Ordering dynamics in disordered systems

Phase Transitions

Volumn 77, Issue 5-7, 2004, Pages 469-495

  Puri, Sanjay ^a  

^a JAWAHARLAL NEHRU UNIVERSITY   (India)

Author keywords

Disordered systems; Domain growth; Growth laws; Phase ordering dynamics

Indexed keywords

ANISOTROPY; KINETIC THEORY; MICROEMULSIONS; PHASE SEPARATION; PHASE TRANSITIONS; QUENCHING; STRAIN; SURFACE ACTIVE AGENTS;

DISORDERED SYSTEMS; DOMAIN GROWTH; GROWTH LAWS; PHASE ORDERING DYNAMICS;

ORDER DISORDER TRANSITIONS;

EID: 11144289675     PISSN: 01411594     EISSN: None     Source Type: Journal    
DOI: 10.1080/01411590410001672611     Document Type: Review

References (75)

1. Binder, K. (Ed.) (1992). Springer topics in applied physics. The Monte Carlo Method in Condensed Matter Physics, Vol. 71. Springer-Verlag, Berlin.
2. Andelman, D. and Joanny, J.-F. (1985). Metastability in the random-field Ising model. Phys. Rev. B, 32, 4818.
3. Anderson, S.R. (1987). Growth and equilibration in the two-dimensional random-field Ising model. Phys. Rev. B, 36, 8435.
4. Binder, K. (1983). Random-field induced interface widths in Ising systems. Z. Phys. B, 50, 343.
5. Binder, K. and Fratzl, P. (2001). Spinodal decomposition. In: Kostorz, G. (Ed.), Materials Science and Technology, Vol. 5, p. 409. Wiley-VCH, Weinheim.
6. Binder, K. and Heermann, D.W. (2002). Monte Carlo Simulation in Statistical Physics: An Introduction, 4th Edn. Springer-Verlag, Berlin.
7. Binder, K. and Young, A.P. (1986). Spin glasses: experimental facts, theoretical concepts, and open questions. Rev. Mod. Phys., 58, 801.
8. Biswal, B., Puri, S. and Chowdhury, D. (1996). Domain growth in weakly disordered random magnets. Physica A, 229, 72.
9. Blundell, R.E., Bray, A.J. and Sattler, S. (1993). Absolute test for theories of phase ordering dynamics. Phys. Rev. E, 48, 2476.
10. Bray, A.J. (1994). Theory of phase ordering kinetics. Adv. Phys., 43, 357.
11. Bray, A.J. and Humayun, K. (1991). Universality class for domain growth in random magnets. J. Phys. A, 24, L1185.
12. Bricmont, J. and Kupiainen, A. (1987). Lower critical dimension for the random-field Ising model. Phys. Rev. Lett., 59, 1829.
13. Bruinsma, R. and Aeppli, G. (1984). Interface motion and nonequilibrium properties of the random-field Ising model. Phys. Rev. Lett., 52, 1547.
14. Chowdhury, D., Grant, M. and Gunton, J.D. (1987). Interface roughening and domain growth in the dilute Ising model. Phys. Rev. B, 35, 6792.
15. Chowdhury, D. and Biswal, B. (1992). Novel domain growth law in random magnets. Physica A, 180, 253.
16. Chowdhury, D. and Kumar, S. (1987). J. Stat. Phys., 49, 855.
17. Coniglio, A. (1981). Thermal phase transition of the dilute s-state potts and n-vector models at the percolation threshold. Phys. Rev. Lett., 46, 250.
18. Dattagupta, S. and Puri, S. (2004). Dissipative Phenomena in Condensed Matter: Some Applications, Springer Series in Materials Science, 71, Springer-Verlag, Heidelberg.
19. Fisher, D.S. and Huse, D.A. (1988). Nonequilibrium dynamics of spin glasses. Phys. Rev. B, 38, 373; Equilibrium behavior of the spin-glass ordered phase. Phys. Rev. B, 38, 386.
20. Fisher, D.S. and Huse, D.A. (1988). Nonequilibrium dynamics of spin glasses. Phys. Rev. B, 38, 373; Equilibrium behavior of the spin-glass ordered phase. Phys. Rev. B, 38, 386.
21. Forster, D., Nelson, D.R. and Stephen, M.J. (1981). Large-distance and long-time properties of a randomly stirred fluid. Phys. Rev. A, 16, 732.
22. Gawlinski, E.T., Kaski, K., Grant, M. and Gunton, J.D. (1984). Domain growth in the Ising model in a random magnetic field. Phys. Rev. Lett., 53, 2266.
23. Gawlinski, E.T., Kumar, S., Grant, M., Gunton, J.D. and Kaski, K. (1985). Breakdown of self-similar scaling in the two-dimensional random-field Ising model: a Monte Carlo study. Phys. Rev. B, 32, 1575.
24. Grant, M. and Gunton, J.D. (1984). Domain growth in the random-field Ising model: the breakdown of self-similar scaling in two dimensions. Phys. Rev. B, 29, 6266.
25. Grant, M. and Gunton, J.D. (1987). Heidelberg. Metastable states in the random-field Ising model. Phys. Rev. B, 35, 4922.
26. Grest, G.S. and Srolovitz, D.J. (1985). Impurity effects on domain-growth kinetics. I. Ising model. Phys. Rev. B, 32, 3014.
27. Grinstein, G. and Fernandez, J.F. (1984). Equilibration of random-field Ising systems. Phys. Rev. B, 29, 6389.
28. Grinstein, G. and Luther, A. (1976). Application of the renormalization group to phase transitions in disordered systems. Phys. Rev. B, 13, 1329.
29. Grinstein, G. and Ma, S.-K. (1982). Roughening and lower critical dimension in the random-field Ising model. Phys. Rev. Lett., 49, 685.
30. Gyure, M.F., Harrington, S.T., Strilka, R. and Stanley, H.E. (1995). Scaling in late stage spinodal decomposition with quenched disorder. Phys. Rev. E, 52, 4632.
31. Harris, A.B. (1974). Effect of random defects on the critical behaviour of Ising models. J. Phys. C, 7, 1671.
32. Harris, A.B. and Lubensky, T.C. (1974). Renormalization-group approach to the critical behavior of random-spin models. Phys. Rev. Lett., 33, 1540.
33. Hayakawa, H. (1991). A cell-dynamics approach to the ordering in a system with quenched random impurities. J. Phys. Soc. Jpn., 60, 2492.
34. Henley, C.L. (1985). Critical Ising spin dynamics on percolation clusters. Phys. Rev. Lett., 54, 2030.
35. Hohenberg, P.C. and Halperin, B.I. (1977). Theory of dynamic critical phenomena. Rev. Mod. Phys., 49, 435.
36. Huse, D.A. (1986). Corrections to late-stage behavior in spinodal decomposition: Lifshitz-Slyozov scaling and Monte Carlo simulations. Phys. Rev. B, 34, 7845.
37. Huse, D.A., Henley, C.L. and Fisher, D.S. (1985). Huse, Henley, and Fisher respond. Phys. Rev. Lett., 55, 2924.
38. Huse, D.A. and Henley, C.L. (1985). Pinning and roughening of domain walls in Ising systems due to random impurities. Phys. Rev. Lett., 54, 2708.
39. Ikeda, H., Endoh, Y. and Itoh, S. (1990). Ordering kinetics in a two-dimensional percolation magnet. Phys. Rev. Lett., 64, 1266.
40. Imbrie, J.Z. (1984). Lower critical dimension of the random-field Ising model. Phys. Rev. Lett., 53, 1747.
41. Iwai, T. and Hayakawa, H. (1993). Simulation of domain growth in a system with random impurities. J. Phys. Soc, Jpn., 62, 1583; (1993). Addendum to simulation of domain growth in a system with random impurities. J. Phys. Soc. Jpn., 62, 2971.
42. Iwai, T. and Hayakawa, H. (1993). Simulation of domain growth in a system with random impurities. J. Phys. Soc, Jpn., 62, 1583; (1993). Addendum to simulation of domain growth in a system with random impurities. J. Phys. Soc. Jpn., 62, 2971.
43. Kawasaki, K. (1972). Kinetics of Ising models. In: Domb, C. and Green, M.S. (Eds.), Phase Transitions and Critical Phenomena, Vol. 2, p. 443. Academic Press, London.
44. Lai, Z.W., Mazenko, G.F. and Vails, O.T. (1988). Classes for growth kinetics problems at low temperatures. Phys. Rev. B, 37, 9481.
45. Landau, L.D. and Lifshitz, E.M. (1980), Statistical Physics. Pergamon Press, Oxford.
46. Likodimos, V., Labardi, M., Orlik, X.K., Pardi, L., Allegrini, M., Emonin, S. and Marti, O. (2001). Thermally activated ferroelectric domain growth due to random defects. Phys. Rev. B, 63, 064104.
47. Likodimos, V., Labardi, M. and Allegrini, M. (2000). Kinetics of ferroelectric domains investigated by scanning force microscopy. Phys. Rev. B, 61, 14440.
48. Ma, S.-K. (1981). Modern Theory of Critical Phenomena. Addison-Wesley, Reading, Massachusetts.
49. Marconi, U.M.B. (1998). Interface pinning and slow ordering kinetics on infinitely ramified fractal structures. Phys. Rev. E, 57, 1290.
50. Nattermann, T. (1997). Theory of the random field Ising model. In: Young, A.P. (Ed.), Spin Glasses and Random Fields. World Scientific, Singapore.
51. Oguz, E. (1994). Domain growth in the three-dimensional random-field Ising model. Phys. Rev. A, 27, 2985.
52. Oguz, E., Chakrabarti, A., Toral, R. and Gunton, J.D. (1990). Domain growth in the two-dimensional time-dependent Ginzburg-Landau model in the presence of a random magnetic field. Phys. Rev. B, 42, 704.
53. Oh, J.H. and Choi, D.-I. (1986). Monte Carlo study of the domain kinetics of the Ising model with random coupling constants. Phys. Rev. B, 33, 3448.
54. Onuki, A. (2002). Phase Transition Dynamics. Cambridge University Press, Cambridge.
55. Oono, Y. and Puri, S. (1987). Computationally efficient modeling of ordering of quenched phases. Phys. Rev. Lett., 58, 836.
56. Oono, Y. and Puri, S. (1988). Study of phase-separation dynamics by use of cell dynamical systems. I. modeling. Phys. Rev. A, 38, 434.
57. Parisi, G. (1979). Infinite number of order parameters for spin-glasses. Phys. Rev. Lett., 43, 1754; (1980). A sequence of approximated solutions to the SK model for spin glasses. J. Phys. A, 13, L115.
58. Parisi, G. (1979). Infinite number of order parameters for spin-glasses. Phys. Rev. Lett., 43, 1754; (1980). A sequence of approximated solutions to the SK model for spin glasses. J. Phys. A, 13, L115.
59. Paul, R., Rieger, H. and Puri, S. (to be published).
60. Puri, S., Chowdhury, D. and Parekh, N. (1991). Nonalgebraic domain growth in random magnets: a cell dynamical approach. J. Phys. A, 24, L1087.
61. Puri, S. and Oono, Y. (1988). Study of phase-separation dynamics by use of cell dynamical systems. II. Two-dimensional results. Phys. Rev. A, 38, 1542.
62. Puri, S. and Parekh, N. (1992). Nonalgebraic domain growth in binary alloys with quenched disorder. J. Phys. A, 25, 4127.
63. Puri, S. and Parekh, N. (1993). Non-algebraic domain growth for phase ordering dynamics in a random field. Phys. Rev. A, 26, 2777.
64. Pytte, E. and Fernandez, J.F. (1985). Monte carlo study of the equilibration of the random-field Ising model. Phys. Rev. B, 31, 616.
65. Rammal, R. and Benoit, A. (1985). Critical Ising spin dynamics near the percolation threshold. Phys. Rev. Lett., 55, 649.
66. Rao, M. and Chakrabarti, A. (1993). Conserved dynamics of a two-dimensional random-field model. Phys. Rev. E, 48, R25.
67. Rao, M. and Chakrabarti, A. (1993). Kinetics of domain growth in a random-field model in three dimensions. Phys. Rev. Lett., 71, 3501.
68. Sherrington, D. and Kirkpatrick, S. (1975). Solvable model of a spin-glass. Phys. Rev. Lett., 35, 1792.
69. Srolovitz, D.J. and Grest, G.S. (1985). Impurity effects on domain-growth kinetics. II. Potts model. Phys. Rev. B, 32, 3021.
70. Stanley, H.E. (1971). Phase Transitions and Critical Phenomena. Oxford University Press, Oxford.
71. Stauffer, D. (1979). Scaling theory of percolation clusters. Phys. Rep., 54, 1.
72. Stauffer, D, (1985). Introduction to Percolation Theory. Taylor and Francis, London.
73. Stinchcombe, R.B. (1983). Dilute magnetism. In: Domb, C. and Lebowitz, J.L. (Eds.), Phase Transitions and Critical Phenomena, Vol. 7, p. 151. Academic Press, London.
74. Villain, J. (1982). Commensurate-incommensurate transition with frozen impurities. J. Phys. (Paris) Lett., 43, L551.
75. Villain, J. (1984). Nonequilibrium "critical" exponents in the random-field Ising model. Phys. Rev. Lett., 52, 1543.