Evolution of speckle during spinodal decomposition

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 5, 1999, Pages 5151-5162

  Brown, Gregory ^a,b   Rikvold, Per Arne ^a   Sutton, Mark ^b   Grant, Martin ^b  

^a Florida State University   (United States)

^b MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0000310320     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.5151     Document Type: Article

References (48)

1. J. Feder, Fractals (Plenum Press, New York, 1988).
2. B. Chu, Laser Light Scattering (Academic Press, New York, 1974).
3. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995).
4. S. B. Dierker, R. Pindak, R. M. Fleming, I. K. Robinson, and L. Berman, Phys. Rev. Lett. 75, 449 (1995).
5. B. Chu, Q.-C. Ying, F.-J. Yeh, A. Patkowski, W. Steffen, and E. W. Fischer, Langmuir 11, 1419 (1995).
6. S. Brauer, G. B. Stephenson, M. Sutton, R. Brüning, E. Dufresne, S. G. J. Mochrie, G. Grübel, J. Als-Nielsen, and D. L. Abernathy, Phys. Rev. Lett. 74, 2010 (1995).
7. S. G. J. Mochrie, A. M. Mayes, A. R. Sandy, M. Sutton, S. Brauer, G. B. Stephenson, D. L. Abernathy, and G. Grübel, Phys. Rev. Lett. 78, 1275 (1997).
8. A. Malik, A. R. Sandy, L. B. Lurio, G. B. Stephenson, S. G. J. Mochrie, I. McNulty, and M. Sutton, Phys. Rev. Lett. 81, 5832 (1998).
9. G. Brown, P. A. Rikvold, and M. Grant, Physica A 239, 363 (1997).
10. G. Brown, P. A. Rikvold, M. Sutton, and M. Grant, Phys. Rev. E 56, 6601 (1997).
11. A comprehensive review is given by J. D. Gunton, M. San Miguel, and P. S. Sahni, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, London, 1983), Vol. 8. Ideas of scaling in domain growth follow similar ideas in critical
12. P. C. Hohenberg and B. I. Halperin, Rev. Mod. Phys. 49, 435 (1977). A recent specialized review is given
13. A. J. Bray, Adv. Phys. 43, 357 (1994).
14. M. Tomozawa, in Encyclopedia of Materials Science and Engineering, edited by M. B. Bever (Pergamon Press, Oxford, 1986), p. 3493.
15. A. Stuart and J. K. Ord, Kendall’s Advanced Theory of Statistics, 5th ed. (Griffin, London, 1987), Vol. 1.
16. T. Ohta, D. Jasnow, and K. Kawasaki, Phys. Rev. Lett. 49, 1223 (1982).
17. C. Yeung, Phys. Rev. Lett. 61, 1135 (1988).
18. C. Yeung and D. Jasnow, Phys. Rev. B 42, 10 523 (1990).
19. G. Porod, in Small Angle X-ray Scattering, edited by O. Glatter and L. Kratky (Academic, New York, 1983)
20. A. Guinier and G. Fournet, Small-Angle Scattering of X-rays (Wiley, New York, 1955).
21. P. Debye, H. R. Anderson, and H. Brumberger, J. Appl. Phys. 28, 679 (1957).
22. H. Tomita, Prog. Theor. Phys. 72, 656 (1984)
23. Prog. Theor. Phys.H. Tomita75, 482 (1986).
24. H. Tomita, in Formation Dynamics and Statistics of Patterns, edited by K. Kawasaki, M. Suzuki, and A. Onuki (World Scientific, Singapore, 1990).
25. A. Erdélyi, Asymptotic Expansions (Dover, New York, 1956).
26. P. A. Rikvold and G. Brown (unpublished).
27. G. Korniss (private communication).
28. R. Wong, Asymptotic Approximations of Integrals (Academic, Boston, 1989), Chap. IV.
29. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products (Academic, New York, 1980), p. 721 [6.645.2].
30. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun, Natl. Bur. Stand. (U.S. GPO, Washington, DC, 1970), p. 444.
31. J. W. Cahn and H. E. Hilliard, J. Chem. Phys. 28, 258 (1958).
32. H. E. Cook, Acta Metall. 18, 297 (1970).
33. M. Grant, M. San Miguel, J. Viñals, and J. D. Gunton, Phys. Rev. B 31, 3027 (1985).
34. Explicitly: (Formula presented) (Formula presented) and (Formula presented)
35. Y. Oono and S. Puri, Phys. Rev. Lett. 58, 836 (1987).
36. H. Tomita, Prog. Theor. Phys. 85, 47 (1991).
37. The maximum dimensionless wave number allowed by the discretization of the continuum equations is (Formula presented)
38. A. Shinozaki and Y. Oono, Phys. Rev. E 48, 2622 (1993).
39. T. Ohta, Ann. Phys. (N.Y.) 158, 31 (1984).
40. G. Brown, P. A. Rikvold, and M. Grant, Phys. Rev. E 58, 5501 (1998).
41. The result for the amplitude in Porod’s law 18 was regrettably rendered incorrectly after Eq. (9) in Ref. 36. Using the notation of that paper, the result should be (Formula presented) consistent with the expressions in Eq. (24) of the present paper and Eq. (5.9) of Ref. 10.
42. T. Ohta and H. Nozaki, in Space-Time Organization in Macromolecular Fluids, Vol. 51 of Springer Series in Chemical Physics, edited by F. Tanaka, M. Doi, and T. Ohta (Springer, Berlin, 1989).
43. H. Tomita, Prog. Theor. Phys. 90, 521 (1993).
44. C. Yeung, Y. Oono, and A. Shinozaki, Phys. Rev. E 49, 2693 (1994).
45. D. S. Fisher and D. A. Huse, Phys. Rev. B 38, 373 (1988).
46. C. Yeung, M. Rao, and R. Desai, Phys. Rev. E 53, 3073 (1996).
47. B. P. Lee and A. D. Rutenberg, Phys. Rev. Lett. 79, 4842 (1997).
48. F. Livet, F. Bley, R. Caudron, D. Abernathy, C. Detlefs, G. Grübel, and M. Sutton (unpublished).