J. Phys. II France
Volume 2, Numéro 6, June 1992
|Page(s)||1341 - 1344|
J. Phys. II France 2 (1992) 1341-1344
Scaling theory of polymer solutions trapped in small pores : the -solvent caseE. Raphael1 and P. Pincus2
1 Institute for Polymer & Organic Solids, University of California, Santa Barbara CA 93106, U.S.A.
2 Materials and Physics Departments, University of California, Santa Barbara CA 93106, U.S.A.
(Received 11 February 1992, accepted 27 February 1992)
We study theoretically the behavior of a single macromolecular chain dissolved in a -solvent and confined in a tube with a diameter D comparable to the natural size (R0=N1/2a) of the chain ( N being the number of monomers of the chain). We find that for the longitudinal dimension of the chain increases as , in contrast with the longitudinal behavior of an ideal chain which is unaffected by the confinement. We show that this extension of the chain is a consequence of the three-body interactions which are still present at the Flory temperature. We then generalize these results to semi-dilute solutions where the overlap between different chains is significant.
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