Viscoelasticity of Solutions of Motile Polymers

We explore the linear viscoelastic response of an entangled, isotropic solution of polar semiflexible polymers with active, motile centers which generate longitudinal motion. Because of the activity of these centers, the short-time modulus displays two novel power-law regimes: Initially $G\left(t\right)\propto t^{-1\mathrm{}/8}$, then the response is “Rouse-like” with $G\left(t\right)\propto t^{-1\mathrm{}/2}$. At longer times we find accelerated relaxation due to directed reptation, resulting in a reduced low frequency viscosity.