Stressed backbone and elasticity of random central-force systems
Statistical Mechanics
2009-10-28 v1 Materials Science
Abstract
We use a new algorithm to find the stress-carrying backbone of ``generic'' site-diluted triangular lattices of up to 10^6 sites. Generic lattices can be made by randomly displacing the sites of a regular lattice. The percolation threshold is Pc=0.6975 +/- 0.0003, the correlation length exponent \nu =1.16 +/- 0.03 and the fractal dimension of the backbone Db=1.78 +/- 0.02. The number of ``critical bonds'' (if you remove them rigidity is lost) on the backbone scales as L^{x}, with x=0.85 +/- 0.05. The Young's modulus is also calculated.
Cite
@article{arxiv.cond-mat/9612237,
title = {Stressed backbone and elasticity of random central-force systems},
author = {Cristian F. Moukarzel and Phillip M. Duxbury},
journal= {arXiv preprint arXiv:cond-mat/9612237},
year = {2009}
}
Comments
5 pages, 5 figures, uses epsfig