Domain growth morphology in curvature-driven two-dimensional coarsening

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 6, 2007, Pages

  Sicilia, Alberto ^a   Arenzon, Jeferson J ^b   Bray, Alan J ^c   Cugliandolo, Leticia F ^a  

^a SORBONNE UNIVERSITÉ   (France)

^b FEDERAL UNIVERSITY OF RIO GRANDE DO SUL   (Brazil)

^c UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DOMAIN WALLS; GRAIN BOUNDARIES; GRAIN GROWTH; HULLS (SEED COVERINGS); MORPHOLOGY; TWO DIMENSIONAL;

DOMAIN BOUNDARIES; GEOMETRIC PROPERTIES; NUMBER DENSITY; SCALING FUNCTION;

COARSENING;

EID: 37249015599     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.061116     Document Type: Article

References (45)

1. See A. J. Bray, Adv. Phys. ADPHAH 0001-8732 10.1080/00018739400101505 43, 357 (1994), and references therein, for a review of coarsening phenomena.
2. B. Derrida, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.55.3705 55, 3705 (1997).
3. J. A. Glazier, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70. 2170 70, 2170 (1993).
4. R. D. MacPherson and D. J. Srolovitz, Nature (London) NATUAS 0028-0836 10.1038/nature05745 446, 1053 (2007).
5. J. J. Arenzon, A. J. Bray, L. F. Cugliandolo, and A. Sicilia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.145701 98, 145701 (2007).
6. J. Cardy and R. M. Ziff, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1021069209656 110, 1 (2003).
7. D. Stauffer and A. Aharony, Introduction to Percolation Theory, 2nd ed. (Taylor & Francis, London, 1994).
8. A. L. Stella and C. Vanderzande, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.1067 62, 1067 (1989).
9. W. Janke and A. M. J. Schakel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.036703 71, 036703 (2005).
10. C. Vanderzande and A. L. Stella, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/22/10/005 22, L445 (1989).
11. H. Saleur and B. Duplantier, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.2325 58, 2325 (1987).
12. R. M. Ziff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.545 56, 545 (1986).
13. A. L. Stella and C. Vanderzande, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.63.2537 63, 2537 (1989).
14. B. Duplantier and H. Saleur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.63.2536 63, 2536 (1989).
15. T. Grossman and A. Aharony, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/19/12/009 19, L745 (1986).
16. R. F. Voss, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/17/7/001 17, L373 (1984).
17. P. Grassberger, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/19/13/032 19, 2675 (1986).
18. J. L. Cambier and M. Nauenberg, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.34.8071 34, 8071 (1986).
19. S. M. Allen and J. W. Cahn, Acta Metall. AMETAR 0001-6160 10.1016/0001-6160(79)90196-2 27, 1085 (1979).
20. J. Hoshen and R. Kopelman, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.14.3438 14, 3438 (1976).
21. See, e.g., A. Weinrib, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.26. 1352 26, 1352 (1982).
22. J. Kalda, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.020101 64, 020101 (R) (2001), and references therein.
23. A. D. Rutenberg, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.R2181 54, R2181 (1996) has shown that lattice anisotropy also induces a very small anisotropy in the coarsening structure.
24. A. J. Bray, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.2841 62, 2841 (1989);
25. A. J. Bray, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.41.6724 41, 6724 (1990);
26. K. Humayun and A. J. Bray, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/24/8/030 24, 1915 (1991).
27. K. Kaski, M. C. Yalabik, J. D. Gunton, and P. S. Sahni, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.28.5263 28, 5263 (1983).
28. M. Grant and J. D. Gunton, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.28.5496 28, 5496 (1983);
29. M.-D. Lacasse, M. Grant, and J. Viñals, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.3661 48, 3661 (1993).
30. K.-t. Leung, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/26/23/018 26, 6691 (1993), and references therein.
31. H. Hinrichsen and M. Antoni, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.2650 57, 2650 (1998).
32. H. B. Tarko and M. E. Fisher, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.11.1217 11, 1217 (1975).
33. G. S. Grest and D. J. Srolovitz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.30.5150 30, 5150 (1984).
34. M. Fialkowski and R. Holyst, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.046121 66, 046121 (2002).
35. A. E. Jacobs and C. M. Coram, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.36.3844 36, 3844 (1987).
36. A. Coniglio, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/13/41/301 13, 9039 (2001).
37. N. Sator, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00583-5 376, 1 (2003).
38. A. Sicilia, J. J. Arenzon, A. J. Bray, and L. F. Cugliandolo (unpublished).
39. C. Chamon and L. F. Cugliandolo, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 2007, P07022.
40. S. I. Denisov and P. Hänggi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.046137 71, 046137 (2005).
41. J. G. Amar and F. Family, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.41.3258 41, 3258 (1990);
42. A. J. Bray, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/23/2/005 23, L67 (1990).
43. B. Derrida and R. Zeitak, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.2513 54, 2513 (1996).
44. P. A. Alemany and D. ben Avraham, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(95)00625-D 206, 18 (1995).
45. P. L. Krapivsky and E. Ben-Naim, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.3788 56, 3788 (1997).