First order rigidity transition and multiple stability regimes for random networks with internal stresses
Materials Science
2009-11-11 v1 Disordered Systems and Neural Networks
Abstract
By applying effective medium-style calculations to random spring networks, we demonstrate that internal stresses fundamentally alter the nature of the rigidity transition in disordered materials, changing it from continuous to first-order and increasing the mean coordination number z at which rigidity first occurs. Furthermore, we predict the existence of a novel stability regime at low z when the distribution of stresses is asymmetric. Means of verifying these predictions are suggested.
Cite
@article{arxiv.cond-mat/0503469,
title = {First order rigidity transition and multiple stability regimes for random networks with internal stresses},
author = {D. A. Head},
journal= {arXiv preprint arXiv:cond-mat/0503469},
year = {2009}
}
Comments
9 pages in JPhysA-spec, 2 figs