Self-assembled patterns and strain-induced instabilities for modulated systems

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

Volumn 72, Issue 2, 2005, Pages

  Asciutto, Eliana ^a   Roland, Christopher ^a   Sagui, Celeste ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GLASSY STATES; MODULATED SYSTEMS; SELF-ASSEMBLED PATTERNS;

GLASS; MODULATION; NANOSTRUCTURED MATERIALS; STRAIN; TOPOLOGY;

SELF ASSEMBLY;

EID: 27344454648     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.021504     Document Type: Article

References (82)

1. See, for example, J. D. Gunton, M. San Miguel, and P. Sahni, in Kinetics of First Order Phase Transitions, Phase Transitions and Critical Phenomena, Vol. 8, edited by, C. Domb, and, J. Leibowitz, (Academic Press, London, 1983).
2. M. Seul and D. Andelman, Science SCIEAS 0036-8075 267, 476 (1995).
3. C. Bowman and A. C. Newell, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.70.289 70, 289 (1998).
4. C. Kooy and U. Enz, Philips Res. Rep. PRREA9 0031-7918 15, 729 (1960).
5. A. A. Thiele, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1658846 41, 1139 (1970).
6. W. F. Druyvesteyn and J. W. Dorleijn, Philips Res. Rep. PRREA9 0031-7918 26, 11 (1971).
7. J. A. Cape and G. W. Lehman, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1660007 42, 5732 (1971).
8. J. A. Cape, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1661754 43, 3551 (1972).
9. T. Garel and S. Doniach, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.26.325 26, 325 (1982).
10. P. Molho, J. Gouzerh, J. C. S. Levy, and J. L. Porteseil, J. Magn. Magn. Mater. JMMMDC 0304-8853 54-57, 857 (1986).
11. P. Molho, J. L. Porteseil, Y. Souche, J. Gouzerh, and J. C. S. Levy, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.338473 61, 4188 (1987).
12. D. Sornette, J. Phys. (Paris) JOPQAG 0302-0738 48, 151 (1987).
13. D. Sornette, J. Phys. (Paris) JOPQAG 0302-0738 48, 1413 (1987).
14. M. Seul, L. R. Monar, L. O'Gorman, and R. Wolfe, Science SCIEAS 0036-8075 254, 1616 (1991).
15. M. Seul and R. Wolfe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46. 7519 46, 7519 (1992).
16. M. Seul and R. Wolfe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46. 7534 46, 7534 (1992).
17. Y. Yafet and E. M. Gyorgy, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.38.9145 38, 9145 (1988).
18. A. O. Tsebers and M. M. Maiorov, Magnetohydrodynamics (N.Y.) MGHDAG 0024-998X 16, 21 (1980).
19. A. O. Tsebers, Magnetohydrodynamics (N.Y.) MGHDAG 0024-998X 17, 113 (1981).
20. R. E. Rosensweig, M. Zahn, and R. Shumovich, J. Magn. Magn. Mater. JMMMDC 0304-8853 10.1016/0304-8853(83)90416-X 39, 127 (1983).
21. T. Mitsui and J. Furuichi, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.90.193 90, 193 (1953).
22. B. S. Kwak, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.3733 68, 3733 (1992).
23. R. M. Weis and H. M. McConnell, Nature (London) NATUAS 0028-0836 10.1038/310047a0 310, 47 (1984).
24. R. M. Weis and H. M. McConnell, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j100267a011 89, 4453 (1985).
25. M. Lösche and H. Möhwald, Eur. Biophys. J. EBJOE8 0175-7571 11, 35 (1984).
26. D. Andelman, F. Brochard, and J.-F. Joanny, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.451970 86, 3673 (1987).
27. H. Möhwald, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 10.1146/annurev.physchem.41.1.441 41, 441 (1990).
28. H. M. McConnell, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 10.1146/annurev.physchem.42.1.171 42, 171 (1991).
29. S. O. Kim, Nature (London) NATUAS 0028-0836 10.1038/nature01775 424, 411 (2003).
30. W. A. Lopes and H. M. Jaeger, Nature (London) NATUAS 0028-0836 10.1038/414735a 414, 735 (2001).
31. J. V. Selinger, Z. G. Wang, R. F. Bruinsma, and C. M. Knobler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1139 70, 1139 (1993).
32. F. J. Bartoli, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.5990 58, 5990 (1998).
33. J. V. Selinger, J. Xu, R. L. B. Selinger, B. R. Ratna, and R. Shashidhar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.666 62, 666 (2000).
34. S. Zhang, E. M. Terentjev, and A. M. Donald, Eur. Phys. J. E EPJSFH 1292-8941 11, 367 (2003).
35. C. A. Murray and D. H. Van Winkle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.1200 58, 1200 (1987).
36. C. A. Murray and R. A. Wenk, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.1643 62, 1643 (1989).
37. C. A. Murray, W. O. Sprenger, and R. A. Wenk, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.42.688 42, 688 (1990).
38. S. Leibler and D. Andelman, J. Phys. (France) JOPQAG 0302-0738 48, 2013 (1987).
39. T. Baumgart, S. T. Hess, and W. W. Webb, Nature (London) NATUAS 0028-0836 10.1038/nature02013 425, 821 (2003).
40. M. Rappolt, Biophys. J. BIOJAU 0006-3495 84, 3111 (2003).
41. S. J. Marrink, A. H. de Vries, and A. E. Mark, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp036508g 108, 750 (2004).
42. S. Rozovsky, Y. Kaizuka, and J. T. Groves, J. Am. Chem. Soc. JACSAT 0002-7863 127, 36 (2005).
43. F. Haenssler and L. Rinderer, Helv. Phys. Acta HPACAK 0018-0238 40, 659 (1967).
44. R. P. Huebener, Magnetic Flux Structures in Superconductors (Springer-Verlag, Berlin, 1979).
45. S. Mori, C. H. Chen, and S.-W. Cheong, Nature (London) NATUAS 0028-0836 10.1038/33105 392, 473 (1998).
46. Q. Ouyang and H. L. Swinney, Nature (London) NATUAS 0028-0836 10.1038/352610a0 352, 610 (1991).
47. K. R. Elder, J. Viñals, and M. Grant, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.3024 68, 3024 (1992).
48. K. R. Elder, J. Viñals, and M. Grant, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.7618 46, 7618 (1992).
49. M. C. Cross and D. I. Meiron, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.2152 75, 2152 (1995).
50. A. Plass, J. A. Last, N. C. Bartelt, and G. L. Kellog, Nature (London) NATUAS 0028-0836 10.1038/35091143 412, 875 (2001).
51. K. O. Ng and D. Vanderbilt, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.2177 52, 2177 (1995).
52. J. R. Thomsen, W. Cowan, M. J. Zuckermann, and M. Grant, in Proceedings of the XVIII Winter Meeting On Statistical Physics Ozxatepo Mexico, 1989, edited by, A. E. Gonzalez, C. Varea, and, M. Medina-Noyola, (World Scientific, Singapore, 1989).
53. N. Sulitanu and F. Brinza, Mater. Sci. Eng., B MSBTEK 0921-5107 106, 155 (2004).
54. Y. Lu, Nature (London) NATUAS 0028-0836 10.1038/35073544 410, 913 (2001).
55. M. Park Science SCIEAS 0036-8075 10.1126/science.276.5317.1401 276, 1401 (1997).
56. C. Park, J. Yoon, and E. L. Thomas, Polymer POLMAG 0032-3861 10.1016/j.polymer.2003.08.011 44, 6725 (2003).
57. C. Roland and R. C. Desai, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.42.6658 42, 6658 (1990).
58. C. Sagui and R. C. Desai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.3995 71, 3995 (1993).
59. C. Sagui and R. C. Desai, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.49.2225 49, 2225 (1994).
60. C. Sagui and R. C. Desai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.1119 74, 1119 (1995).
61. C. Sagui and R. C. Desai, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.2807 52, 2807 (1995).
62. C. Sagui and R. C. Desai, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.2822 52, 2822 (1995).
63. C. Sagui, E. Asciutto, and C. Roland, Nano Lett. NALEFD 1530-6984 5, 389 (2005).
64. A. D. Stoycheva and S. J. Singer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.016118 64, 016118 (2001).
65. A. D. Stoycheva and S. J. Singer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.036706 65, 036706 (2002).
66. S. A. Brazovskii, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 68, 175 (1975)
67. S. A. Brazovskii, Sov. Phys. JETP SPHJAR 0038-5646 41, 85 (1975).
68. W. A. Barker and G. A. Gehring, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/16/33/014 16, 6415 (1983).
69. J. M. Kosterlitz and D. J. Thouless, J. Phys. C JPSOAW 0022-3719 6, 1181 (1973).
70. D. R. Nelson and J. Toner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.24.363 24, 363 (1981).
71. D. R. Nelson and R. A. Pelcovits, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.16.2191 16, 2191 (1977).
72. B. I. Halperin and D. R. Nelson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.41.121 41, 121 (1978).
73. D. R. Nelson and B. I. Halperin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.19.2457 19, 2457 (1979).
74. D. R. Nelson and B. I. Halperin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.21.5312 21, 5312 (1980).
75. A. P. Young, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.19.1855 19, 1855 (1979).
76. J. Toner and D. R. Nelson, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.23.316 23, 316 (1981).
77. R. Seshadri and R. M. Westervelt, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.46.5142 46, 5142 (1992).
78. R. Seshadri and R. M. Westervelt, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.46.5150 46, 5150 (1992).
79. See, for example, M. Klemen, Points, Lines and Walls (Wiley, New York, 1983).
80. S. Chandrasekhar, Liquid Crystals (Cambridge University Press, Cambridge, England, 1992), Chap..
81. N. A. Clark and R. B. Meyer, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1654481 22, 493 (1973).
82. R. Ribotta and G. Durand, J. Phys. (Paris) JOPQAG 0302-0738 38, 179 (1977).