From force distribution to average coordination number in frictional granular matter

Details From force distribution to average coordination number in frictional granular matter From force distribution to average coordination number in frictional granular matter

2008-08-20

arxiv.org/abs/0808.2682v1

Physica A 389 (2010) 3972-3977

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 4 figures

Scientific paper

10.1016/j.physa.2010.05.053

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

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