Elasticity of Stiff Polymer Networks

Preprint

27 March 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0303592

Abstract

We study the elasticity of a two-dimensional random network of rigid rods (``Mikado model''). The essential features incorporated into the model are the anisotropic elasticity of the rods and the random geometry of the network. We show that there are three distinct scaling regimes, characterized by two distinct length scales on the elastic backbone. In addition to a critical rigidiy percolation region and a homogeneously elastic regime we find a novel intermediate scaling regime, where elasticity is dominated by bending deformations.

Keywords

REGION AND A HOMOGENEOUSLY
ELASTICITY OF STIFF
DIMENSIONAL RANDOM
POLYMER NETWORKS
SCALING REGIMES
STIFF POLYMER
DEFORMATIONS
MODEL

All Related Versions

Version 1, 2003-03-27, ArXiv
Published version: Physical Review Letters, 91 (10), 108103.