Skip to main content

Mechanisms for the Dynamics of Phase Transformations

  • Chapter
Condensed Matter Research Using Neutrons

Part of the book series: NATO ASI Series ((NSSB,volume 112))

Abstract

An introductory review of the dynamics of (first- order) phase transitions is given. Concepts describing the initial stages of the transition, such as nucleation, spinodal decomposition (in the case of unmixing) are introduced, and their validity is critically discussed. The theoretical results are compared to recent computer simulations and pertinent experiments. Then the scaling concepts describing the late stages of domain growth are discussed, and open problems are outlined.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Previous reviews of this subject include Refs. 2–8

    Google Scholar 

  2. K. Binder, in Fluctuations,Instabilities and Phase Transitions (T.Riste,ed.)p. 53, Plenum, New York 1975.

    Google Scholar 

  3. K. Binder and D. Stauffer, Adv.Phys. 25, 343 (1976).

    Article  ADS  Google Scholar 

  4. K. Binder, J.phys.(Paris) 41,C4–51(1980).

    Google Scholar 

  5. J.S. Langer, in Systems Far from Equilibrium (L.Garrido, ed.)p.l, Springer, Berlin 1980.

    Google Scholar 

  6. K. Binder, in Ref.5, p.63.

    Google Scholar 

  7. K. Binder, in Stochastic Nonlinear Systems in Physics, Chemistry and Biology (L.Arnold and R. Lefever, eds.)p. 62, Springer, Berlin 1981.

    Google Scholar 

  8. J.D. Gunton, M. San Miguel and P.S. Sahni, in Phase Transitions and Critical Phenomena, Vol. 8 ( C.Domb and J.L. Lebowitz, eds.) Academic Press, New York 1983 p. 267.

    Google Scholar 

  9. J.W. Cahn and J.E. Hilliard, J.Chem.Phys. 28, 258 (1958); J.W. Cahn, Trans.Metall.Soc. AIME 242, 166 (1968).

    Google Scholar 

  10. A. Agarwal and H. Herman, Scripta metall. 7, 503 (1973).

    Article  Google Scholar 

  11. G. Laslaz and P. Guyot, Acta Met. 25, 277 (1977); V. Gerold and J. Kostorz, Appl.Cryst. 11, 376 (1978); G. Laslaz, P. Guyot and G. Kostorz, J.phys.(Paris) 38,406 (1977); M. Hennion, D. Ronzaud, and P. Guyot, Acta Met. 30, 599 (1982); S.P. Singhal, H. Herman and G. Kostorz, J.Appl. Cryst. 11, 572 (1978); S. Katano and M. Iizumi, J.Phys.Soc. Japan 51,347 (1982); M.Furusaka et al., Physica 120B, 383 (1983).

    Google Scholar 

  12. Y.C. Chou and W.I. Goldburg, Phys. Rev. A20,2105 (1979); A23,858 (1981); N.C. Wong and C.M. Knobler, J.Chem.Phys. 69,727 (1978); Phys.Rev. A24, 3205 (1981).

    Google Scholar 

  13. H.L. Snyder, P. Meakin and S. Reich, Macromolecules 16, 757 (1983).

    Article  ADS  Google Scholar 

  14. H.E. Cook, Acta Met. 18, 297 (1970).

    Article  Google Scholar 

  15. K. Binder, Phys.Rev. B15, 4425 (1977).

    Article  ADS  Google Scholar 

  16. N.C. Wong and C.M. Knobler, Phys.Rev.Lett. 43, 1733 (1979); 45, 498 (1980).

    Google Scholar 

  17. Penrose and J.L. Lebowitz, J. Statist.Phys. 3, 211 (1971).

    Article  MathSciNet  ADS  Google Scholar 

  18. K. Binder, Phys.Rev. B8, 3423 (1973).

    Article  ADS  Google Scholar 

  19. J.S. Langer, Physica 73, 61 (1974).

    Article  ADS  Google Scholar 

  20. K. Binder, Phys.Rev. A29, 341 (1984).

    Article  ADS  Google Scholar 

  21. K. Binder, C. Billotet, and P. Mirold, Z.Phys. B30, 183 (1978).

    Google Scholar 

  22. K. Kaski, K. Binder, and J.D. Gunton, J.Phys. A16, L623 (1983); Phys.Rev. in press.

    Google Scholar 

  23. K. Kawasaki, T. Imaeda, and J.D. Gunton, in Perspectives in Statistical Physics, p. 203 ( H.J. Raveché, ed.) North-Holland, Amsterdam 1981.

    Google Scholar 

  24. J.S. Langer, M. Baron, and H.D. Miller, Phys.Rev. All, 1417 (1975).

    Google Scholar 

  25. C. Billotet and K. Binder, Z.Phys. B32, 195 (1979).

    Google Scholar 

  26. C. Billotet and K. Binder, Physica 103A, 99 (1980).

    Article  Google Scholar 

  27. H. Horner and K. Jüngling, Z.Phys. B36, 97 (1979).

    Google Scholar 

  28. G. Dee, J.D. Gunton, and K. Kawasaki, Progr.theor. Phys. 65, 365 (1981).

    Article  ADS  Google Scholar 

  29. M.E. Fisher, Rev.Mod.Phys. 46, 597 (1974).

    Article  ADS  Google Scholar 

  30. P.C. Hohenberg and B.I. Halperin, Rev.Mod.Phys. 49, 435 (1977).

    Article  ADS  Google Scholar 

  31. K. Binder and E. Stoll, Phys.Rev.Lett. 31, 47 (1973); K. Binder and H. Müller-Krumbhaar, Phys.Rev. B9, 2328 (1974); K. Binder, D. Stauffer, and H. Müller-Krumbhaar, Phys.Rev. B12, 5261 (1975).

    Google Scholar 

  32. D. Stauffer, M. Ferer and M. Wortis, Phys.Rev. Lett. 29, 245 (1972).

    Article  ADS  Google Scholar 

  33. J. Marro, A.B. Bortz, M.H. Kalos, and J.L. Lebowitz, Phys.Rev. B12, 2000 (1975).

    Article  ADS  Google Scholar 

  34. I.M. Lifshitz and V.V. Slyozov, J.Phys.Chem. Solids 19, 35 (1961).

    Article  ADS  Google Scholar 

  35. K. Binder and D. Stauffer, Phys.Rev.Iett. 33, 1006 (1974).

    ADS  Google Scholar 

  36. J. Marro, J.L. Lebowitz, and M.H. Kalos, Phys. Rev.Lett. 43, 282 (1979).

    Article  ADS  Google Scholar 

  37. S. Komura, K. Osamura, H. Fujii, and T. Takeda, Hiroshima university preprint (1983).

    Google Scholar 

  38. E. Siggia, Phys.Rev. A20, 595 (1979).

    Article  ADS  Google Scholar 

  39. K. Kawasaki and T. Ohta, Progr.Theor.Phys. 59, 362 (1978).

    Article  ADS  Google Scholar 

  40. H. Furukawa, Phys.Rev.Iett. 43, 136 (1979); Phys. Rev. A23, 1535 (1981).

    Google Scholar 

  41. J.S. Langer and A.J. Schwartz, Phys.Rev. A21, 948 (1980).

    Article  MathSciNet  ADS  Google Scholar 

  42. P.A. Rikvold and J.D. Gunton, Phys.Rev.Lett. 49, 286 (1982).

    Article  ADS  Google Scholar 

  43. A.C. Zettlemoyer (ed.) Nucleation: M.Dekker, New York 1969.

    Google Scholar 

  44. J.S. Langer, Ann.Phys. (N.Y.) 41, 108 (1967); N. J. Günther, D.A. N.cole, and D.J. Wallace, J.Phys. A13, 1755 (1980).

    Google Scholar 

  45. J.W. Cahn and J.E. Hilliard, J.Chem.Phys. 31, 688 (1959).

    Article  ADS  Google Scholar 

  46. W. Klein and C. Unger, Phys.Rev. B28, 445 (1983), and to be published.

    Google Scholar 

  47. H. Furukawa and K. Binder, Phys.Rev. A26, 556 (1982); see also K. Binder and M.H. Kalos, J. Stat.Phys. 22, 363 (1980).

    Article  Google Scholar 

  48. D. Stauffer, A. Coniglio, and D.W. Heermann, Phys.Rev.Lett. 49, 1299 (1982); and to be published.

    Google Scholar 

  49. A.J. Schwartz, S. Krishnamurthy, and W.I. Gold- burg, Phys.Rev. 22, 2147 (1980).

    Article  Google Scholar 

  50. D.W. Heermann, preprint.

    Google Scholar 

  51. K. Binder, J.Chem.Phys. 79, 6387 (1983).

    Article  ADS  Google Scholar 

  52. P.J. Flory, Principles of polymer chemistry Cornell University Press, Ithaca, N.Y. 1976.

    Google Scholar 

  53. T. Ohta, D. Jasnaw and K. Kawasaki, Phys.Rev. Lett. 49, 1223 (1982).

    Article  ADS  Google Scholar 

  54. A. Sadiq and K. Binder, Phys.Rev.Lett. 51, 674 (1983), and to be published.

    Google Scholar 

  55. P.S. Sahni, G.S. Grest, M.P. Anderson, and D.J: Srolowitz, Phys.Rev.Lett. 50, 263 (1983).

    Article  ADS  Google Scholar 

  56. H. Furukawa, preprints.

    Google Scholar 

  57. H.L. Snyder and P.A. Meakin, J.Chem.Phys. 79, 5588 (1983).

    Article  ADS  Google Scholar 

  58. J.P. Simon, P. Guyot and A. Ghilarducci de Salva, Phil.Mag. 49, 1 (1984).

    Google Scholar 

  59. S. Katano and M. Iizumi, Phys.Pev.Lett. 52, 835 (1934).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer Science+Business Media New York

About this chapter

Cite this chapter

Binder, K. (1984). Mechanisms for the Dynamics of Phase Transformations. In: Lovesey, S.W., Scherm, R. (eds) Condensed Matter Research Using Neutrons. NATO ASI Series, vol 112. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9811-1_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-9811-1_1

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9813-5

  • Online ISBN: 978-1-4757-9811-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics