Dynamics in nonentangled concentrated polymer solutions. I. The full dynamic multiple scattering approach to first order in concentration

The concentration dependence of flexible polymer relaxation times in concentrated nonentangled solutions is studied by a full dynamic multiple scattering approach. In the absence of macroscopic entanglements effects the screening of the hydrodynamic interaction is the dominant phenomenon governing this concentration dependence. The leading concentration contribution to the relaxation times is used to introduce the screening constant through its effect on the hydrodynamic interaction matrix. The exact Langevin equation for the normal coordinates of the polymer is derived and analyzed through leading order in concentration. It is shown that there is a concentration‐dependent memory kernel which emerges in the exact Langevin equation for the polymer chain dynamics in concentrated solutions, a departure from the infinite dilution situation where the (delta function) kernel is instantaneous. This implies that the relaxation matrix is frequency dependent. The general conditions for having an effective relaxatio...

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