From force distribution to average coordination number in frictional granular matter

Abstract

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, $z_c^{\mu }$. The results determine $z_c^{\mu }$ for a finite friction coefficient, extending the constraints counting argument of isostatic granular packing to finite frictional packings.

5 pages, 4 figures

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Cited by in corpus (3)

• Equation of state for random sphere packing with arbitrary adhesion and friction
• Density profiles of loose and collapsed cohesive granular structures generated by ballistic deposition
• The statistics of frictional families