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Equjlubrium Topologies of Associatxng Polymers*

Published online by Cambridge University Press:  25 February 2011

Arlette R. C. Baljon  and
Thomas A. Witten
Arlette R. C. Baljon
Affiliation:
The James Franck Institute, The University of Chicago, 5640 S. Ellis Avenue, Chicago, Illinois 60637
Thomas A. Witten
Affiliation:
The James Franck Institute, The University of Chicago, 5640 S. Ellis Avenue, Chicago, Illinois 60637
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Abstract

We have developed a Monte-Carlo computer simulation to study associating polymer interactions. In our model we treat the associations as geometrical constraints. Each polymer chain contains two‘stickers’. The chains are treated as lattice selfavoiding random walks. Each sticker is constrained to be adjacent to one other sticker, but the stickers are free to exchange partners. This freedom to exchange results in an attraction between the chains, as anticipated by Cates and Witten.1 We find that in equilibrium the mutual excluded volume of two such chains passes from repulsive to attractive when the ratio of the sticker distance to the chain length is approximately 0.8. These results are independent of the chain length: they should apply to real polymers subject to these topological constraints in any good solvent at sufficiently high molecular weight.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 248: Symposium O – Complex Fluids , 1991 , 455
Copyright
Copyright © Materials Research Society 1992

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Footnotes

*

An extended version of this work has been submitted to Macromolecules

References

[1] Cates, M. E. and Witten, T. A., Macromolecules 19, 732 (1986).CrossRefGoogle Scholar
[2] MacKnight, W. J. and Earnest, T. R. Jr., J.Polym.Sci.Macromol.Rev. 16, 41 (1981).CrossRefGoogle Scholar
[3] Williams, C.E., Russell, T. P., Jerome, R. and Horrion, J., Macromolecules 19, 2877 (1986).Google Scholar
[4] Agarwal, P. K., Garner, R. T. and Lundberg, R. D., Macromolecules 17, 2794 (1984).Google Scholar
[5] Broze, G., Jerome, R., Teyssie, P. and Marko, C., Macromolecules 16, 996 (1983).Google Scholar
[6] Duvdevani, I. and Lundberg, R. D., US Patent, No. 808117 (851212) (3 November 1987).Google Scholar
[7] Witten, T. A. and Cohen, M. H., Macromolecules 18, 1915 (1985).Google Scholar
[8] Murat, M. and Witten, T. A., Macromolecules 23, 520 (1990).Google Scholar
[9] Reichl, L. E., A Modern Course in Statistical Physics, (University of Texas Press, Austin, 1980).Google Scholar
[10] Cloizeaux, J. des and Noda, I., Macromolecules 15, 1505 (1982).Google Scholar
[11] Agarwal, P., Garner, R. T. and Graessley, W. W., J. Polymer Sci., Part B: Polym. Phys. Ed. 25, 2095 (1987).Google Scholar