J. Phys. II France
Volume 5, Number 10, October 1995
Page(s) 1491 - 1500
DOI: 10.1051/jp2:1995195
J. Phys. II France 5 (1995) 1491-1500

Elasticity of c*-Gels

Ralf Everaers

Institut für Festkörperforschung, Theorie II, Forschungszentrum Jülich, Postfach 1913, 52 425 Jülich, Germany

(Received 13 June 1995, received in final form 27 June 1995, accepted 7 July 1995)

A junction affine network model is solved for chains following a Redner-des Cloizeaux distribution. In a gel at c* the network strands behave as isolated chains. In a good solvent their elastic properties cannot be obtained from Gaussian statistics as in the classical models of rubber elasticity. Instead the Redner-des Cloizeaux distribution is employed, which is known to be an excellent approximation to the end-to-end distance distribution of flexible polymer chains in a good solvent. The implications of using non-linear entropic springs, the role of fluctuations and the quality of the affine approximation are worked out for a Flory-Rehner model. The applicability to swollen networks and the elasticity of two dimensional c*-gels are briefly discussed.

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