978).

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Russian Research Centre “Kurchatov Institute”, Moscow, 123182, Russia

    I. R. Pankratov & V. G. Vaks

Authors
  1. I. R. Pankratov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. G. Vaks
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Lawrence National Laboratory, Livermore, California

    Patrice E. A. Turchi , Antonios Gonis  & Annemarie Meike ,  & 

  2. Materials Science and Engineering Department and Information Technology Program, Rensselaer Polyechnic Institute, Troy, New York

    Krishna Rajan

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer Science+Business Media, Inc.

About this chapter

Cite this chapter

Pankratov, I.R., Vaks, V.G. (2005). Microscopical Derivation of Ginzburg-Landau-Type Functionals for Alloys and Their Application to Studies of Antiphase and Interphase Boundaries. In: Turchi, P.E.A., Gonis, A., Rajan, K., Meike, A. (eds) Complex Inorganic Solids. Springer, Boston, MA. https://doi.org/10.1007/0-387-25953-8_29

Download citation

Publish with us

Policies and ethics

Search

Navigation