Self-organization with equilibration: a model for the intermediate phase in rigidity percolation
Abstract
Recent experimental results for covalent glasses suggest the existence of an intermediate phase attributed to the self-organization of the glass network resulting from the tendency to minimize its internal stress. However, the exact nature of this experimentally measured phase remains unclear. We modify a previously proposed model of self-organization by generating a uniform sampling of stress-free networks. In our model, studied on a diluted triangular lattice, an unusual intermediate phase appears, in which both rigid and floppy networks have a chance to occur, a result also observed in a related model on a Bethe lattice by Barre et al. [Phys. Rev. Lett. 94, 208701 (2005)]. Our results for the bond-configurational entropy of self-organized networks, which turns out to be only about 2% lower than that of random networks, suggest that a self-organized intermediate phase could be common in systems near the rigidity percolation threshold.
Cite
@article{arxiv.cond-mat/0602412,
title = {Self-organization with equilibration: a model for the intermediate phase in rigidity percolation},
author = {M. V. Chubynsky and M. -A. Briere and N. Mousseau},
journal= {arXiv preprint arXiv:cond-mat/0602412},
year = {2009}
}
Comments
9 pages, 6 figures