Elasticity of highly cross-linked random networks
Soft Condensed Matter
2011-12-06 v1 Disordered Systems and Neural Networks
Abstract
Starting from a microscopic model of randomly cross-linked particles with quenched disorder, we calculate the Laudau-Wilson free energy S for arbitrary cross-link densities. Considering pure shear deformations, S takes the form of the elastic energy of an isotropic amorphous solid state, from which the shear modulus can be identified. It is found to be an universal quantity, not depending on any microscopic length-scales of the model.
Keywords
Cite
@article{arxiv.cond-mat/0608388,
title = {Elasticity of highly cross-linked random networks},
author = {Stephan Ulrich and Xiaoming Mao and Paul M. Goldbart and Annette Zippelius},
journal= {arXiv preprint arXiv:cond-mat/0608388},
year = {2011}
}
Comments
6 pages, 5 figures