Advertisement

Domain Growth in Systems with Quenched Disorder

  • Sushanta Dattagupta
  • Sanjay Puri
Part of the Springer Series in Materials Science book series (SSMATERIALS, volume 71)

Abstract

The phase ordering systems described in Chap. 3 were typically pure and isotropic. However, real experimental systems contain disorder in the form of impurities, which may be either mobile or immobile. This chapter focuses on domain growth in systems with immobile or quenched disorder. In Chap. 3, we have already summarized the growth laws and scaling functions which characterize domain growth in pure systems. In general, sites of quenched disorder act as traps for coarsening domains. Once a domain wall is trapped, it can only move by thermal activation over the corresponding energy barrier. There are various classes of disorder studied in the context of experimental systems, e.g., random exchange interactions, random fields, etc.

Keywords

Monte Carlo Ising Model Spin Glass Domain Growth Dynamical Scaling 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 154.
    A.B. Harris, J. Phys. C 7, 1671 (1974)ADSCrossRefGoogle Scholar
  2. 155.
    A.B. Harris and T.C. Lubensky, Phys. Rev. Lett. 33, 1540 (1974)ADSCrossRefGoogle Scholar
  3. 156.
    G. Grinstein and A. Luther, Phys. Rev. B 13, 1329 (1976)ADSCrossRefGoogle Scholar
  4. 157.
    R.B. Stinchcombe, in Phase Transitions and Critical Phenomena Vol. 7, ed. by C. Domb and J.L. Lebowitz (Academic Press, London 1983 )Google Scholar
  5. 158.
    T. Nattermann and J. Villain, Phase Transitions 11, 5 (1988)CrossRefGoogle Scholar
  6. 159.
    T. Nattermann and P. Rujan, Int. J. Mod. Phys. B 3, 1597 (1989)ADSCrossRefGoogle Scholar
  7. 160.
    T. Nattermann, in Spin Glasses and Random Fields, ed. by A.P. Young ( World Scientific, Singapore 1997 )Google Scholar
  8. 161.
    S.-K. Ma, Modern Theory of Critical Phenomena (Addison-Wesley, Reading, Massachusetts 1981 )Google Scholar
  9. 162.
    Z.W. Lai, G.F. Mazenko and O.T. Valls, Phys. Rev. B 37, 9481 (1988)MathSciNetADSCrossRefGoogle Scholar
  10. 163.
    W. Feller, Introduction to Probability Theory and its Applications ( John Wiley, New York 1968 )zbMATHGoogle Scholar
  11. 164.
    D. Stauffer, Phys. Rep. 54, 1 (1979)Google Scholar
  12. 165.
    D. Stauffer, Introduction to Percolation Theory ( Taylor and Francis, London 1985 )zbMATHCrossRefGoogle Scholar
  13. 166.
    A. Coniglio, Phys. Rev. Lett. 46, 250 (1981)ADSCrossRefGoogle Scholar
  14. 167.
    D. Forster, D.R. Nelson and M.J. Stephen, Phys. Rev. A 16, 732 (1977)MathSciNetADSCrossRefGoogle Scholar
  15. 168.
    D.A. Huse, C.L. Henley and D.S. Fisher, Phys. Rev. Lett. 55, 2924 (1985)ADSCrossRefGoogle Scholar
  16. 169.
    C.L. Henley, Phys. Rev. Lett. 54, 2030 (1985)MathSciNetADSCrossRefGoogle Scholar
  17. 170.
    R. Rammal and A. Benoit, Phys. Rev. Lett. 55, 649 (1985)ADSCrossRefGoogle Scholar
  18. 171.
    D. Chowdhury and B. Biswal, Physica A 180, 253 (1992)ADSCrossRefGoogle Scholar
  19. 172.
    K. Binder and A.P. Young, Rev. Mod. Phys. 58, 801 (1986)ADSCrossRefGoogle Scholar
  20. 173.
    M. Mezard, G. Parisi and M. Virasoro, Spin Glass Theory and Beyond ( World Scientific, Singapore 1987 )zbMATHGoogle Scholar
  21. 174.
    K.H. Fischer and J.A. Hertz, Spin Glasses ( Cambridge University Press, Cambridge 1991 )CrossRefGoogle Scholar
  22. 175.
    G. Parisi, Phys. Rev. Lett. 43, 1754 (1979); J. Phys. A 13, L115 (1980)Google Scholar
  23. 176.
    D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. 35, 1792 (1975)ADSCrossRefGoogle Scholar
  24. 177.
    H. Rieger, B. Steckemetz and M. Schreckenberg, Europhys. Lett. 27, 485 (1994)ADSCrossRefGoogle Scholar
  25. 178.
    J. Kisker, L. Santen, M. Schreckenberg and H. Rieger, Phys. Rev. B 53, 6418 (1996)ADSCrossRefGoogle Scholar
  26. 179.
    J.-P. Bouchaud, L.F. Cugliandolo, J. Kurchan and M. Mezard, in Spin Glasses and Random Fields, ed. by A.P. Young ( World Scientific, Singapore 1997 ), p. 161CrossRefGoogle Scholar
  27. 180.
    A. Crisanti and F. Ritort, J. Phys. A 36, R181 (2003)MathSciNetADSzbMATHCrossRefGoogle Scholar
  28. 181.
    Y. Imry and S.-K. Ma, Phys. Rev. Lett. 35, 1399 (1975)ADSCrossRefGoogle Scholar
  29. 182.
    J.Z. Imbrie, Phys. Rev. Lett. 53, 1747 (1984); Commun. Math. Phys. 98, 145 (1985)MathSciNetADSzbMATHCrossRefGoogle Scholar
  30. 183.
    J. Bricmont and A. Kupiainen, Phys. Rev. Lett. 59, 1829 (1987); Commun. Math. Phys. 116, 539 (1988)MathSciNetADSCrossRefGoogle Scholar
  31. 184.
    J. Villain, Phys. Rev. Lett. 52, 1543 (1984)ADSCrossRefGoogle Scholar
  32. 185.
    G. Grinstein and J.F. Fernandez, Phys. Rev. B 29, 6389 (1984)ADSCrossRefGoogle Scholar
  33. 186.
    R. Bruinsma and G. Aeppli, Phys. Rev. Lett. 52, 1547 (1984)ADSCrossRefGoogle Scholar
  34. 187.
    D. Andelman and J.-F. Joanny, Phys. Rev. B 32, 4818 (1985)ADSCrossRefGoogle Scholar
  35. 188.
    M. Grant and J.D. Gunton, Phys. Rev. B 29, 6266 (1984); Phys. Rev. B 35, 4922 (1987)Google Scholar
  36. 189.
    J.D. Shore and J.P. Sethna, Phys. Rev. B 43, 3782 (1991)ADSCrossRefGoogle Scholar
  37. 190.
    J.D. Shore, M. Holzer and J.P. Sethna, Phys. Rev. B 46, 11376 (1992)ADSCrossRefGoogle Scholar
  38. 191.
    T. Nagai and K. Kawasaki, Physica A 134, 483 (1986)ADSCrossRefGoogle Scholar
  39. 192.
    H. Ikeda, Y. Endoh and S. Itoh, Phys. Rev. Lett. 64, 1266 (1990)ADSCrossRefGoogle Scholar
  40. 193.
    H. Ikeda, J. Phys. C 16, L1033 (1983)ADSCrossRefGoogle Scholar
  41. 194.
    S. Itoh, H. Ikeda, T. Suzuki and Y. Endoh, J. Phys. Soc. Jpn. 60, 3238 (1991)ADSCrossRefGoogle Scholar
  42. 195.
    A.G. Schins, A.F.M. Arts and H.W. de Wijn, Phys. Rev. Lett. 70, 2340 (1993)ADSCrossRefGoogle Scholar
  43. 196.
    D.K. Shenoy, J.V. Selinger, K.A. Grüneberg, J. Naciri and R. Shashidhar, Phys. Rev. Lett. 82, 1716 (1999)Google Scholar
  44. 197.
    V. Likodimos, M. Labardi and M. Allegrini, Phys. Rev. B 61, 14440 (2000)ADSCrossRefGoogle Scholar
  45. 198.
    V. Likodimos, M. Labardi, X.K. Orlik, L. Pardi, M. Allegrini, S. Emonin and O. Marti, Phys. Rev. B 63, 064104 (2001)Google Scholar
  46. 199.
    K. Hamano, J. Zhang, K. Abe, T. Mitsui, H. Sakata and K. Erna, J. Phys. Soc. Jpn. 65, 142 (1996)ADSCrossRefGoogle Scholar
  47. 200.
    J. Zhang, K. Hamano, K. Abe, T. Mitsui, H. Sakata and K. Erna, J. Phys. Soc. Jpn. 65, 149 (1996)ADSCrossRefGoogle Scholar
  48. 201.
    S. Fishman and A. Aharony, J. Phys. C 12, L729 (1979)ADSCrossRefGoogle Scholar
  49. 202.
    J.L. Cardy, Phys. Rev. B 29, 505 (1984)ADSCrossRefGoogle Scholar
  50. 203.
    J. Villain, J. Phys. (Paris) Lett. 43, L551 (1982)Google Scholar
  51. 204.
    P.-Z. Wong and J.W. Cable, Phys. Rev. B 28, 5361 (1983)ADSCrossRefGoogle Scholar
  52. 205.
    R.A. Cowley and W.J.L. Buyers, J. Phys. C 15, L1209 (1982)ADSCrossRefGoogle Scholar
  53. 206.
    R.J. Birgenau, R.A. Cowley, G. Shirane and H. Yoshizawa, J. Stat. Phys. 34, 817 (1984)ADSCrossRefGoogle Scholar
  54. 207.
    Y. Shapira, N.F. Oliveira and S. Foner, Phys. Rev. B 30, 6639 (1984)ADSCrossRefGoogle Scholar
  55. 208.
    M. Lederman, J.V. Selinger, R. Bruinsma, R. Orbach and J. Hammann, Phys. Rev. B 48, 3810 (1993)ADSCrossRefGoogle Scholar
  56. 209.
    Q. Feng, R.J. Birgenau and J.P. Hill, Phys. Rev. B 51, 15188 (1995)ADSCrossRefGoogle Scholar
  57. 210.
    J.-K. Zuo, G.-C. Wang and T.-M. Lu, Phys. Rev. Lett. 60, 1053 (1988)ADSCrossRefGoogle Scholar
  58. 211.
    P. Schleger, R.A. Hadfield, H. Casalta, N.H. Andersen, H.F. Poulsen, M. von Zimmermann, J.R. Schneider, R. Liang, P. Dosanjh and W.N. Hardy, Phys. Rev. Lett. 74, 1446 (1995)ADSCrossRefGoogle Scholar
  59. 212.
    F. Brochard and P.G. de Gennes, J. Phys. (Paris) Lett. 44, 785 (1983)CrossRefGoogle Scholar
  60. 213.
    P.G. de Gennes, J. Phys. Chem. 88, 6469 (1984)CrossRefGoogle Scholar
  61. 214.
    A.J. Liu, D.J. Durian, E. Herbolzheimer and S.A. Safran, Phys. Rev. Lett. 65, 1897 (1990)ADSCrossRefGoogle Scholar
  62. 215.
    L. Monette, A.J. Liu and G.S. Crest, Phys. Rev. A 46, 7664 (1992)ADSCrossRefGoogle Scholar
  63. 216.
    A. Chakrabarti, Phys. Rev. Lett. 69, 1548 (1992)ADSCrossRefGoogle Scholar
  64. 217.
    B.J. Frisken, F. Ferri and D.S. Cannell, Phys. Rev. Lett. 66, 2754 (1991)ADSCrossRefGoogle Scholar
  65. 218.
    B.J. Frisken and D.S. Cannell, Phys. Rev. Lett. 69, 632 (1992)ADSCrossRefGoogle Scholar
  66. 219.
    Z. Zhuang, A.G. Casielles and D.S. Cannell, Phys. Rev. Lett. 77, 2969 (1996)ADSCrossRefGoogle Scholar
  67. 220.
    B.J. Frisken, D.S. Cannell, M.Y. Lin and S.K. Sinha, Phys. Rev. E 51, 5866 (1995)ADSCrossRefGoogle Scholar
  68. 221.
    A.E. Bailey, B.J. Frisken and D.S. Cannell, Phys. Rev. E 56, 3112 (1997)ADSCrossRefGoogle Scholar
  69. 222.
    The Monte Carlo Method in Condensed Matter Physics,ed. by K. Binder, Springer Topics in Applied Physics 71 (Springer-Verlag, Berlin 1992)Google Scholar
  70. 223.
    S. Puri, in Models and Techniques of Statistical Physics, ed. by S.M. Bhattacharjee ( Narosa, New Delhi 1997 ), p. 126Google Scholar
  71. 224.
    G.S. Crest and D.J. Srolovitz, Phys. Rev. B 32, 3014 (1985)ADSCrossRefGoogle Scholar
  72. 225.
    D.J. Srolovitz and G.S. Grest, Phys. Rev. B 32, 3021 (1985)ADSCrossRefGoogle Scholar
  73. 226.
    D. Chowdhury, M. Grant and J.D. Gunton, Phys. Rev. B 35, 6792 (1987)ADSCrossRefGoogle Scholar
  74. 227.
    D. Chowdhury and S. Kumar, J. Stat. Phys. 49, 855 (1987)ADSCrossRefGoogle Scholar
  75. 228.
    J.H. Oh and D.-I. Choi, Phys. Rev. B 33, 3448 (1986)ADSCrossRefGoogle Scholar
  76. 229.
    A.J. Bray and K. Humayun, J. Phys. A 24, L1185 (1991)ADSCrossRefGoogle Scholar
  77. 230.
    U.M.B. Marconi, Phys. Rev. E 57, 1290 (1998)ADSCrossRefGoogle Scholar
  78. 231.
    S. Jain, Phys. Rev. E 59, R2493 (1999); Phys. Rev. E 60, R2445 (1999)Google Scholar
  79. 232.
    B. Derrida, A.J. Bray and C. Godreche, J. Phys. A 27, L357 (1994)MathSciNetADSzbMATHCrossRefGoogle Scholar
  80. 233.
    A.J. Bray, B. Derrida and C. Godreche, Europhys. Lett. 27, 177 (1994)MathSciNetADSCrossRefGoogle Scholar
  81. 234.
    B. Biswal, S. Puri and D. Chowdhury, Physica A 229, 72 (1996)ADSCrossRefGoogle Scholar
  82. 235.
    H. Hayakawa, J. Phys. Soc. Jpn. 60, 2492 (1991)CrossRefGoogle Scholar
  83. 236.
    T. Iwai and H. Hayakawa, J. Phys. Soc. J.n. 62, 1583 (1993); J. Phys. Soc. Jpn. 62, 2971 (1993)ADSCrossRefGoogle Scholar
  84. 237.
    E.T. Gawlinski, K. Kaski, M. Grant and J.D. Gunton, Phys. Rev. Lett. 53, 2266 (1984)ADSCrossRefGoogle Scholar
  85. 238.
    E.T. Gawlinski, S. Kumar, M. Grant, J.D. Gunton and K. Kaski, Phys. Rev. B 32, 1575 (1985)ADSCrossRefGoogle Scholar
  86. 239.
    E. Pytte and J.F. Fernandez, Phys. Rev. B 31, 616 (1985)ADSCrossRefGoogle Scholar
  87. 240.
    S.R. Anderson, Phys. Rev. B 36, 8435 (1987)ADSCrossRefGoogle Scholar
  88. 241.
    K. Binder, Z. Phys. B 50, 343 (1983)ADSCrossRefGoogle Scholar
  89. 242.
    G. Grinstein and S.-K. Ma, Phys. Rev. Lett. 49, 685 (1982)ADSCrossRefGoogle Scholar
  90. 243.
    E. Oguz, A. Chakrabarti, R. Toral and J.D. Gunton, Phys. Rev. B 42, 704 (1990)ADSCrossRefGoogle Scholar
  91. 244.
    S. Puri and N. Parekh, J. Phys. A 26, 2777 (1993)ADSCrossRefGoogle Scholar
  92. 245.
    M. Rao and A. Chakrabarti, Phys. Rev. Lett. 71, 3501 (1993)ADSCrossRefGoogle Scholar
  93. 246.
    E. Oguz, J. Phys. A 27, 2985 (1994)ADSCrossRefGoogle Scholar
  94. 247.
    M. Rao and A. Chakrabarti, Phys. Rev. E 48, R25 (1993)ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Sushanta Dattagupta
    • 1
  • Sanjay Puri
    • 2
  1. 1.S.N. Bose National Centre for Basic SciencesSalt Lake KolkataIndia
  2. 2.School of Physical SciencesJawaharlal Nehru UniversityNew DelhiIndia

Personalised recommendations