Abstract
Memory effects arising from material inhomogeneity and cooperative molecular motion are modeled by using an integral equation approach. The relaxation model is applied to polymer melt dynamics. A cluster model is introduced to estimate the molecular weight dependence of the zero-shear rate viscosity and the diffusion coefficient of entangled polymers. Results similar to the reptation model are obtained in four dimensions, and the Rouse theory is recovered in the limit of infinite dimensionality. Estimates of the concentration dependence of entangled polymer solution transport properties are also given
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