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We provide a comprehensive overview of the current theoretical understandingof the dynamic structure factor of stiff polymers in semidilute solution basedon the wormlike chain (WLC) model. We extend previous work by computing exactnumerical coefficients and an expression for the dynamic mean squaredisplacement (MSD) of a free polymer and compare various common approximationsfor the hydrodynamic interactions, which need to be treated accurately if onewants to extract quantitative estimates for model parameters from experimentaldata. A recent controversy about the initial slope of the dynamic structurefactor is thereby resolved. To account for the interactions of the polymer witha surrounding (sticky) polymer solution, we analyze an extension of the WLCmodel, the glassy wormlike chain (GWLC), which predicts near power-law andlogarithmic long-time tails in the dynamic structure factor.

Dynamic structure factor of a stiff polymer in a glassy solution