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Statics and Dynamics of the Roughening Transition: A Self-Consistent Calculation

  • Yukio Saito
Chapter
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 50)

Abstract

Crystal growth is strongly influenced by the configuration of the interface between the crystal and the vapour phases. The relation between the growth rate and the interfacial configuration was investigated Chui and Weeks1,2 by means of linear-response theory and by using the Kosterlitz renormalization-group (RG) method. Above the roughening temperature T, where the interface is rough, the growth rate R is found to be proportional to the chemical potential difference Ay, whereas below T, where the interface is flat, the crystal is found not to grow. A puzzling feature of their results is that the ratio R/Ay for ∆µ → 0 is finite on approaching TR from above, whereas it remains zero on approaching TR from below. Interesting unanswered questions concern the extent of the non-growing region (in Ay) below T, and the nature of the growth for larger ∆µ.

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References

  1. 1.
    J.D. Weeks, “Roughening Transition” (in this volume) and references cited.Google Scholar
  2. 2.
    D.L. Chui and J.D. Weeks, Phys. Rev. Lett. 40, (1978) 733.ADSCrossRefGoogle Scholar
  3. 3.
    Y. Saito, Z. Phys. B32, (1978) 75.ADSGoogle Scholar
  4. 4.
    H.J.F. Knops, Phys. Rev. Lett. 39, (1977) 776.MathSciNetADSCrossRefGoogle Scholar
  5. 5.
    J.V. Jose, L.P. Kadanoff, S. Kirkpatrick, and D.R. Nelson, Phys. Rev. B16, (1977) 1217.Google Scholar
  6. 6.
    R.H. Swendsen, Phys. Rev. B17, (1978) 3710.ADSGoogle Scholar
  7. 7.
    Y. Saito, submitted to Prog. Theor. Phys.Google Scholar
  8. 8.
    T. Ohta and K. Kawasaki, Prog. Theor. Phys. 60, (1978) 365.ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • Yukio Saito
    • 1
  1. 1.IFF, KFA JülichJülichFed. Rep. of Germany

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