Properties of layer-by-layer vector stochastic models of force fluctuations in granular materials
Abstract
We attempt to describe the stress distributions of granular packings using lattice-based layer-by-layer stochastic models that satisfy the constraints of force and torque balance and non-tensile forces at each site. The inherent asymmetry in the layer-by-layer approach appears to lead to an asymmetric force distribution, in disagreement with both experiments and general symmetry considerations. The vertical force component probability distribution is robust and in agreement with predictions of the scalar q model while the distribution of horizontal force components is qualitatively different and depends on the details of implementation.
Keywords
Cite
@article{arxiv.cond-mat/9811202,
title = {Properties of layer-by-layer vector stochastic models of force fluctuations in granular materials},
author = {M. L. Nguyen and S. N. Coppersmith},
journal= {arXiv preprint arXiv:cond-mat/9811202},
year = {2009}
}
Comments
18 pages, 12 figures (with subfigures), 1 table. Uses revtex, epsfig,subfigure, and cite. Submitted to PRE. Plots have been bitmapped. High-resolution version is available. Email [email protected] or download from http://rainbow.uchicago.edu/~mbnguyen/research/vm.html