Abstract
Polymeric materials pose a challenge for Monte Carlo simulations because of the widely spread length and time scales involved. Using large scale computer simulations we investigate the interfacial structure in a partially compatible polymer mixture. The problem is studied in the framework of a coarse grained lattice model - the bond fluctuation model on the simple cubic lattice, choosing N = 32 and lattice linear dimensions L × L × D up to 512 × 512 × 64. We employ a two dimensional geometric decomposition scheme to implement this algorithm on the CRAY T3E. The algorithm scales very well with the number of processors. The structure of polymer coils near interfaces between coexisting phases of symmetrical polymer mixtures (AB) is discussed, as well as the structure of symmetric diblock copolymers of the same chain length N adsorbed at the interface. Distribution functions for monomers at the chain ends, in the center of the copolymer chain, and in the center of the individual blocks are obtained. These are compared to the predictions of the self consistent field theory. For low copolymer concentration (“mushroom regime”) the copolymer extends its blocks into the appropriate bulk phases; individual blocks are only mildly perturbed (“dumb-bell”-like). At higher copolymer concentration, the copolymer displaces the homopolymer from the interface (“dry brush”).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
D.S. Walsh, J.S. Higgins, A. Maconnachie (eds.) Polymer Blends and Mittures, (Martinas Nijhoff, Dordrecht, 1985).
L.A. Kleintjens, P.J. Lemstra (eds.) Integration of Fundamental Polymer Science and Technology (Elsevier, Amsterdam 1986).
S.T. Milner, MRS Bulletin 22 (1997) 38.
F.S. Bates, G.H. Fredrickson, Annu. Rev. Phys. Chem. 41 (1990) 525.
K. Binder, Adv. Polymer Sci. 112 (1994) 181.
L. Leibler, Makromol. Chem., Macromol. Symp. 16 (1988) 1.
A.N. Semenov, Macromolecules 25 (1992) 4967.
N.G. Beck, S.-K. Tai, R.M. Briber, Polymer 37 (1996) 3509.
S.T. Milner, H. Xi, J. Rheol. 40 (1996) 663.
R. Schnell, M. Stamm, C. Creton, Macromolecules 31 (1998) 2284.
E. Helfand, Y. Tagami, J. Chem. Phys. 56 (1971) 3592; ibid 57 (1972) 1812.
J. Noolandi, K.M. Hong, Macromolecules 15 (1982) 482; ibid 17 (1984) 1531.
K.R. Shull, Macromolecules 26 (1993) 2346.
M. Stamm, D.W. Schubert, Annu. Rev. Mat. Sci 25 (1995) 326.
B. Löwenhaupt, G.P. Hellmann, Colloid & Polymer Sci. 268 (1990) 885.
K.R. Shull, E.J. Kramer, T. Hadziioannou, W. Tang, Macromolecules 23 (1990) 4780.
D.G. Bucknall, J.S. Higgins, J. Penfold, Physica B 180, 181 (1992) 468.
K.H. Dai, L.J. Norton, E.J. Kramer, Macromolecules 27 (1994) 1949.
P.F. Green, T.P. Russell, Macromolecules 24 (1991) 2931;
R.R. Shull, A.M. Mayes, T.P. Russell, Macromolecules 26 (1993) 3929.
M. Müller, K. Binder, W. Oed, Faraday Trans. 91 (1995) 2369.
F. Schmid, M. Müller, Macromolecules 28 (1995) 1825.
A. Werner, F. Schmid, K. Binder, M. Müller, Macromolecules 29 (1996) 8241.
M. Müller, M. Schick, J. Chem. Phys. 105 (1996) 8885.
I. Carmesin, K. Kremer, Macromolecules 21 (1988) 2819.
H.-P. Deutsch, K. Binder, J. Chem. Phys. 94 (1991) 2294;
K. Binder (ed.) Monte Carlo and Molecular Dynamics Simulations in Polymer Science (Oxford University Press, New York 1995).
W. Paul, K. Binder, D.W. Herrmann, K. Kremer, J.Phys. II (France) I (1991) 37.
H.-P. Deutsch, K. Binder, J.Phys. II (France) 3 (1993) 1049.
M. Müller, K. Binder, Macromolecules 28 (1995) 1825.
M. Müller, K. Binder, J.Phys. II (France) 6 (1996) 187.
M. Müller, EPFL Supercomputer Review 7 (1995) 21.
H. Fried, K. Binder, J. Chem. Phys. 94 (1991) 8349;
K. Binder, H. Fried, Macromolecules 26 (1993) 2860.
A. Werner, F. Schmid, M. Müller, K. Binder, J.Chem.Phys. 107 (1997) 8175.
M. Müller, A. Werner, J.Chem.Phys. 107 (1997) 10764.
K. Binder, M. Müller, F. Schmid, A. Werner, Physica A 249 (1998) 293.
M. Müller, F. Schmid, Annual Reviews in Computational Physics, D. Stauffer (edt). (1998, in press).
K. Binder, M. Müller, F. Schmid, A. Werner, Macromolecular Symposia (1998, in press).
A. Werner, Dissertation, Universität Mainz (1998).
F. Schmid, J.Phys.Cond.Matt. (in preparation).
A. Werner et al. (in preparation).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Werner, A., Schmid, F., Müller, M., Binder, K. (1999). Interfaces in immiscible polymer blends: A Monte Carlo simulation approach on the CRAY T3E. In: Krause, E., Jäger, W. (eds) High Performance Computing in Science and Engineering ’98. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58600-2_19
Download citation
DOI: https://doi.org/10.1007/978-3-642-58600-2_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-63661-5
Online ISBN: 978-3-642-58600-2
eBook Packages: Springer Book Archive