Elasticity of Gaussian and nearly-Gaussian phantom networks
Statistical Mechanics
2009-10-31 v1
Abstract
We study the elastic properties of phantom networks of Gaussian and nearly-Gaussian springs. We show that the stress tensor of a Gaussian network coincides with the conductivity tensor of an equivalent resistor network, while its elastic constants vanish. We use a perturbation theory to analyze the elastic behavior of networks of slightly non-Gaussian springs. We show that the elastic constants of phantom percolation networks of nearly-Gaussian springs have a power low dependence on the distance of the system from the percolation threshold, and derive bounds on the exponents.
Cite
@article{arxiv.cond-mat/0006004,
title = {Elasticity of Gaussian and nearly-Gaussian phantom networks},
author = {Oded Farago and Yacov Kantor},
journal= {arXiv preprint arXiv:cond-mat/0006004},
year = {2009}
}
Comments
submitted to Phys. Rev. E, 10 pages, 1 figure