Simulated annealing study of gyroid formation in diblock copolymer solutions

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

Volumn 72, Issue 6, 2005, Pages

  Sun, Pingchuan ^a   Yin, Yuhua ^a   Li, Baohui ^a   Chen, Tiehong ^a   Jin, Qinghua ^a   Ding, Datong ^a   Shi, An Chang ^a,b  

^a NANKAI UNIVERSITY   (China)

^b MCMASTER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONCENTRATION (PROCESS); MONOMERS; SIMULATED ANNEALING; SOLUTIONS; SOLVENTS;

DIBLOCK COPOLYMER SOLUTIONS; GYROID STRUCTURE; ISOSURFACE CONTOUR PLOTS;

BLOCK COPOLYMERS;

EID: 33244491667     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.061408     Document Type: Article

References (72)

1. M. W. Matsen and M. Schick, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.2660 72, 2660 (1994).
2. Z. Tuzar and P. Kratochvil, in Surface and Colloid Science, edited by, E. Matijevic, (Plenum Press, New York, 1993), Vol. 15.
3. F. S. Bates and G. H. Fredrickson, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 10.1146/annurev.physchem.41.1.525 41, 525 (1990).
4. G. H. Fredrickson and F. S. Bates, Annu. Rev. Mater. Sci. ARMSCX 0084-6600 10.1146/annurev.matsci.26.1.501 26, 501 (1996).
5. I. W. Hamley, The Physics of Block Copolymer (Oxford University Press, New York, 1998).
6. N. Hadjichristidis, S. Pispas, and G. Floudas, Block Copolymers: Synthetic Strategies, Physical Properties, and Applications (John Wiley & Sons, New York, 2002).
7. M. W. Matsen and F. S. Bates, Macromolecules MAMOBX 0024-9297 10.1021/ma960744q 29, 7641 (1996);
8. M. W. Matsen and F. S. Bates, Macromolecules MAMOBX 0024-9297 10.1021/ma951138i 29, 1091 (1996).
9. S. T. Molner and P. D. Olmsted, J. Phys. II JPAHER 1155-4312 10.1051/jp2:1997122 7, 249 (1997).
10. R. G. H. Lammertink, M. A. Hempenius, E. Thomas, and G. J. Vancso, J. Polym. Sci., Part B: Polym. Phys. JPBPEM 0887-6266 10.1002/(SICI)1099- 0488(19990515)37:10<1009::AID-POLB6>3.0.CO;2-W 37, 1009 (1999).
11. S. Forster, A. K. Khandpur, J. Zhao, F. S. Bates, I. W. Hamley, A. J. Ryan, and W. Bras, Macromolecules MAMOBX 0024-9297 10.1021/ma00101a033 27, 6922 (1994).
12. D. A. Hajduk, P. E. Harper, S. M. Gruner, C. C. Honeker, G. Kim, E. L. Thomas, and L. J. Fetters, Macromolecules MAMOBX 0024-9297 10.1021/ma00093a006 27, 4063 (1994).
13. D. A. Hajduk, P. E. Harper, S. M. Gruner, C. C. Honeker, E. L. Thomas, and L. J. Fetters, Macromolecules MAMOBX 0024-9297 28, 2570 (1995).
14. R. J. Spontak, J. C. Fung, M. B. Braunfeld, J. W. Sedat, D. A. Agard, L. Kane, S. D. Smith, M. M. Satkowski, A. Ashraf, D. A. Hajduk, and S. M. Gruner, Macromolecules MAMOBX 0024-9297 10.1021/ma9515689 29, 4494 (1996).
15. J. H. Laurer, D. A. Hajduk, J. C. Fung, J. W. Sedat, S. D. Smith, S. M. Gruner, D. A. Agard, and R. J. Spontak, Macromolecules MAMOBX 0024-9297 10.1021/ma970449l 30, 3938 (1997).
16. M. W. Matsen, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/14/2/201 14, R21 (2002).
17. D. A. Hajduk, H. Takenouchi, M. A. Hillmyer, F. S. Bates, M. E. Vigild, and K. Almdal, Macromolecules MAMOBX 0024-9297 10.1021/ma961673y 30, 3788 (1997).
18. D. A. Hajduk, R. M. Ho, M. A. Hillmyer, F. S. Bates, and K. Almdal, J. Phys. Chem. B JPCBFK 1089-5647 10.1021/jp972871+ 102, 1356 (1998).
19. S. Sakurai, H. Umeda, C. Furukawa, H. Irie, S. Nomura, H. H. Lee, and J. K. Kim, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.475834 108, 4333 (1998).
20. I. W. Hamley, J. P. A. Fairclough, A. J. Ryan, S.-M. Mai, and C. Booth, Phys. Chem. Chem. Phys. PPCPFQ 1463-9076 10.1039/a807847e 1, 2097 (1999).
21. M. F. Schulz, F. S. Bates, K. Almdal, and K. Mortensen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.86 73, 86 (1994).
22. M. E. Vigild, K. Almdal, K. Mortensen, I. W. Hamley, J. P. A. Fairclough, and A. J. Ryan, Macromolecules MAMOBX 0024-9297 10.1021/ma9716746 31, 5702 (1998).
23. G. Floudas, R. Ulrich, and U. Wiesner, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.478122 110, 652 (1999).
24. M. Laradji, A.-C. Shi, J. Noolandi, and R. C. Desai, Macromolecules MAMOBX 0024-9297 10.1021/ma9618437 30, 3242 (1997).
25. M. W. Matsen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80. 4470 80, 4470 (1998).
26. K. Yamada, M. Nonomura, and T. Ohta, Macromolecules MAMOBX 0024-9297 10.1021/ma049687o 37, 5762 (2004).
27. S. Jain and F. S. Bates, Science SCIEAS 0036-8075 10.1126/science.1082193 300, 460 (2003).
28. S. Forster, B. Berton, H.-P. Hentze, E. Kramer, M. Antonietti, and P. Lindner, Macromolecules MAMOBX 0024-9297 10.1021/ma001923h 34, 4610 (2001).
29. Y.-Y. Won, H. T. Davis, and F. S. Bates, Science SCIEAS 0036-8075 10.1126/science.283.5404.960 283, 960 (1999).
30. L. Zhang, R. J. Barlow, and A. Eisenberg, Macromolecules MAMOBX 0024-9297 10.1021/ma00122a010 28, 6055 (1995).
31. G. Riess, Prog. Polym. Sci. PRPSB8 0079-6700 10.1016/S0079-6700(03)00015- 7 28, 1107 (2003).
32. K. Mortensen, Curr. Opin. Colloid Interface Sci. COCSFL 1359-0294 3, 12 (1998).
33. P. Alexandridis and R. J. Spontak, Curr. Opin. Colloid Interface Sci. COCSFL 1359-0294 10.1016/S1359-0294(99)00022-9 4, 130 (1999).
34. M. Svensson, P. Alexandridis, and P. Linse, Macromolecules MAMOBX 0024-9297 10.1021/ma9812940 32, 637 (1999).
35. K. J. Hanley and T. P. Lodge, J. Polym. Sci., Part B: Polym. Phys. JPBPEM 0887-6266 10.1002/(SICI)1099-0488(199812)36:17<3101::AID-POLB10>3.0.CO;2- X 36, 3101 (1998).
36. K. J. Hanley, T. P. Lodge, and C.-I. Huang, Macromolecules MAMOBX 0024-9297 10.1021/ma000318b 33, 5918 (2000).
37. C. Lai, W. B. Russel, and R. A. Register, Macromolecules MAMOBX 0024-9297 10.1021/ma011696z 35, 841 (2002).
38. T. P. Lodge, B. Pudil, and K. J. Hanley, Macromolecules MAMOBX 0024-9297 10.1021/ma0200975 35, 4707 (2002).
39. C. Y. Wang and T. P. Lodge, Macromolecules MAMOBX 0024-9297 10.1021/ma0205212 35, 6997 (2002).
40. C. Y. Wang and T. P. Lodge, Macromol. Rapid Commun. MRCOE3 1022-1336 10.1002/1521-3927(20020101)23:1<49::AID-MARC49>3.0.CO;2-X 23, 49 (2002).
41. I. W. Hamley, V. Castelletto, O. O. Mykhaylyk, Z. Yang, R. P. May, K. S. Lyakhova, G. J. A. Sevink, and A. V. Zvelindovsky, Langmuir LANGD5 0743-7463 10.1021/la0484927 20, 10785 (2004).
42. B. Yu, B. Li, P. Sun, T. Chen, Q. Jin, D. Ding, and A.-C. Shi, J. Chem. Phys. JCPSA6 0021-9606 123, 234902 (2005).
43. W. T. Gozdz and R. Hołyst, Macromol. Theory Simul. MTHSEK 1022-1344 10.1002/mats.1996.040050212 5, 321 (1996).
44. R. G. Larson, J. Phys. II JPAHER 1155-4312 10.1051/jp2:1996141 6, 1441 (1996).
45. R. D. Groot and T. J. Madden, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.476300 108, 8713 (1998);
46. R. D. Groot, T. J. Madden, and D. J. Tildesley, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.478939 110, 9739 (1999).
47. M. Nonomura and T. Ohta, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/13/41/304 13, 9089 (2001);
48. M. Nonomura and T. Ohta, Physica A PHYADX 0378-4371 10.1016/S0378- 4371(01)00518-0 304A, 77 (2002);
49. M. Imai, A. Saeki, T. Teramoto, A. Kawaguchi, K. Nakaya, T. Kato, and K. Ito, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1413743 115, 10525 (2001).
50. T. Dotera, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89. 205502 89, 205502 (2002).
51. M. Nonomura, K. Yamada, and T. Ohta, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/15/26/101 15, L423 (2003).
52. N. González-Segredo and P. V. Coveney, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.061501 69, 061501 (2004).
53. S. Kirkpatrick, C. D. Gelatt, and M. P. Vecchi, Jr., Science SCIEAS 0036-8075 220, 671 (1983);
54. S. Kirkpatrick, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01009452 34, 975 (1984).
55. G. S. Grest, C. M. Soukoulis, and K. Levin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.1148 56, 1148 (1986);
56. A. Chakrabarti and R. Toral, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39.542 39, 542 (1989).
57. R. G. Larson, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.462343 96, 7904 (1992);
58. R. G. Larson, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.457007 91, 2479 (1989).
59. A. Chakrabarti and J. D. Gunton, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47.R792 47, R792 (1993).
60. P. Sun, Y. Yin, B. Li, Q. Jin, and D. Ding, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979203017424 17, 241 (2003).
61. P. Sun, Y. Yin, B. Li, T. Chen, Q. Jin, D. Ding, and A.-C. Shi, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1924452 122, 204905 (2005).
62. Y. Yin, P. Sun, T. Chen, B. Li, Q. Jin, D. Ding, and A.-C. Shi, ChemPhysChem CPCHFT 1439-4235 10.1002/cphc.200300999 5, 540 (2004).
63. I. Carmesin and K. Kremer, Macromolecules MAMOBX 0024-9297 10.1021/ma00187a030 21, 2819 (1988).
64. J. Ding, T. J. Carver, and A. H. Windle, Comput. Theor. Polym. Sci. CTPSFJ 1089-3156 10.1016/S1089-3156(00)00025-8 11, 483 (2001).
65. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1699114 21, 1087 (1953).
66. H. Fried and K. Binder, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.460067 94, 8349 (1991).
67. U. Micka and K. Binder, Macromol. Theory Simul. MTHSEK 1022-1344 10.1002/mats.1995.040040303 4, 419 (1995);
68. Y. Bohbot-Raviv and Z.-G. Wang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.3428 85, 3428 (2000).
69. A. K. Khandpur, S. Forster, F. S. Bates, I. W. Hamley, A. J. Ryan, W. Bras, K. Almdal, and K. Mortensen, Macromolecules MAMOBX 0024-9297 10.1021/ma00130a012 28, 8796 (1995).
70. J. Zhao, B. Majumdar, M. F. Schulz, F. S. Bates, K. Almdal, K. Mortensen, D. A. Hajduk, and S. M. Gruner, Macromolecules MAMOBX 0024-9297 10.1021/ma9507251 29, 1204 (1996).
71. M. F. Schulz, A. K. Khandpur, F. S. Bates, K. Almdal, K. Mortensen, D. A. Hajduk, and S. M. Gruner, Macromolecules MAMOBX 0024-9297 10.1021/ma951714a 29, 2857 (1996).
72. K. Almdal, K. Mortensen, A. J. Ryan, and F. S. Bates, Macromolecules MAMOBX 0024-9297 10.1021/ma960437k 29, 5940 (1996).