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Ordered Morphologies of Confined Diblock Copolymers

Published online by Cambridge University Press:  21 March 2011

Yoav Tsori  and
David Andelman
Yoav Tsori
Affiliation:
School of Physics and Astronomy Raymond and Beverly Sackler Faculty of Exact Sciences Tel Aviv University, 69978 Ramat Aviv, Israel
David Andelman
Affiliation:
School of Physics and Astronomy Raymond and Beverly Sackler Faculty of Exact Sciences Tel Aviv University, 69978 Ramat Aviv, Israel
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Abstract

We investigate the ordered morphologies occurring in thin-films diblock copolymer. For temperatures above the order-disorder transition and for an arbitrary two-dimensional surface pattern, we use a Ginzburg-Landau expansion of the free energy to obtain a linear response description of the copolymer melt. The ordering in the directions perpendicular and parallel to the surface are coupled. Three dimensional structures existing when a melt is confined between two surfaces are examined. Below the order-disorder transition we find tilted lamellar phases in the presence of striped surface fields.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 651: Symposium T – Dynamics in Small Confining Systems V , 2000 , T8.1.1
Copyright
Copyright © Materials Research Society 2001

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References

[1] Bates, F. S. and Fredrickson, G. H., Annu. Rev. Phys. Chem. 41, 525 (1990).Google Scholar
[2] Ohta, K. and Kawasaki, K., Macromolecules 19, 2621 (1986).Google Scholar
[3] Leibler, L., Macromolecules 13, 1602 (1980).Google Scholar
[4] Binder, K., Frisch, H. L. and Stepanow, S., J. Phys. II 7, 1353 (1997).Google Scholar
[5] Fredrickson, G.H. and Helfand, E., J. Chem. Phys. 87, 697 (1987).Google Scholar
[6] Matsen, M. W. and Schick, M., Phys. Rev. Lett. 72, 2660 (1994);M. W. Matsen and F. Bates, Macromolecules 29, 7641 (1996).Google Scholar
[7] Fredrickson, G. H., Macromolecules 20, 2535 (1987).Google Scholar
[8] Tang, H. and Freed, K. F., J. Chem. Phys. 97, 4496 (1992).Google Scholar
[9] Shull, K. R., Macromolecules 25, 2122 (1992).Google Scholar
[10] Turner, M. S., Phys. Rev. Lett. 69, 1788 (1992).Google Scholar
[11] Turner, M. S., Rubinstein, M. R. and Marques, C. M., Macromolecules 27, 4986 (1994).Google Scholar
[12] Matsen, M. W., J. Chem. Phys. 106, 7781 (1997).Google Scholar
[13] Anastasiadis, S. H., Russell, T. P., Satija, S. K. and Majkrzak, C. F., Phys. Rev. Lett. 62, 1852 (1989).Google Scholar
[14] Menelle, A., Russell, T. P., Anastasiadis, S. H., Satija, S. K. and Majkrzak, C. F., Phys. Rev. Lett. 68, 67 (1992).Google Scholar
[15] Walton, D. G., Kellogg, G. J., Mayes, A. M., Lambooy, P. and Russell, T. P., Macromolecules 27, 6225 (1994).Google Scholar
[16] Kellogg, G. J., Walton, D. G., Mayes, A. M., Lambooy, P., Russell, T. P., Gallagher, P. D. and Satija, S. K., Phys. Rev. Lett. 76, 2503 (1996).Google Scholar
[17] Mansky, P., Russell, T. P., Hawker, C. J., Mayes, J., Cook, D. C. and Satija, S. K., Phys. Rev. Lett. 79, 237 (1997).Google Scholar
[18] Milner, S. T. and Morse, D. C., Phys. Rev. E 54, 3793 (1996).Google Scholar
[19] Pickett, G. T. and Balazs, A. C., Macromolecules 30, 3097 (1997).Google Scholar
[20] Petera, D. and Muthukumar, M., J. Chem. Phys. 107, 9640 (1997); D. Petera and M. Muthukumar, J. Chem. Phys. 109, 5101 (1998).Google Scholar
[21] Geisinger, T., Mueller, M. and Binder, K., J. Chem. Phys. 111, 5241 (2000).Google Scholar
[22] Pereira, G. G. and Williams, D. R. M., Phys. Rev. E 60, 5841 (1999); G. G. Pereira and D. R. M. Williams, Phys. Rev. Lett. 80, 2849 (1998).Google Scholar
[23] Fink, Y., Winn, J. N., Fan, S., Chen, C., Michael, J., Joannopoulos, J. D. and Thomas, E. L., Science 282, 1679 (1998).Google Scholar
[24] Walheim, S., Schäffer, E., Mlynek, J. and Steiner, U., Science 283, 520 (1999).Google Scholar
[25] Park, M., Harrison, C., Chaikin, P. M., Register, R. A. and Adamson, D. H., Science 276, 5317 (1997).Google Scholar
[26] Tsori, Y., Andelman, D. and Schick, M., Phys. Rev. E. 61, 2848 (2000).Google Scholar
[27] Netz, R. R., Andelman, D. and Schick, M., Phys. Rev. Lett. 79, 1058 (1997); S. Villain-Guillot, R. R. Netz, D. Andelman and M. Schick, Physica A 249, 285 (1998); S. Villain-Guillot and D. Andelman, Eur. Phys. J. B 4, 95 (1998).Google Scholar
[28] Swift, J. and Hohenberg, P. C., Phys. Rev. A 15, 319 (1977).Google Scholar
[29] Seul, M. and Andelman, D., Science 267, 476 (1995).Google Scholar
[30] Jacobs, A. E., Mukamel, D. and Allender, D. W., Phys. Rev. E 61, 2753 (2000).Google Scholar
[31] Gompper, G. and Schick, M., Phys. Rev. Lett. 65, 1116 (1990); F. Schmid and M. Schick, Phys. Rev. E 48, 1882 (1993).Google Scholar
[32] Gompper, G. and Zschocke, S., Phys. Rev. A 46, 1836 (1992).Google Scholar
[33] Andelman, D., Brochard, F. and Joanny, J.-F., J. Chem. Phys. 86, 3673 (1987).Google Scholar
[34] Garel, T. and Doniach, S., Phys. Rev. B 26, 325 (1982).Google Scholar
[35] Tsori, Y. and Andelman, D., Macromolecules, in press (2001).Google Scholar
[36] Tsori, Y. and Andelman, D., Europhys. Lett., to be published (2001).Google Scholar
[37] Tsori, Y. and Andelman, D., unpublished.Google Scholar