Advertisement

Journal of Statistical Physics

, Volume 38, Issue 1–2, pp 191–205 | Cite as

On the interface at the equilibrium crystallization

  • L. A. Bol'shov
  • V. L. Pokrovsky
  • G. V. Uimin
Articles

Abstract

Properties of an interface, created at some experimental conditions in the course of the equilibrium crystallization process, are theoretically investigated. Influence of quantum and thermal fluctuations on smoothing-roughening phase transitions is considered. The phase diagram illustrating these properties is found.

Key words

Interface equilibrium crystallization crystal shape roughening transition surface tension bifurcation set transfer-matrix method critical behavior vicinal face 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    L. D. Landau, inCollected Works, Vol. 2 (Nauka, Moscow, 1969), p. 119; English transl.:Collected Papers of L. D. Landau (Pergamon Press, Oxford, 1965–70).Google Scholar
  2. 2.
    L. A. Bol'shov, A. M. Dykhne, A. P. Napartovitch, inProceedings of the XV Conference on Emission Electronics, Vol. 1 (Institute of Physics Press, Kiev, 1973), p. 6.Google Scholar
  3. 3.
    A. F. Andreev and A. Y. Parshin,ZhETF 75:1511 (1978).Google Scholar
  4. 4.
    V. I. Marchenko,Pis'ma ZheTF 35:459 (1982).Google Scholar
  5. 5.
    K. O. Keshishev, A. Y. Parshin, and A. V. Babkin,Pis'ma ZhETF 30:63 (1979).Google Scholar
  6. 6.
    J. E. Avron, L. S. Balfour, C. G. Kuper, J. Landau, S. G. Lipson, and L. S. Shulman,Phys. Rev. Lett. 45:814 (1980).Google Scholar
  7. 7.
    S. Balibar and B. Castaing,J. Phys. (Paris) Lett. 41:L329 (1980).Google Scholar
  8. 8.
    P. E. Wolf, S. Balibar, and F. Gallet,Phys. Rev. Lett. 51:1366 (1983).Google Scholar
  9. 9.
    J. E. Avron, L. S. Balfour, and R. Zia,J. Stat. Phys. (in press).Google Scholar
  10. 10.
    D. S. Fisher and J. D. Weeks,Phys. Rev. Lett. 50: 1077 (1983).Google Scholar
  11. 11.
    S. Aubry,Ferroelectronics 24:52 (1980).Google Scholar
  12. 12.
    V. L. Pokrovsky,J. Phys. (Paris) 42:762 (1981).Google Scholar
  13. 13.
    J. Hubbard,Phys. Rev. B 17:494 (1978).Google Scholar
  14. 14.
    V. L. Pokrovsky and G. V. Uimin,J. Phys. C 11:3535 (1978).Google Scholar
  15. 15.
    P. Bak and R. Bruinsma,Phys. Rev. Lett. 49:249 (1982).Google Scholar
  16. 16.
    S. E. Burkov and Ya. G. Sinai,Usp. Mat. Nauk 38:205 (1983).Google Scholar
  17. 17.
    S. E. Burkov, V. L. Pokrovsky, and G. Uimin,J. Phys. A 15:L645 (1982).Google Scholar
  18. 18.
    G. V. Uimin and V. L. Pokrovsky,J. Phys. (Paris) Lett. 44: L865 (1983).Google Scholar
  19. 19.
    I. F. Lyuksyutov, V. K. Medvedev, and I. N. Yakovkin,ZhETF 80:2452 (1981).Google Scholar
  20. 20.
    A. Luther and D. J. Scalapino,Phys. Rev. B 16:1153 (1977).Google Scholar
  21. 21.
    M. P. M. den Nijs,Physica 111A:273 (1982).Google Scholar
  22. 22.
    G. Wulff,Z. Kristallogr. Mineralogie 34:449 (1901).Google Scholar
  23. 23.
    C. Herring,Phys. Rev. 82:87 (1951).Google Scholar

Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • L. A. Bol'shov
    • 1
  • V. L. Pokrovsky
    • 1
  • G. V. Uimin
    • 1
  1. 1.L. D. Landau Institute for Theoretical PhysicsMoscowUSSR

Personalised recommendations