J. Phys. II France
Volume 2, Numéro 10, October 1992
|Page(s)||1811 - 1823|
J. Phys. II France 2 (1992) 1811-1823
One long chain among shorter chains : the Flory approach revisitedE. Raphaël1, G. H. Fredrickson2 and P. Pincus3
1 Institute for Polymer & Organic Solids and Materials Department, University of California, Santa Barvara CA 93106, U.S.A.
2 Chemical and Nuclear Engineering and Materials Departments, University of California, Santa Barbara CA 93106, U.S.A.
3 Materials and Physics Department, University of California, Santa Barbara CA 93106, U.S.A
(Received 22 June 1992, accepted 20 July 1992)
We consider the mean square end-to-end distance of a long chain immersed in a monodisperse, concentrated solution of shorter, chemically identical chains. In contrast with the earlier work of Flory, no simplifying assumption on the wave vector dependence of the effective potential between segments is made. In order to obtain a closed form expression for the dimension of the long chain, we first derive a general expression for the mean square end-to-end distance of a flexible chain with arbitrary two-body interactions using the Edwards-Singh method.
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