Skip to main content
SpringerLink
Log in
Book cover

Metallic Alloys: Experimental and Theoretical Perspectives pp 261–270Cite as

Monte Carlo Simulations of Body Centered Cubic Alloys

  • Chapter

Part of the book series: NATO ASI Series ((NSSE,volume 256))

Abstract

We illustrate the use of Monte Carlo simulations in the study of order-disorder phenomena in metallic alloys by presenting detailed work on a fairly realistic lattice model for iron aluminum. The model has been constructed based on recent measurements of effective interaction parameters and includes a description of the magnetism of iron within a Heisenberg Hamiltonian. We show that it reproduces the bulk phase diagram in a qualitatively correct way. Then internal antiphase boundaries and free surfaces in the (100)-direction are studied. An interfacial roughening transition is predicted as well as critical broadening of the profiles as the bulk approaches a second order transition. Nonstoechiometry with respect to perfect bulk ordering is shown to induce interfacial enrichment and under certain circumstances an ordering surface field.

This is a preview of subscription content, 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   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L.M. Stocks and A. Gonis eds., Alloy phase stability, Kluwer Academic Publishers 1989

    Google Scholar 

  2. P. Haasen ed., Materials Science and Technology, vol. 5: Phase Transformations in Materials, VCH Verlagsgesellschaft, Weinheim, Germany 1991

    Google Scholar 

  3. J. Als-Nielsen in Phase Transitions and Critical Phenomena 5a, p 88, C. Domb and M.S. Green eds., Academic Press, New York 1976

    Google Scholar 

  4. L. Mailänder, H. Dosch, J. Peisl, R.L. Johnson, Phys. Rev. Lett. 64, 2527 (1990)

    Article  MathSciNet  Google Scholar 

  5. D. De Fontaine in Solid State Physics 34, p 73 H. Ehrenreich, F. Seitz and D. Turnbell eds., Academic Press, New York 1979

    Google Scholar 

  6. K. Binder in Festkörperprobleme (Advances in Solid State Physics) 26, p 133, P. Grosse ed., Vieweg, Braunschweig 1986

    Google Scholar 

  7. O. Kubaschewski in Iron — Binary Phase Diagrams, p 5, Springer Verlag, Berlin 1982

    Google Scholar 

  8. B. Dünweg, K. Binder, Phys. Rev. B 36, 6935 (1987)

    ADS  Google Scholar 

  9. V. Pierron-Bohnes, M.C. Cadeville, A. Finel, O. Schaerpf, J. Physique I1,247 (1991)

    ADS  Google Scholar 

  10. F. Schmid, K. Binder, J. Phys.: Condens. Matter 4, 3569 (1992)

    Article  ADS  Google Scholar 

  11. F. Schmid, K. Binder, Phys. Rev. B 46, 13553 (1992)

    ADS  Google Scholar 

  12. F. Schmid, K. Binder, Phys. Rev. B 46, 13565 (1992)

    ADS  Google Scholar 

  13. F. Schmid, Z. Phys. B 91, 77 (1993)

    Article  ADS  Google Scholar 

  14. P. Binder in Phase Transitions and Critical Phenomena 8, p 1, C. Domb and J.L. Lebowitz eds., Academic Press, London 1983

    Google Scholar 

  15. H.W. Diehl in Phase Transitions and Critical Phenomena 10, p 75, C. Domb and J.L. Lebowitz eds., Academic Press, London 1986

    Google Scholar 

  16. J.D. Weeks in Ordering in Strongly Fluctuating Condensed Matter Systems, p 293, T. Riste edt., Plenum Press, New York 1980

    Chapter  Google Scholar 

  17. H. van Beijeren, I. Nolden in Structure and Dynamics of Surfaces II: Phenomena, Models and Methods, p 259, W. Schommers and P. von Blanckenhagen eds., Springer, Berlin-Heidelberg 1987

    Chapter  Google Scholar 

  18. G. Forgacs, R. Lipowski, Th.M. Niewenhuizen in Phase Transitions and Critical Phenomena 14, p 136, C. Domb and J.L. Lebowitz eds., Academic Press, New York 1991

    Google Scholar 

  19. W.J. Shugard, J.D. Weeks, G.H. Gilmer, Phys. Rev. Lett. 31, 549 (1978)

    Google Scholar 

  20. J.D. Weeks, H.J. Leamy, G.H. Gilmer, K.A. Jackson, P. Bennema, Phys. Rev. Lett. 30, 601 (1978)

    Google Scholar 

  21. K. Binder, Phys. Rev. A 25, 1699 (1982)

    Article  ADS  Google Scholar 

  22. E. Bürkner, D. Stauffer, Z. Phys. B 53, 241 (1983)

    Article  ADS  Google Scholar 

  23. K.K. Mon, S. Wansleben, D.P. Landau, K. Binder, Phys. Rev. Lett. 60, 708 (1988); Phys. Rev. B 39, 7089 (1989)

    Article  ADS  Google Scholar 

  24. K.K. Mon, D.P. Landau, D. Stauffer, Phys. Rev. B 42, 545 (1990)

    ADS  Google Scholar 

  25. R. Kikuchi, J.W. Cahn, Acta Metall. 27, 1337 (1979)

    Article  Google Scholar 

  26. A. Finel, V. Mazauric, F. Ducastelle, Phys. Rev. Lett. 65, 1016 (1990)

    Article  ADS  Google Scholar 

  27. W.C. Johnson and J.M. Blakely eds., Interfacial Segregation, American Society for Metals 1979

    Google Scholar 

  28. B. Widom in Phase Transitions and Critical Phenomena 2, p 79, C. Domb and M.S. Green eds., Academic Press, New York 1972

    Google Scholar 

  29. J.S. Rowlinson, B. Widom, Molecular Theory of Capillarity, Clarendon, Oxford 1982

    Google Scholar 

  30. J.M. Kosterlitz, J.D. Thouless, J. Phys. C 6, 1181 (1973)

    ADS  Google Scholar 

  31. S. Ma, Modern Theory of Critical Phenomena, Frontiers in Physics, Benjamin/Cummings Company 1976

    Google Scholar 

  32. B. Widom, J. Chem. Phys. 43, 3892 (1965)

    Article  ADS  Google Scholar 

  33. W. Selke, Z. Phys. B 47, 335 (1982); Z. Phys. B 50, 113 (1983)

    Article  ADS  Google Scholar 

  34. W. Selke, J. Yeomans, J. Phys. A 16, 2789 (1983)

    ADS  Google Scholar 

  35. F. Schmid, thesis 1991, unpublished result

    Google Scholar 

  36. H.W. Diehl, S. Dietrich, Phys. Rev. B 24, 2878 (1981); Z. Phys. B 50, 117 (1983)

    ADS  Google Scholar 

  37. K. Binder, D.P. Landau, Phys. Rev. Lett. 52, 318 (1984); Surf. Sci. 151, 409 (1985)

    Article  ADS  Google Scholar 

  38. D.P. Landau, K. Binder, Phys. Rev. B 41, 4633 (1990)

    ADS  Google Scholar 

  39. D. Voges, E. Taglauer, H. Dosch, J. Peisl, Surf. Sci. 269–270, 1142 (1990)

    Google Scholar 

Download references

Author information

Author notes

  1. F. Schmid

    Present address: Department of physics, University of Washington, FM-15, Seattle, WA, 98195, USA

Authors and Affiliations

  1. Institut für Physik, Johannes Gutenberg Universität Mainz, Staudingerweg 7, W-6500, Mainz, Germany

    F. Schmid & K. Binder

Authors
  1. F. Schmid
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. Binder
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Alloy Research Center, Department of Physics, Florida Atlantic University, Boca Raton, Florida, USA

    J. S. Faulkner  & R. G. Jordan  & 

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Schmid, F., Binder, K. (1994). Monte Carlo Simulations of Body Centered Cubic Alloys. In: Faulkner, J.S., Jordan, R.G. (eds) Metallic Alloys: Experimental and Theoretical Perspectives. NATO ASI Series, vol 256. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1092-1_29

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-1092-1_29

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4477-6

  • Online ISBN: 978-94-011-1092-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation