Concentration fluctuation of stiff polymers. II. Dynamical structure factor of rod-like polymers in the isotropic phase

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Abstract
The dynamical structure factor of the solution of rod‐like polymers is calculated by using a newly proposed kinetic equation. The initial decay rate of the structure factor is obtained as a power series of the scattering vector k. It is found that (i) the coefficient of k 2, which gives the cooperative diffusion constant, increases with concentration due to the excluded volume of rod and (ii) the coefficient of k 4 changes sign from positive to negative. These results agree qualitatively with experiments.