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Viscoelastic and thermodynamic properties of transient gels comprised oftelechelic polymers are theoretically studied. We extend classical theories oftransient networks so that correlations among polymer chains through thenetwork junctions are taken into account. This extension enables us toinvestigate how rheological quantities, such as viscosity and elastic modulus,are affected by the association equilibrium conditions, and how thesequantities are related to the aggregation number of junctions. We present atheoretical model of transient networks with junctions comprised of variablenumber of hydrophobic groups on the chain ends. Elastically effective chainsare defined as the chains whose both ends are associated with end groups onother chains. It is shown that the dynamic shear moduli are well described interms of the Maxwell model characterized by a single relaxation time and thehigh-frequency plateau modulus as in the classical theories, but the reduceddynamic shear moduli depend on the polymer concentration and temperaturethrough the reduced concentration c given as a combination of the associationconstant and the volume fraction of end groups. The plateau modulus and thezero-shear viscosity rise nonlinearly with increasing c when c is small, butthey are proportional to c for higher c. The relaxation time also increases asc increases due to the presence of pairwise junctions at small c.Comment: 24 pages, 17 figure

Rheological study of transient networks with junctions of limited multiplicity