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.
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References
F. S. Bates and G. H. Fredrickson, Annu. Rev. Phys. Chem. 41, 525 (1990).
K. Ohta and K. Kawasaki, Macromolecules 19, 2621 (1986).
L. Leibler, Macromolecules 13, 1602 (1980).
K. Binder, H. L. Frisch and S. Stepanow, J. Phys. II 7, 1353 (1997).
G.H. Fredrickson and E. Helfand, J. Chem. Phys. 87, 697 (1987).
M. W. Matsen and M. Schick, Phys. Rev. Lett. 72, 2660 (1994);M. W. Matsen and F. Bates, Macromolecules 29, 7641 (1996).
G. H. Fredrickson, Macromolecules 20, 2535 (1987).
H. Tang and K. F. Freed, J. Chem. Phys. 97, 4496 (1992).
K. R. Shull, Macromolecules 25, 2122 (1992).
M. S. Turner, Phys. Rev. Lett. 69, 1788 (1992).
M. S. Turner, M. R. Rubinstein and C. M. Marques, Macromolecules 27, 4986 (1994).
M. W. Matsen, J. Chem. Phys. 106, 7781 (1997).
S. H. Anastasiadis, T. P. Russell, S. K. Satija and C. F. Majkrzak, Phys. Rev. Lett. 62, 1852 (1989).
A. Menelle, T. P. Russell, S. H. Anastasiadis, S. K. Satija and C. F. Majkrzak, Phys. Rev. Lett. 68, 67 (1992).
D. G. Walton, G. J. Kellogg, A. M. Mayes, P. Lambooy and T. P. Russell, Macromolecules 27, 6225 (1994).
G. J. Kellogg, D. G. Walton, A. M. Mayes, P. Lambooy, T. P. Russell, P. D. Gallagher and S. K. Satija, Phys. Rev. Lett. 76, 2503 (1996).
P. Mansky, T. P. Russell, C. J. Hawker, J. Mayes, D. C. Cook and S. K. Satija, Phys. Rev. Lett. 79, 237 (1997).
S. T. Milner and D. C. Morse, Phys. Rev. E 54, 3793 (1996).
G. T. Pickett and A. C. Balazs, Macromolecules 30, 3097 (1997).
D. Petera and M. Muthukumar, J. Chem. Phys. 107, 9640 (1997)
D. Petera and M. Muthukumar, J. Chem. Phys. 109, 5101 (1998).
T. Geisinger, M. Mueller and K. Binder, J. Chem. Phys. 111, 5241 (2000).
G. G. Pereira and D. R. M. Williams, Phys. Rev. E 60, 5841 (1999)
G. G. Pereira and D. R. M. Williams, Phys. Rev. Lett. 80, 2849 (1998).
Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michael, J. D. Joannopoulos and E. L. Thomas, Science 282, 1679 (1998).
S. Walheim, E. Schäffer, J. Mlynek and U. Steiner, Science 283, 520 (1999).
M. Park, C. Harrison, P. M. Chaikin, R. A. Register and D. H. Adamson, Science 276, 5317 (1997).
Y. Tsori, D. Andelman and M. Schick, Phys. Rev. E. 61, 2848 (2000).
R. R. Netz, D. Andelman and M. Schick, 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).
J. Swift and P. C. Hohenberg, Phys. Rev. A 15, 319 (1977).
M. Seul and D. Andelman, Science 267, 476 (1995).
A. E. Jacobs, D. Mukamel and D. W. Allender, Phys. Rev. E 61, 2753 (2000).
G. Gompper and M. Schick, Phys. Rev. Lett. 65, 1116 (1990)
F. Schmid and M. Schick, Phys. Rev. E 48, 1882 (1993).
G. Gompper and S. Zschocke, Phys. Rev. A 46, 1836 (1992).
D. Andelman, F. Brochard and J.-F. Joanny, J. Chem. Phys. 86, 3673 (1987).
T. Garel and S. Doniach, Phys. Rev. B 26, 325 (1982).
Y. Tsori and D. Andelman, Macromolecules, in press (2001).
Y. Tsori and D. Andelman, Europhys. Lett., to be published (2001).
Y. Tsori and D. Andelman, unpublished.
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Tsori, Y., Andelman, D. Ordered Morphologies of Confined Diblock Copolymers. MRS Online Proceedings Library 651, 811 (2000). https://doi.org/10.1557/PROC-651-T8.1.1
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DOI: https://doi.org/10.1557/PROC-651-T8.1.1