Viscoelastic relaxation of segment orientation in dilute polymer solutions

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Abstract
Time autocorrelation and memory functions for segment orientation are derived for a general diffusion model of a linear polymer chain in solution. Exact analytical results for the orientation and alignment memories P1(t), P2(t) (averages of the first and second order Legendre polynomial of the cosine of the angle of rotation of a segment) are obtained as a function of the time autocorrelation function M1(t) of the segment vector. These expressions significantly depart from the results for the diffusional rotation of a sphere: P1=M1, P2=M31.