2009/07/10 by Hauke Hinsch, Erwin Frey, Hinsch, Hauke +1
Chemistry · Engineering · Materials Science · Physics and Astronomy · #Advanced Polymer Synthesis and Characterization #FOS: Physical sciences #Polymer crystallization and properties #Slime Mold and Myxomycetes Research #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.0907.1875
9 pages, 9 figures
openalex publication_date 2009/07/10 · arxiv created 2009/07/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the viscoelastic properties of entangled networks of semiflexible polymers. At intermediate time scales the elastic response of these networks to shear deformation is described by the plateau modulus G. Different scaling laws with polymer concentration c have been proposed based on the assumption that the deformation field is affine on all length scales. We develop a numerical approach that allows to calculate the modulus via free energy changes for both affine and non-affine deformations. The non-affine deformation field is obtained by a free energy minimization. Our findings allow for a confirmation of a power law G ∝ c7/5 lp-1/5 with polymer concentration c and persistence length lp and furthermore quantify the systematic deviations due to the affinity assumption.