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Recent Theoretical Developments in the Kinetics of First Order Phase Transitions

  • J. D. Gunton
Part of the NATO ASI Series book series (volume 167)

Abstract

The study of pattern formation in nature is one of the most fascinating fields in modern physics. The subject includes a large number of disparate phenomena, such as the growth of snowflakes, Rayleigh-Benard thermoconvections, phase separation in polymer blends and the early stages of the inflationary universe. Although such problems have important differences, they share several common features, one being the formation of ordered structures from initially disordered states. As well, the dynamical description of such phenomena typically involves nonlinear equations of motion.

Keywords

Renormalization Group Binary Alloy Ising Model Monte Carlo Study Domain Growth 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    J. D. Gunton, M. San Miguel and P. S. Sahni, in Phase Transitions and Critical Phenomena, Vol. 8, p. 267 (1983), edited by C. Domb and J. L. Lebowitz (New York, Academic Press).Google Scholar
  2. 2.
    J. S. Langer, in Systems Far From Equilibrium, Lecture Notes on Physics, No. 132, (1980), ed. L. Garrido (Springer Verlag, Heidelberg).Google Scholar
  3. 3.
    K. Binder, Condensed Matter Research Using Neutrons, p. 1 (1985), edited by S. W. Lovesy and R. Scherm ( New York, Plenum).Google Scholar
  4. 4.
    J. D. Gunton, J. Stat. Phys. 34, 1019 (1984).MathSciNetADSCrossRefGoogle Scholar
  5. 5.
    K. Binder, in Statistical Physics, p. 35 (1986) edited by H. Eugene Stanley (North Holland, Amsterdam).Google Scholar
  6. 6.
    P. W. Voorhees, J. Stat. Phys. 38, 231 (1985).ADSCrossRefGoogle Scholar
  7. 7.
    I. M. Lifshitz and V. V. Slyozov, J. Phys. Chem. Solids 19, (1961).Google Scholar
  8. 8.
    A. Milchev, K. Binder and D. W. Heermann, Z. Phys. B63, 521 (1986).ADSCrossRefGoogle Scholar
  9. 9.
    M. Hennion, D. Ronzaud and P. Guyot, Acta. Metl. 30, 599 (1982).CrossRefGoogle Scholar
  10. 10.
    P. C. Hohenberg and B. I. Halperin, Rev. Mod. Phys. 49, 435 (1977).ADSCrossRefGoogle Scholar
  11. 11.
    J. D. Gunton, in Lecture Notes in Physics, No. 104, Springer-Verlag, Heidelberg (1979).Google Scholar
  12. 12.
    J. S. Langer, Ann. Phys. (N. Y.) 54, 258 (1969).ADSCrossRefGoogle Scholar
  13. 13.
    J. D. Gunton and M. Droz, Introduction to the Dynamics of Metastable and Unstable States, Lecture Notes in Physics, Vol. 183 (1983), ed. J. Zittartz (Springer-Verlag, Berlin).Google Scholar
  14. 14.
    M. Grant and J. D. Gunton, Phys. Rev. B32, 7299 (1985).ADSCrossRefGoogle Scholar
  15. 15.
    J. Cahn, Acta Met. 9, 795 (1961); ibid 10, 179 (1962).Google Scholar
  16. 16.
    J. S. Langer, M. Baron and H. D. Miller, Phys. Rev. A11, 1417 (1975).ADSCrossRefGoogle Scholar
  17. 17.
    M. Grant, M. San Miguel, J. Vinais and J. D. Gunton, Phys. Rev. B31, 3027 (1985).ADSCrossRefGoogle Scholar
  18. 18.
    C. Billotet and K. Binder, Z. Phys. B32, 195 (1979).ADSCrossRefGoogle Scholar
  19. 19.
    R. Petschek and H. Metiu, J. Chem. Phys. 79, 3343 (1983).CrossRefGoogle Scholar
  20. 20.
    O. Valls and G. F. Mazenko, to be published, Phys. Rev. B.Google Scholar
  21. 21.
    K. Kawasaki, M. C. Yalabik and J. D. Gunton, Phys. Rev. A17, 455 (1978).ADSCrossRefGoogle Scholar
  22. 22.
    S. M. Allen and J. W. Cahn, Acta Metl. 27, 1085 (1979).CrossRefGoogle Scholar
  23. 23.
    T. Ohta, D. Jasnow and K. Kawasaki, Phys. Rev. Lett. 49, 1223 (1982).ADSCrossRefGoogle Scholar
  24. 24.
    O. G. Mouritsen, Phys. Rev. Lett. 56, 850 (1986).ADSCrossRefGoogle Scholar
  25. 25.
    K. Kaski, S. Kumar, J. D. Gunton and P. A. Rikvold, Phys. Rev. B29, 4420 (1984).ADSCrossRefGoogle Scholar
  26. 26.
    A. Milchev, D. W. Heermann and K. Binder, unpublished.Google Scholar
  27. 27.
    E. T. Gawlinski, J. D. Gunton and C. Miller, unpublished.Google Scholar
  28. 28.
    J. J. Weins and J. W. Cahn, in Sintering and Related Phenomena, p. 151 Plenum, New York (1973).CrossRefGoogle Scholar
  29. 29.
    A. J. Ardell, Acta. Met. 20, 61 (1972).CrossRefGoogle Scholar
  30. 30.
    A. D. Brailsford and P. Wynblatt, Acta. Met. 27, 489 (1979).CrossRefGoogle Scholar
  31. 31.
    P. W. Voorhees and M. E. Glicksman, Acta. Met. 32, 2001 (1984).CrossRefGoogle Scholar
  32. 32.
    P. W. Voorhees and M. E. Glicksman, Acta Met. 32, 2013 (1984).CrossRefGoogle Scholar
  33. 33.
    J. A. Marqusee and J. Ross, J. Chem. Phys. 80, 536 (1984).ADSCrossRefGoogle Scholar
  34. 34.
    M. Tokuyama and K. Kawasaki, Physica 123A, 386 (1984).ADSGoogle Scholar
  35. 351.
    M. Tokuyama, K. Kawasaki and Y. Enomoto, Physica 134A, 323 (1986).ADSGoogle Scholar
  36. 36.
    Y. Enomoto, M. Tokuyama and K. Kawasaki, Acta Met. 34, 2119 (1986).CrossRefGoogle Scholar
  37. 37.
    Y. Enomoto, K. Kawasaki and M. Tokuyama, to be published, Acta Met. (1987).Google Scholar
  38. 38.
    Y. Enomoto, K. Kawasaki and M. Tokuyama, “Computer Modelling of Ostwald Ripening”, Kyushu University preprint (1986).Google Scholar
  39. 39.
    C. W. J. Beenakker, Phys. Rev. 33A, 4482 (1986).ADSGoogle Scholar
  40. 40.
    M. Marder, Phys. Rev. Lett. 55, 2953 (1985).ADSCrossRefGoogle Scholar
  41. 41.
    P. K. Rastogi and A. J. Ardell, Acta Metl. 19, 321 (1971).CrossRefGoogle Scholar
  42. 42.
    T. Hirata and D. H. Kirkwood, Acta Met. 25, 1425 (1977).CrossRefGoogle Scholar
  43. 43.
    T. Eguchi, Y. Tomokiyo and S. Matsumura, in Phase Transitions (1987), to be published.Google Scholar
  44. 44.
    G. F. Mazenko and O. T. Valls, Phys. Rev. 33, 1823 (1986).ADSGoogle Scholar
  45. 45.
    G. F. Mazenko and O. T. Valls, Phys. Rev. B27, 6811 (1983).ADSCrossRefGoogle Scholar
  46. 46.
    G. F. Mazen o and O. T. Valls, Phys. Rev. B30, 6732 (1984).ADSCrossRefGoogle Scholar
  47. 47.
    S. R. Anderson, G. F. Mazenko and O. T. Valls, J. Stat. Phys. 41, 17 (1985).ADSCrossRefGoogle Scholar
  48. 48.
    M. Grant and J. D. Gunton, Phys. Rev. B29, 6266 (1984).ADSCrossRefGoogle Scholar
  49. 49.
    E. T. Gawlinski, S. Kumar, M. Grant, J. D. Gunton and K. Kaski, Phys. Rev. B32, 1575 (1985).ADSCrossRefGoogle Scholar
  50. 50.
    K. Kawasaki and T. Ohta, Progr. Theoret. Phys. 67, 147 (1982).ADSCrossRefGoogle Scholar
  51. 51.
    K. Kawasaki and T. Ohta, Progr. Theoret. Phys. 68, 129 (1982).ADSCrossRefGoogle Scholar
  52. 52.
    K. Kawasaki and T.Ohta, Physica A118, 175 (1983).ADSCrossRefGoogle Scholar
  53. 53.
    M. San Miguel, M. Grant and J. D. Gunton, Phys. Rev. B31, 1001 (1985).Google Scholar
  54. 54.
    E. D. Siggia, Phys. Rev. A20, 595 (1979).ADSCrossRefGoogle Scholar
  55. 55.
    Y. C. Chou and W. I. Goldburg, Phys. Rev. A23, 858 (1981).ADSCrossRefGoogle Scholar
  56. 56.
    N. C. Wong and C. M. Knobler, Phys. Rev. A24, 3205 (1981).ADSCrossRefGoogle Scholar
  57. 57.
    T. Ohta, Prog. Theor. Phys. Supplement No. 79, 141 (1984).ADSCrossRefGoogle Scholar
  58. 58.
    T. Ohta, Ann. of Phys. (N. Y.) 158, 31 (1984)ADSCrossRefGoogle Scholar
  59. 59.
    C. M. Knobler and N. C. Wong, J. Phys. Chem. 85, 1972 (1981).CrossRefGoogle Scholar
  60. 60.
    D. Chowdhury, K. Kaski and J. D. Gunton (unpublished).Google Scholar
  61. 61.
    G. F. Mazenko, O. T. Valls and F. C. Zhang, Phys. REv. B32, 5807 (1985).ADSCrossRefGoogle Scholar
  62. 62.
    G. F. Mazenko, invited talk, presented at the March meeting of the APS, Las Vegas, Nevada (1986).Google Scholar
  63. 63.
    D. Huse, Phys. Rev. B34, 7845 (1986).ADSCrossRefGoogle Scholar
  64. 64.
    S. K. Ma, Phys. Rev. Lett. 37, 461 (1976).ADSCrossRefGoogle Scholar
  65. 65.
    R. H. Swendson, in Real Space Renormalization, edited by T. W. Burkhardt and J.M.J. van Leeuwen (Springer-Verlag, New York), p. 57 (1982).CrossRefGoogle Scholar
  66. 66.
    J. Vinais, M. Grant, M. San Miguel and J. D. Gunton and E. T. Gawlinski, Phys. Rev. Lett. 54, 1264 (1985).ADSCrossRefGoogle Scholar
  67. 67.
    S. Kumar, J. Vinais and J. D. Gunton, Phys. Rev. B34, 1908 (1986).ADSCrossRefGoogle Scholar
  68. 68.
    J. Vinais and J. D. Gunton, Phys. Rev. B33, 7795 (1986).ADSCrossRefGoogle Scholar
  69. 69.
    P. Sahni, D. J. Srolovitz, G. S. Grest, M. P. Anderson and S. A. Safran, Phys. Rev. B28, 2705 (1983).ADSCrossRefGoogle Scholar
  70. 70.
    K. Kaski, J. Nieminen and J. D. Gunton, Phys. Rev. B31, 2998 (1985).ADSCrossRefGoogle Scholar
  71. 71.
    B. Moore, C. M. Knobler, D. Broseta and F. Rondelez, J. Chem. Soc., Faraday Trans. 2, 82, 1753 (1986).CrossRefGoogle Scholar
  72. 72.
    K. Heinz, to be published in Proceedings of Campobello Meeting on Surface Science, Springer-Verlag (1987), editors M. Grunze and J. Kreuzer.Google Scholar
  73. 73.
    J. D. Gunton, “Kinetics of Adatom Ordering on Surfaces”, ibid ref. 72.Google Scholar
  74. 74.
    P. W. Voorhees, G. B. McFadden, R. F. Boisvert and D. I. Meiron, submitted to Acta Met. (1986).Google Scholar
  75. 75.
    Y. Oono and S. Puri, Phys. Rev. Lett. 58, 836 (1987).ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1987

Authors and Affiliations

  • J. D. Gunton
    • 1
  1. 1.Physics Department and Center for Advanced Computational ScienceTemple UniversityPhiladelphiaUSA

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