Force distributions in a triangular lattice of rigid bars
Soft Condensed Matter
2009-11-11 v2
Abstract
We study the uniformly weighted ensemble of force balanced configurations on a triangular network of nontensile contact forces. For periodic boundary conditions corresponding to isotropic compressive stress, we find that the probability distribution for single-contact forces decays faster than exponentially. This super-exponential decay persists in lattices diluted to the rigidity percolation threshold. On the other hand, for anisotropic imposed stresses, a broader tail emerges in the force distribution, becoming a pure exponential in the limit of infinite lattice size and infinitely strong anisotropy.
Cite
@article{arxiv.cond-mat/0505003,
title = {Force distributions in a triangular lattice of rigid bars},
author = {Brian P. Tighe and Joshua E. S. Socolar and David G. Schaeffer and W. Garrett Mitchener and Mark L. Huber},
journal= {arXiv preprint arXiv:cond-mat/0505003},
year = {2009}
}
Comments
11 pages, 17 figures Minor text revisions; added references and acknowledgment