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We investigate the viscoelastic properties of entangled networks ofsemiflexible polymers. At intermediate time scales the elastic response ofthese networks to shear deformation is described by the plateau modulus $G$.Different scaling laws with polymer concentration $c$ have been proposed basedon the assumption that the deformation field is affine on all length scales. Wedevelop a numerical approach that allows to calculate the modulus via freeenergy changes for both affine and non-affine deformations. The non-affinedeformation field is obtained by a free energy minimization. Our findings allowfor a confirmation of a power law $G \propto c^{7/5} l_p^{-1/5}$ with polymerconcentration $c$ and persistence length $l_p$ and furthermore quantify thesystematic deviations due to the affinity assumption.

Non-Affine Shear Modulus in Entangled Networks of Semiflexible Polymers