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arXiv · 0808.2682

From force distribution to average coordination number in frictional granular matter

Ping Wang·Chaoming Song·Christopher Briscoe·Kun Wang·Hernan A. Makse
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Abstract

We study the joint probability distribution of normal and tangential frictional forces in jammed granular media, $P_μ(f_t, f_n)$, for various friction coefficient $μ$, especially when $μ= \infty$. A universal scaling law is found to collapse the data for $μ=0$ to $\infty$ demonstrating a link between force distribution $P_μ(f_t, f_n)$ and average coordination number, $z^μ_c$. The results determine $z_c^μ$ for a finite friction coefficient, extending the constraints counting argument of isostatic granular packing to finite frictional packings.

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Ping Wang, Chaoming Song, Christopher Briscoe, Kun Wang, Hernan A. Makse. 2008-08-20. From force distribution to average coordination number in frictional granular matter. https://doi.org/10.1016/j.physa.2010.05.053

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